Analytic Extension Formulas and their Applications

  • Saburou Saitoh
  • Nakao Hayashi
  • Masahiro Yamamoto

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

Table of contents

  1. Front Matter
    Pages i-vii
  2. A. L. Bukhgeim, J. Cheng, V. Isakov, M. Yamamoto
    Pages 27-46
  3. Björn Gustafsson, Mihai Putinar
    Pages 47-57
  4. Masaru Ikehata
    Pages 87-103
  5. Hideaki Ishikawa
    Pages 105-122
  6. Hiroshi Isozaki
    Pages 123-167
  7. Takeo Ohsawa
    Pages 189-206
  8. Back Matter
    Pages 287-287

About this book

Introduction

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.

Keywords

Complex analysis Operator theory Riemann surfaces analytic function hyperbolic equation integral transform partial differential equation scattering theory

Editors and affiliations

  • Saburou Saitoh
    • 1
  • Nakao Hayashi
    • 2
  • Masahiro Yamamoto
    • 3
  1. 1.Gunma UniversityJapan
  2. 2.Science University of TokyoJapan
  3. 3.University of TokyoJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3298-6
  • Copyright Information Springer-Verlag US 2001
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4854-0
  • Online ISBN 978-1-4757-3298-6
  • Series Print ISSN 1388-4271
  • About this book