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Analytic Extension Formulas and their Applications

  • Book
  • © 2001

Overview

Editors:
  1. Saburou Saitoh

    1. Gunma University, Japan

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  2. Nakao Hayashi

    1. Science University of Tokyo, Japan

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    You can also search for this editor in PubMed   Google Scholar

  3. Masahiro Yamamoto

    1. University of Tokyo, Japan

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: International Society for Analysis, Applications and Computation (ISAA, volume 9)

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Table of contents (16 chapters)

  1. Front Matter

    Pages i-vii
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  2. Extending Holomorphic Functions from Subvarieties

    • Kenzō Adachi
    Pages 1-14

  3. Representations of Analytic Functions on Typical Domains in Terms of Local Values and Truncation Error Estimates

    • K. Amano, M. Asaduzzaman, T. Ooura, S. Saitoh
    Pages 15-25

  4. Uniqueness in Determining Damping Coefficients in Hyperbolic Equations

    • A. L. Bukhgeim, J. Cheng, V. Isakov, M. Yamamoto
    Pages 27-46

  5. Analytic Continuation of Cauchy and Exponential Transforms

    • Björn Gustafsson, Mihai Putinar
    Pages 47-57

  6. Analytic Function Spaces and their Applications to Nonlinear Evolution Equations

    • Nakao Hayashi
    Pages 59-72

  7. A Sampling Principle Associated with Saitoh’s Fundamental Theory of Linear Transformations

    • J. R. Higgins
    Pages 73-86

  8. The Enclosure Method and its Applications

    • Masaru Ikehata
    Pages 87-103

  9. On Analytic Properties of a Multiple L-Function

    • Hideaki Ishikawa
    Pages 105-122

  10. Multi-dimensional Inverse Scattering Theory

    • Hiroshi Isozaki
    Pages 123-167

  11. Holomorphic Spaces Related to Orthogonal Polynomials and Analytic Continuation of Functions

    • Dmitri Karp
    Pages 169-187

  12. Extension and Division on Complex Manifolds

    • Takeo Ohsawa
    Pages 189-206

  13. Analytic Extension Formulas, Integral Transforms and Reproducing Kernels

    • Saburou Saitoh
    Pages 207-232

  14. Analytic Continuation beyond the Ideal Boundary

    • M. Shiba
    Pages 233-250

  15. Justification of a Formal Derivation of the Euler-Maclaurin Summation Formula

    • Masaaki Sugihara
    Pages 251-261

  16. Extension of Löwner-Heinz Inequality Via Analytic Continuation

    • Mitsuru Uchiyama
    Pages 263-270

  17. The Calogero-Moser Model, the Calogero Model and Analytic Extension

    • Shuji Watanabe
    Pages 271-285

  18. Back Matter

    Pages 287-287
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Keywords

About this book

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.

Editors and Affiliations

  • Gunma University, Japan

    Saburou Saitoh

  • Science University of Tokyo, Japan

    Nakao Hayashi

  • University of Tokyo, Japan

    Masahiro Yamamoto

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