The DOI matches its Crossref record; 142 of the 142 references it cites were found in a registry or an index.
Harmonic analysis and propagators on homogeneous spaces
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Moreover, it is possible to show that the function Z(s) has a meromorphic continuation in the whole complex s-plane.”
From The Casimir effect for a class of hyperbolic (D+1)-dimensional spacetimes (1992) · cites this paper as [16]
Citations
Cites
Table of Integrals, Series, and Products.
Kolbig, K. S., Gradshteyn, I. S., Ryzhik, I. M., Jeffrey, A., & Scripta Technica, I. (1995) · Mathematics of Computation · doi:10.2307/2153347 · Cited by 9,550
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Tables of Integrals, Series, and Products.
Bello, A. D., Gradshteyn, I. S., RYZHIK, I. M., & Jeffrey, A. (1995) · Journal of the Royal Statistical Society Series D (The Statistician) · doi:10.2307/2348458 · Cited by 5,860
Differential Geometry, Lie Groups, and Symmetric Spaces
Helgason, S. (2001) · Graduate studies in mathematics · doi:10.1090/gsm/034 · Cited by 5,421
Tables of Integrals, Series, and Products
Gradshteyn, I. S., RYZHIK, I. M., & Romer, R. H. (1988) · American Journal of Physics · doi:10.1119/1.15756 · Cited by 3,662
Bondi, S. H. (1974) · Journal of the Franklin Institute · doi:10.1016/0016-0032(74)90062-3 · Cited by 2,968
Special Functions and the Theory of Group Representations
Vilenkin, N. (1968) · Translations of Mathematical Monographs · doi:10.1090/mmono/022 · Cited by 2,072
Techniques and Applications of Path Integration
Schulman, L. S., & DeWitt-Morette, C. (1981) · Physics Today · doi:10.1063/1.2914703 · Cited by 2,068
Helgason, S. (2000) · Mathematical surveys and monographs · doi:10.1090/surv/083 · Cited by 2,035
Gravitation, gauge theories and differential geometry
Eguchi, T., Gilkey, P., & Hanson, A. J. (1980) · Physics Reports · doi:10.1016/0370-1573(80)90130-1 · Cited by 1,778
An Introduction to Differentiable Manifolds and Riemannian Geometry
(1975) · Pure and applied mathematics · doi:10.1016/s0079-8169(08)x6065-9 · Cited by 1,770
Eigenvalues in Riemannian Geometry
(1984) · Pure and Applied Mathematics · doi:10.1016/s0079-8169(08)x6051-9 · Cited by 1,742
Lie Groups, Lie Algebras, and Their Representations
Varadarajan, V. S. (1984) · Graduate Texts in Mathematics · doi:10.1007/978-1-4612-1126-6 · Cited by 1,739
Quantum field theory in curved spacetime
DeWitt, B. S. (1975) · Physics Reports · doi:10.1016/0370-1573(75)90051-4 · Cited by 1,730
Dynamical Theory of Groups and Fields
DeWitt, B. S., & Mullin, A. A. (1966) · American Journal of Physics · doi:10.1119/1.1953053 · Cited by 1,634
Theory of Group Representations and Applications
Barut, A., & Raczka, R. (1986) · WORLD SCIENTIFIC eBooks · doi:10.1142/0352 · Cited by 1,426
Zeta function regularization of path integrals in curved spacetime
Hawking, S. W. (1977) · Communications in Mathematical Physics · doi:10.1007/bf01626516 · Cited by 1,160
Analysis, Manifolds and Physics
(2000) · Elsevier eBooks · doi:10.1016/b978-0-444-50473-9.x5000-3 · Cited by 1,040
Duff, M. (1986) · Physics Reports · doi:10.1016/0370-1573(86)90163-8 · Cited by 1,038
Complex powers of an elliptic operator
Seeley, R. T. (1967) · Proceedings of Symposia in Pure Mathematics · doi:10.1090/pspum/010/0237943 · Cited by 1,032
Mathematical Formulation of the Quantum Theory of Electromagnetic Interaction
Feynman, R. P. (1950) · Physical Review · doi:10.1103/physrev.80.440 · Cited by 1,024
Quantum integrable systems related to lie algebras
Olshanetsky, M. A., & Perelomov, A. M. (1983) · Physics Reports · doi:10.1016/0370-1573(83)90018-2 · Cited by 991
Curvature and the eigenvalues of the Laplacian
McKean, Jr., & Singer, I. M. (1967) · Journal of Differential Geometry · doi:10.4310/jdg/1214427880 · Cited by 930
Misner, C. W. (1969) · Physical Review Letters · doi:10.1103/physrevlett.22.1071 · Cited by 856
L'intégrale de Riemann-Liouville et le problème de Cauchy
Riesz, M. (1949) · Acta Mathematica · doi:10.1007/bf02395016 · Cited by 848
Classical integrable finite-dimensional systems related to Lie algebras
Olshanetsky, M. A., & Perelomov, A. M. (1981) · Physics Reports · doi:10.1016/0370-1573(81)90023-5 · Cited by 822
Le Spectre D'une Variété Riemannienne
Berger, M., Gauduchon, P., & Mazet, E. (1971) · Lecture notes in mathematics · doi:10.1007/bfb0064646 · Cited by 797
Salam, A., & Strathdee, J. (1982) · Annals of Physics · doi:10.1016/0003-4916(82)90291-3 · Cited by 718
Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
Minakshisundaram, S., & Pleijel, Å. (1949) · Canadian Journal of Mathematics · doi:10.4153/cjm-1949-021-5 · Cited by 715
The spectral geometry of a Riemannian manifold
Gilkey, P. (1975) · Journal of Differential Geometry · doi:10.4310/jdg/1214433164 · Cited by 712
Effective Lagrangian and energy-momentum tensor in de Sitter space
Dowker, J. S., & Critchley, R. (1976) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.13.3224 · Cited by 701
Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles
DeWitt, B. S. (1957) · Reviews of Modern Physics · doi:10.1103/revmodphys.29.377 · Cited by 640
Space-time symmetries in gauge theories
Forgács, P., & Manton, N. S. (1980) · Communications in Mathematical Physics · doi:10.1007/bf01200108 · Cited by 602
Christensen, S. M. (1976) · Physical Review D · doi:10.1103/physrevd.14.2490 · Cited by 594
Compact Lie groups and their representations
Zhelobenko, D. P. (1973) · Medical Entomology and Zoology · Cited by 542
Invariant Affine Connections on Homogeneous Spaces
Nomizu, K. (1954) · American Journal of Mathematics · doi:10.2307/2372398 · Cited by 532
Symmetry groups and their applications
Miller, W. (1972) · Cited by 506
Feynman rules for gauge theories at finite temperature
Bernard, C. W. (1974) · Physical Review D · doi:10.1103/physrevd.9.3312 · Cited by 499
Theory of Group Representations and Applications
Streater, R. F. (1978) · Physics Bulletin · doi:10.1088/0031-9112/29/11/030 · Cited by 493
Compact Lie Groups and Their Representations
Želobenko, D. (1973) · Translations of Mathematical Monographs · doi:10.1090/mmono/040 · Cited by 470
Analysis, manifolds and physics
Choquet–Bruhat, Y., Dewitt-Morette, C., & Dillard-Bleik, M. (1977) · Cited by 459
Topology and Geometry for Physicists
Nash, C., Sen, S., & Stachel, J. (1986) · American Journal of Physics · doi:10.1119/1.14570 · Cited by 427
Induced representations of groups and quantum mechanics
Mackey, G. W. (1968) · CERN Document Server (European Organization for Nuclear Research) · Cited by 421
Calculation of gauge couplings and compact circumferences from self-consistent dimensional reduction
Candelas, P., & Weinberg, S. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90001-4 · Cited by 411
Spherical Functions on a Semisimple Lie Group II
Harish-Chandra, H.-C. (1958) · American Journal of Mathematics · doi:10.2307/2372772 · Cited by 410
Harmonic analysis on homogeneous spaces
Wallach, N. R. (1973) · CERN Document Server (European Organization for Nuclear Research) · Cited by 408
Feynman Functional Integrals for Systems of Indistinguishable Particles
Laidlaw, M. G. G., & DeWitt, C. (1971) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.3.1375 · Cited by 389
Spherical Functions on a Semisimple Lie Group, I
Harish-Chandra, H.-C. (1958) · American Journal of Mathematics · doi:10.2307/2372786 · Cited by 386
Applications of the Theory of Morse to Symmetric Spaces
Bott, R., & Samelson, H. (1958) · American Journal of Mathematics · doi:10.2307/2372843 · Cited by 368
Finite temperature and boundary effects in static space-times
Dowker, J. S., & Kennedy, G. (1978) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/11/5/020 · Cited by 351
Topology and Geometry for Physicists
Kibble, T. W. B. (1984) · Physics Bulletin · doi:10.1088/0031-9112/35/2/032 · Cited by 332
Feynman propagator in curved spacetime: A momentum-space representation
Bunch, T. S., & Parker, L. (1979) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.20.2499 · Cited by 326
Schulman, L. S. (1968) · Physical Review · doi:10.1103/physrev.176.1558 · Cited by 317
Higuchi, A. (1987) · Journal of Mathematical Physics · doi:10.1063/1.527513 · Cited by 306
Zur Theorie allgemeiner Zetafunctionen
Epstein, P. (1903) · Mathematische Annalen · doi:10.1007/bf01444309 · Cited by 306
A Brief Introduction to Theta Functions.
Steinhardt, F., & Bellman, R. (1964) · American Mathematical Monthly · doi:10.2307/2311786 · Cited by 305
Regularization, renormalization, and covariant geodesic point separation
Christensen, S. M. (1978) · Physical Review D · doi:10.1103/physrevd.17.946 · Cited by 303
Harmonic Analysis of Spherical Functions on Real Reductive Groups
Gangolli, R., & Varadarajan, V. S. (1988) · Springer eBooks · doi:10.1007/978-3-642-72956-0 · Cited by 302
On the Definition and Approximation of Feynman's Path Integrals
Morette, C. (1951) · Physical Review · doi:10.1103/physrev.81.848 · Cited by 299
Recent Developments in Gravitation
(1979) · Springer eBooks · doi:10.1007/978-1-4613-2955-8 · Cited by 284
Dynamical theory of groups and fields
L.R. (1966) · Nuclear Physics · doi:10.1016/0029-5582(66)90248-3 · Cited by 276
Harmonic Analysis on Homogeneous Spaces
Moore, C. C. (1973) · Proceedings of symposia in pure mathematics · doi:10.1090/pspum/026 · Cited by 258
Some Conjectures for Root Systems
MacDonald, I. G. (1982) · SIAM Journal on Mathematical Analysis · doi:10.1137/0513070 · Cited by 253
General-relativistic quantum field theory: An exactly soluble model
Candelas, P., & Raine, D. J. (1975) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.12.965 · Cited by 236
The index theorem and the heat equation
Gilkey, P. (1974) · Medical Entomology and Zoology · Cited by 227
Path integration in non-relativistic quantum mechanics
DeWitt-Morette, C., Maheshwari, A. N., & Nelson, B. L. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90083-8 · Cited by 218
The geometry and structure of isotropy irreducible homogeneous spaces
Wolf, J. A. (1968) · Acta Mathematica · doi:10.1007/bf02394607 · Cited by 218
Lie Groups and Symmetric Spaces
Campagnolo, C., Fournier-Facio, F., Heuer, N., & Moraschini, M. (2022) · Cambridge University Press eBooks · doi:10.1017/9781009183284.012 · Cited by 215
Ryan, M. P. (1972) · Springer eBooks · doi:10.1007/3-540-05741-2 · Cited by 215
Hermann, R. B., & Biedenharn, L. C. (1967) · Physics Today · doi:10.1063/1.3033996 · Cited by 212
Geometric Quantization in Action
Hurt, N. E. (1983) · Springer eBooks · doi:10.1007/978-94-009-6963-6 · Cited by 193
On root systems and an infinitesimal classification of irreducible symmetric spaces
Araki, S. (1962) · Osaka City University (Osaka City University) · Cited by 172
Eigenvalues and degeneracies for n -dimensional tensor spherical harmonics
Rubin, M. A., & ORDÓÑEZ, C. R. (1984) · Journal of Mathematical Physics · doi:10.1063/1.526034 · Cited by 161
Orthogonal polynomials in two variables
Krall, H. L., & Sheffer, I. M. (1967) · Annali di Matematica Pura ed Applicata (1923 -) · doi:10.1007/bf02412238 · Cited by 158
Homogeneous einstein metrics on spheres and projective spaces
Ziller, W. (1982) · Mathematische Annalen · doi:10.1007/bf01456947 · Cited by 154
Quantum mechanics and field theory on multiply connected and on homogeneous spaces
Dowker, J. S. (1972) · Journal of physics. A, Proceedings of the Physical Society. General · doi:10.1088/0305-4470/5/7/004 · Cited by 152
Koornwinder, T. H. (1974) · Indagationes Mathematicae (Proceedings) · doi:10.1016/1385-7258(74)90013-4 · Cited by 151
Freudenthal, H., & de Vries, H. (1969) · Academic Press eBooks · Cited by 142
Quantum Structure of Space and Time
Bedding, S. P. (1983) · Physics Bulletin · doi:10.1088/0031-9112/34/6/030 · Cited by 131
Quantum mechanics on group space and Huygens' principle
Dowker, J. S. (1971) · Annals of Physics · doi:10.1016/0003-4916(71)90096-0 · Cited by 130
Proof of summed form of proper-time expansion for propagator in curved space-time
Jack, I., & Parker, L. (1985) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.31.2439 · Cited by 128
Orthogonal Polynomials in Two Variables
Suetin, P. K., & Pankratiev, E. V. (2022) · Routledge eBooks · doi:10.1201/9780203744758 · Cited by 123
Vacuum stress tensor in an Einstein universe: Finite-temperature effects
Dowker, J. S., & Critchley, R. (1977) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.15.1484 · Cited by 113
Zur Theorie allgemeiner Zetafunktionen. II
Epstein, P. (1906) · Mathematische Annalen · doi:10.1007/bf01449900 · Cited by 113
Scalar effective Lagrangian in de Sitter space
Dowker, J. S., & Critchley, R. (1976) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.13.224 · Cited by 110
Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces
Gangolli, R. (1968) · Acta Mathematica · doi:10.1007/bf02391912 · Cited by 103
Fundamental Solutions of Invariant Differential Operators on Symmetric Spaces
Helgason, S. (1964) · American Journal of Mathematics · doi:10.2307/2373024 · Cited by 103
Path-integral evaluation of Feynman propagator in curved spacetime
Bekenstein, J. D., & Parker, L. (1981) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.23.2850 · Cited by 100
Symmetric-tensor eigenspectrum of the Laplacian on n-spheres
Rubin, M. A., & ORDÓÑEZ, C. R. (1985) · Journal of Mathematical Physics · doi:10.1063/1.526749 · Cited by 95
The volume of a compact Lie group
MacDonald, I. G. (1980) · Inventiones mathematicae · doi:10.1007/bf01392542 · Cited by 91
Hu, B. L., & O’Connor, D. (1984) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.30.743 · Cited by 80
Group Representations and Special Functions
Wawrzyńczyk, A. (1984) · Springer eBooks · doi:10.1007/978-94-009-6531-7 · Cited by 78
A Generalization of Epstein Zeta Functions
Minakshisundaram, S. (1949) · Canadian Journal of Mathematics · doi:10.4153/cjm-1949-029-3 · Cited by 77
Eigenfunctions on Riemannian Manifolds
Minakshisundaram, S. (1953) · Journal of the Indian Mathematical Society · doi:10.18311/jims/1953/17029 · Cited by 75
When is the 'sum over classical paths' exact?
Dowker, J. S. (1970) · Journal of physics. A, Proceedings of the Physical Society. General · doi:10.1088/0305-4470/3/5/001 · Cited by 73
Scalar waves in the mixmaster universe. II. Particle creation
Hu, B. L. (1974) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.9.3263 · Cited by 71
Spinor fields in an Einstein universe: Finite-temperature effects
Altaie, M. B., & Dowker, J. S. (1978) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.18.3557 · Cited by 70
Finite temperature and vacuum effects in higher dimensions
Dowker, J. S. (1984) · Classical and Quantum Gravity · doi:10.1088/0264-9381/1/4/009 · Cited by 69
Dynamics on the Group Manifold and Path Integral
Marinov, M. S., & Terentyev, M. V. (1979) · Fortschritte der Physik · doi:10.1002/prop.19790271102 · Cited by 69
Gibbons, G. W. (1977) · Physics Letters A · doi:10.1016/0375-9601(77)90026-3 · Cited by 69
Zeta functions and their asymptotic expansions for compact symmetric spaces of rank one
Cahn, R. S., & Wolf, J. A. (1976) · Commentarii Mathematici Helvetici · doi:10.1007/bf02568140 · Cited by 68
Symmetry behavior of the static Taub universe: Effect of curvature anisotropy
Shen, T. C., Hu, B. L., & O’Connor, D. (1985) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.31.2401 · Cited by 65
Lectures on geodesics in Riemannian geometry
Berger, M. (1965) · Cited by 55
Kaluza–Klein theories on bundles with homogeneous fibers. I
Roberto Percacci, A., & Randjbar-Daemi, S. (1983) · Journal of Mathematical Physics · doi:10.1063/1.525753 · Cited by 55
On the fermion mass-spectrum of Kaluza-Klein supergravity
D’Auria, R., & Fré, P. (1984) · Annals of Physics · doi:10.1016/0003-4916(84)90048-4 · Cited by 53
Laplace operators on semisimple Lie groups
Berezin, F. A. (1962) · Translations - American Mathematical Society/Translations · doi:10.1090/trans2/021/08 · Cited by 53
Temperature effects in five-dimensional Kaluza-Klein theory
Rubin, M. A., & Roth, B. D. B. (1983) · Nuclear Physics B · doi:10.1016/0550-3213(83)90203-1 · Cited by 51
Perturbations on the Mixmaster Universe
Hu, B. L., & Regge, T. (1972) · Physical Review Letters · doi:10.1103/physrevlett.29.1616 · Cited by 50
Differential Geometrical Methods in Mathematical Physics II
Bleuler, K., Petry, H. R., & Reetz, A. (1978) · Lecture notes in mathematics · doi:10.1007/bfb0063664 · Cited by 50
The jacobi equation on naturally reductive compact Riemannian homogeneous spaces
Ziller, W. (1977) · Commentarii Mathematici Helvetici · doi:10.1007/bf02567391 · Cited by 45
Die Resolvente von Δ auf symmetrischen Räumen vom nichtkompakten Typ
Lohoué, N., & Rychener, T. (1982) · Commentarii Mathematici Helvetici · doi:10.1007/bf02565869 · Cited by 45
Some remarks on the theory of spherical functions on symmetric Riemannian manifolds
Berezin, F. A., & Gel′fand, I. M. (1962) · Translations - American Mathematical Society/Translations · doi:10.1090/trans2/021/07 · Cited by 43
Aspects of Quantum Field Theory in Curved Space-Time: Effective Action and Energy-Momentum Tensor
Parker, L. (1979) · Springer eBooks · doi:10.1007/978-1-4613-2955-8_6 · Cited by 41
Intertwining operators for solving differential equations, with applications to symmetric spaces
Anderson, A., & Camporesi, R. (1990) · Communications in Mathematical Physics · doi:10.1007/bf02099874 · Cited by 41
Self-citationThe Use of the Proper Time in Quantum Electrodynamics I
Nambu, Y. (1951) · Progress of Theoretical Physics · doi:10.1143/ptp.5.82 · Cited by 40
Matter fields and metric deformations in multidimensional unified theories
Destri, C., Orzalesi, C. A., & Rossi, P. (1983) · Annals of Physics · doi:10.1016/0003-4916(83)90213-0 · Cited by 39
Scalar Waves in the Mixmaster Universe. I. The Helmholtz Equation in a Fixed Background
Hu, B. L. (1973) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.8.1048 · Cited by 34
Invariant volumes of compact groups
Marinov, M. S. (1980) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/13/11/009 · Cited by 33
On Riemannian symmetric spaces of rank one
Chavel, I. (1970) · Advances in Mathematics · doi:10.1016/0001-8708(70)90025-3 · Cited by 29
Casimir energies in M4 ≥N for evenN. Green’s-function and zeta-function techniques
Kantowski, R., & Milton, K. A. (1987) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.36.3712 · Cited by 27
Awada, M. A., & Toms, D. J. (1984) · Nuclear Physics B · doi:10.1016/0550-3213(84)90428-0 · Cited by 24
Gravitational Casimir energy in even dimensions
Myers, E. (1986) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.33.1563 · Cited by 24
The fundamental solution of the heat equation on a compact Lie group
Fegan, H. D. (1983) · Journal of Differential Geometry · doi:10.4310/jdg/1214438176 · Cited by 22
Vacuum stress tensor for a slightly squashed Einstein Universe
Critchley, R. (1981) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/14/8/019 · Cited by 22
Symmetry breaking in an anisotropic space time
Critchley, R., & Dowker, J. S. (1982) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/15/1/024 · Cited by 20
Noyau de diffusion sur les espaces homogènes compacts
Benabdallah, A.-I. (1973) · Bulletin de la Société mathématique de France · doi:10.24033/bsmf.1761 · Cited by 19
Operator method for finding new propagators from old
Anderson, A. (1988) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.37.536 · Cited by 18
Debiard, A., & Gaveau, B. (1987) · Canadian Journal of Mathematics · doi:10.4153/cjm-1987-064-x · Cited by 17
Vacuum energy of M4 ≥M ≥N in even dimensions
Gleiser, M., Jetzer, P., & Rubin, M. A. (1987) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.36.2429 · Cited by 16
(2010) · Series in analysis · doi:10.1142/9789814287753_0004 · Cited by 14
Zeta Functions on the Unitary Sphere
Minakshisundaram, S. (1952) · Canadian Journal of Mathematics · doi:10.4153/cjm-1952-002-4 · Cited by 11
The heat equation and the Weierstrass transform on certain symmetric Riemannian spaces
Eskin, L. D. (1968) · Translations - American Mathematical Society/Translations · doi:10.1090/trans2/075/07 · Cited by 11
Le noyau de la chaleur sur les espaces symetriques U(p,q)/U(p)×U(q)
Anker, J.-P. (1988) · Lecture notes in mathematics · doi:10.1007/bfb0086588 · Cited by 10
On functional integrals in curved spacetime
Gibbons, G. W. (1978) · Lecture notes in mathematics · doi:10.1007/bfb0063687 · Cited by 10
On Bott-Samelson K-cycles associated with symmetric spaces
Araki, S. (1962) · Osaka City University (Osaka City University) · Cited by 9
Dynkin, E. B., & Oniščik, A. L. (1962) · Translations - American Mathematical Society/Translations · doi:10.1090/trans2/021/06 · Cited by 9
Particle Detector Response for Thermal States in Static Space-Times
Ottewill, A. C., & Takagi, S. (1987) · Progress of Theoretical Physics · doi:10.1143/ptp.77.310 · Cited by 5
Kaluza-Klein spectrum on a contorted vacuum
Camporesi, R., Destri, C., Melegari, G., & Orzalesi, C. A. (1985) · Classical and Quantum Gravity · doi:10.1088/0264-9381/2/4/012 · Cited by 4
Self-citationThe Fourier transform on symmetric spaces
Helgason, S. (1985) · French digital mathematics library (Numdam) · Cited by 4
Non-Trivial Topology in Quantum Theory.
Anderson, B. A. (1986) · Cited by 1
Path Integration on Spacetimes with Symmetry
Low, S. G. (1985) · Cited by 1
Research works printed but not linked: 8
- Berezin, 1958, Zonal spherical functions and Laplace operators on some symmetric spaces, Dokl. Akad. Nauk SSSR, 118, 9
- DeWitt Morette, 1969, L'integrale fonctionelle de Feynman. Une introduction, Ann. Inst. Henri Poincaré, 11, 152
- Eskin, 1964, The heat equation on Lie groups, In Memoriam: N.G. Cebotarev, Izdat. Kazan Univ., 113
- Fock, 1937, Die eigenzeit in der klassichen und in der quantenmechanick, Phys. Z. Sowetunion, 12, 404
- Gindikin, 1962, Plancherel measure of Riemannian symmetric spaces of non-positive curvature, Soviet Math. Dokl., 3, 962
- Karpelevich, 1965, Geometry of geodesics and eigenfunctions of the Laplace-Beltrami operator, Trans. Moscow Math. Soc., 14, 51
- 1981, Corrig., 14, 543
- Minakshisundaram, 1949, Zeta functions on the sphere, J. Indian Math. Soc., 13, 41
Cited by
Entanglement Entropy of Black Holes
Solodukhin, S. N. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-8 · Cited by 453
The wave function of a black hole and the dynamical origin of entropy
Barvinsky, A. O., Frolov, V. P., & Zelnikov, A. I. (1995) · Physical Review D · doi:10.1103/physrevd.51.1741 · Cited by 72
Inhomogeneous multidimensional Epstein zeta functions
Kirsten, K. (1991) · Journal of Mathematical Physics · doi:10.1063/1.529045 · Cited by 46
The Casimir effect for a class of hyperbolic (D+1)-dimensional spacetimes
Bytsenko, A. A., & Zerbini, S. (1992) · Classical and Quantum Gravity · doi:10.1088/0264-9381/9/5/017 · Cited by 16
Metadata
- Authors
- Camporesi, R.
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 1990-11
- Volume
- 196
- Issue
- 1-2
- Pages
- 1-134
- ISSN
- 0370-1573
- Cited by
- 257
- References
- 142
- Language
- en
- Licence
- www.elsevier.com/tdm/userlicense/1.0/ (tdm)
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.