Overview

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.

Full Product Details

Author:   S. Saitoh ,  N. Hayashi ,  M. Yamamoto
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2001
Volume:   9
Dimensions:   Width: 15.50cm , Height: 1.50cm , Length: 23.50cm
Weight:   0.456kg
ISBN:  

9781441948540

ISBN 10:   1441948546
Pages:   288
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

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.

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