The DOI matches its Crossref record; 53 of the 53 references it cites were found in a registry or an index.
The Convenient Setting of Global Analysis
Abstract
Introduction Calculus of smooth mappings Calculus of holomorphic and real analytic mappings Partitions of unity Smoothly realcompact spaces Extensions and liftings of mappings Infinite dimensional manifolds Calculus on infinite dimensional manifolds Infinite dimensional differential geometry Manifolds of mappings Further applications References Index.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Perturbation Theory for Linear Operators
Kato, T. (1995) · Classics in Mathematics · doi:10.1007/978-3-642-66282-9 · Cited by 16,290
Singular Integrals and Differentiability Properties of Functions.
Stein, E. M. (1971) · Cited by 10,183
Mathematical Methods of Classical Mechanics
Arnold, V. I. (1989) · Graduate Texts in Mathematics · doi:10.1007/978-1-4757-2063-1 · Cited by 9,116
The Analysis of Linear Partial Differential Operators I
Hörmander, L. (1998) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-3-642-96750-4 · Cited by 5,721
(1988) · Elsevier eBooks · doi:10.1016/c2013-0-11200-7 · Cited by 5,131
Ramanujan, M. S., & Schaefer, H. H. (1967) · The American Mathematical Monthly · doi:10.2307/2316078 · Cited by 3,896
Quantum Theory of Gravity. I. The Canonical Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.160.1113 · Cited by 3,385
Foundations of Modern Analysis
(1969) · Pure and Applied Mathematics · doi:10.1016/s0079-8169(08)x6009-x · Cited by 3,372
The Analysis of Linear Partial Differential Operators III: Pseudo-Differential Operators
Hörmander, L. (2007) · Classics in Mathematics · doi:10.1007/978-3-540-49938-1 · Cited by 2,666
Foundations of Differentiable Manifolds and Lie Groups
Warner, F. W. (1983) · Graduate Texts in Mathematics · doi:10.1007/978-1-4757-1799-0 · Cited by 1,848
Cited by
The Ricci Flow: An Introduction
Chow, B., & Knopf, D. (2004) · Mathematical Surveys and Monographs · doi:10.1090/surv/110 · Cited by 579
Diffeomorphic registration using geodesic shooting and Gauss–Newton optimisation
Ashburner, J., & Friston, K. J. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2010.12.049 · Cited by 503
Metadata
- Authors
- Kriegl, A., & Michor, P.
- Venue
- Mathematical Surveys and Monographs
- Publisher
- American Mathematical Society
- Published
- 1997-09-30
- ISSN
- 0885-4653 (ISSN-L)
- 0076-5376
- 2331-7159
- OpenAlex
- W1602596468
- Cited by
- 1,113
- References
- 53
- FWCI
- 6.58
- Type
- book
- Language
- en
- Open access
- closed
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: The Convenient Setting of Global Analysis. https://app.cochat.ai/papers/10.1090/surv/053
- The paper
- Kriegl, A., & Michor, P. (1997). The Convenient Setting of Global Analysis. Mathematical Surveys and Monographs. https://doi.org/10.1090/surv/053
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.