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Reproducing Kernels and their Applications

  • Saburou Saitoh
  • Daniel Alpay
  • Joseph A. Ball
  • Takeo Ohsawa

Part of the International Society for Analysis, Applications and Computation book series (ISAA, volume 3)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Erwin A. K. Brüning
    Pages 43-51
  3. Peter A. McCoy
    Pages 133-140
  4. Saburou Saitoh, Masahiro Yamamoto
    Pages 149-163
  5. Sechiko Takahashi
    Pages 189-212
  6. Back Matter
    Pages 235-235

About this book

Introduction

The First International Congress of the International Society for Analysis, its Applications and Computations (ISAAC'97) was held at the University of Delaware from 3 to 7 June 1997. As specified in the invitation of the President Professor Robert P. Gilbert of the ISAAC, we organized the session on Reproducing Kerneis and Their Applications. In our session, we presented 24 engaging talks on topics of current interest to the research community. As suggested and organized by Professor Gilbert, we hereby publish its Proceedings. Rather than restricting the papers to Congress participants, we asked the Ieading mathematicians in the field of the theory of reproducing kern eIs to submit papers. However, due to time restrietions and a compulsion to limit the Proceedings a reasonable size, we were unable to obtain a comprehensive treatment of the theory of reproducing kernels. Nevertheless, we hope this Proceedings of the First International Conference on reproducing kerneis will become a significant reference volume. Indeed, we believe that the theory of reproducing kernels will stand out as a fundamental and beautiful contribution in mathematical sciences with a broad array of applications to other areas of mathematics and science. We would like to thank Professor Robert Gilbert for his substantial contri­ bu tions to the Congress and to our Proceedings. We also express our sincere thanks to the staff of the University of Delaware for their manifold cooperation in organizing the Congress.

Keywords

Factor Hilbert space Pseudoconvexity Volume behavior field form functions interpolation kernel operator schrödinger operator system transformation university

Editors and affiliations

  • Saburou Saitoh
    • 1
  • Daniel Alpay
    • 2
  • Joseph A. Ball
    • 3
  • Takeo Ohsawa
    • 4
  1. 1.Gunma UniversityJapan
  2. 2.Ben-Gurion UniversityIsrael
  3. 3.Virginia TechUSA
  4. 4.Nagoya UniversityJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-2987-0
  • Copyright Information Springer Science+Business Media Dordrecht 1999
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-4809-0
  • Online ISBN 978-1-4757-2987-0
  • Series Print ISSN 1388-4271
  • Buy this book on publisher's site