Analytic extension formulas and their applications
Author(s)
Bibliographic Information
Analytic extension formulas and their applications
（International Society for Analysis, Applications, and Computation, v. 9）
Kluwer Academic, c2001
Available at / 14 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P||Fukuoka||1999.801022785
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC21:510/SA282070534781
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Includes bibliographical references
Description and Table of Contents
Description
Analytic Extension is a mysteriously beautiful property of analytic functions. With this point of view in mind the related survey papers were gathered from various fields in analysis such as integral transforms, reproducing kernels, operator inequalities, Cauchy transform, partial differential equations, inverse problems, Riemann surfaces, Euler-Maclaurin summation formulas, several complex variables, scattering theory, sampling theory, and analytic number theory, to name a few.
Audience: Researchers and graduate students in complex analysis, partial differential equations, analytic number theory, operator theory and inverse problems.
Table of Contents
- Preface. 1. Extending holomorphic functions from subvarieties
- K. Adachi. 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates
- K. Amano, et al. 3. Uniqueness in determining damping coefficients in hyperbolic equations
- A.L. Bukhgeim, et al. 4. Analytic continuation of Cauchy and exponential transforms
- B. Gustafsson, M. Putinar. 5. Analytic function spaces and their applications to nonlinear evolution equations
- N. Hayashi. 6. A sampling principle associated with Saitoh's fundamental theory of linear transformations
- J.R. Higgins. 7. The enclosure method and its applications
- M. Ikehata. 8. On analytic properties of a multiple L-function
- H. Ishikawa. 9. Multi-dimensional inverse scattering theory
- H. Isozaki. 10. Holomorphic spaces related to orthogonal polynomials and analytic continuation of functions
- D. Karp. 11. Extension and division on complex manifolds
- T. Ohsawa. 12. Analytic extension formulas, integral transforms and reproducing kernels
- S. Saitoh. 13. Analytic continuation beyond the ideal boundary
- M. Shiba. 14. Justification of a formal derivation of the Euler-Maclaurin summation formula
- M. Sugihara. 15. Extension of Loewner-Heinz inequality via analytic continuation
- M. Uchiyama. 16. The Calogero-Moser model, the Calogero model and analytic extension
- S. Watanabe.
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