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Generalized Functions and Their Applications

  • R. S. Pathak

Table of contents

  1. Front Matter
    Pages i-ix
  2. F. Brackx, R. Delanghe, F. Sommen, N. Van Acker
    Pages 1-10
  3. R. D. Carmichael, R. S. Pathak, S. Pilipović
    Pages 11-28
  4. R. F. Hoskins, J. Sousa Pinto
    Pages 95-108
  5. Piotr Mikusiński, Ahmed Zayed
    Pages 141-147
  6. Mitsuo Morimoto, Ryoko Wada, Keiko Fujita
    Pages 149-156
  7. Martin Schechter
    Pages 213-219
  8. Back Matter
    Pages 299-306

About this book

Introduction

The International Symposium on Generalized Functions and Their Applications was organized by the Department of Mathematics, Banaras Hindu University, and held December 23-26, 1991, on the occasion of the Platinum Jubilee Celebration of the university. More than a hundred mathematicians from ten countries participated in the deliberations of the symposium. Thirty lectures were delivered on a variety of topics within the area. The contributions to the proceedings of the symposium are, with a few exceptions, expanded versions of the lectures delivered by the invited speakers. The survey papers by Komatsu and Hoskins and Sousa Pinto provide an up-to-date account of the theory of hyperfunctions, ultradistributions and microfunctions, and the nonstandard theory of new generalized functions, respectively; those by Stankovic and Kanwal deal with structures and asymptotics. Choquet-Bruhat's work studies generalized functions on manifold and gives applications to shocks and discrete models. The other contributions relate to contemporary problems and achievements in theory and applications, especially in the theory of partial differential equations, differential geometry, mechanics, mathematical physics, and systems science. The proceedings give a very clear impression of the present state of the art in this field and contain many challenges, ideas, and open problems. The volume is very helpful for a broad spectrum of readers: graduate students to mathematical researchers.

Keywords

Manifold Standard differential equation equation function geometry linear optimization mathematics mechanics operator partial differential equation

Editors and affiliations

  • R. S. Pathak
    • 1
  1. 1.Banaras Hindu UniversityVaranasiIndia

Bibliographic information