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Analytic Extension Formulas and their Applications

Analytic Extension Formulas and their Applications
Catalogue Information
Field name Details
Dewey Class 515.9
Title Analytic Extension Formulas and their Applications ([EBook] /) / edited by Saburou Saitoh, Nakao Hayashi, Masahiro Yamamoto.
Added Personal Name Saitoh, Saburou editor.
Hayashi, Nakao editor.
Yamamoto, Masahiro editor.
Other name(s) SpringerLink (Online service)
Publication Boston, MA : : Springer US : : Imprint: Springer, , 2001.
Physical Details VIII, 288 p. : online resource.
Series International Society for Analysis, Applications, and Computation 1388-4271 ; ; 9
ISBN 9781475732986
Summary Note 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.:
Contents note 1. Extending holomorphic functions from subvarieties -- 2. Representations of analytic functions on typical domains in terms of local values and truncation error estimates -- 3. Uniqueness in determining damping coefficients in hyperbolic equations -- 4. Analytic continuation of Cauchy and exponential transforms -- 5. Analytic function spaces and their applications to nonlinear evolution equations -- 6. A sampling principle associated with Saitoh’s fundamental theory of linear transformations -- 7. The enclosure method and its applications -- 8. On analytic properties of a multiple L-function -- 9. Multi-dimensional inverse scattering theory -- 10. Holomorphic spaces related to orthogonal polynomials and analytic continuation of functions -- 11. Extension and division on complex manifolds -- 12. Analytic extension formulas, integral transforms and reproducing kernels -- 13. Analytic continuation beyond the ideal boundary -- 14. Justification of a formal derivation of the Euler-Maclaurin summation formula -- 15. Extension of Löwner-Heinz inequality via analytic continuation -- 16. The Calogero-Moser model, the Calogero model and analytic extension.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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