The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The spectral function of an elliptic operator
Open accessAbstract
In this paper we shall obtain the best possible estimates for the remainder term in the asymptotic formula for the spectral function of an arbitrary elliptic (pseudo-)differential operator. This is achieved by means of a complete description of the singularities of the Fourier transform of the spectral function for low frequencies.
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Citations
Cites
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
Cited by
Hörmander, L. (1971) · Acta Mathematica · doi:10.1007/bf02392052 · Cited by 2,306
Self-citationOscillatory integrals, lagrange immersions and unfolding of singularities
Duistermaat, J. J. (1974) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.3160270205 · Cited by 457
Balazs, N. L., & Voros, A. (1986) · Physics Reports · doi:10.1016/0370-1573(86)90159-6 · Cited by 414
Representations of the fractional d’Alembertian and initial conditions in fractional dynamics
Calcagni, G., & Nardelli, G. (2025) · Chaos, Solitons & Fractals · doi:10.1016/j.chaos.2025.117401 · Cited by 7
Metadata
- Authors
- Hörmander, L.
- Venue
- Acta Mathematica
- Publisher
- International Press of Boston
- Published
- 1968
- Volume
- 121
- Issue
- 0
- Pages
- 193-218
- ISSN
- 0001-5962 (ISSN-L)
- OpenAlex
- W2045688818
- Cited by
- 837
- References
- 1
- FWCI
- 5.11
- Type
- journal article
- Language
- en
- Open access
- bronze
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