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Generalized Functions, Convergence Structures, and Their Applications

  • Bogoljub Stanković
  • Endre Pap
  • Stevan Pilipović
  • Vasilij S. Vladimirov

Table of contents

  1. Front Matter
    Pages i-xi
  2. Plenary Lectures

  3. Generalized Functions

    1. Front Matter
      Pages 97-97
    2. Richard D. Carmichael
      Pages 131-138
    3. Danica Nikolić-Despotović, Stevan Pilipović
      Pages 139-146
    4. A. N. Goyal, V. K. Chaturvedi
      Pages 157-170
    5. J. de Graaf, A. F. M. ter Elst
      Pages 171-177
    6. A. Kamiński, J. Uryga
      Pages 187-196
    7. E. L. Koh, E. Y. Deeba, M. A. Ali
      Pages 219-225
    8. Eligiusz Mieloszyk
      Pages 235-243
    9. Michael Oberguggenberger
      Pages 257-266
    10. J. W. de Roever
      Pages 297-304
    11. Arpad Takači
      Pages 317-325
    12. Miloš Tomić
      Pages 341-348
    13. Ryszard Wawak
      Pages 359-364
  4. Convergence Structures

    1. Front Matter
      Pages 365-365
    2. Piotr Antosik
      Pages 367-374
    3. R. Beattie, H.-P. Butzmann
      Pages 375-381
    4. Wolfgang Filter
      Pages 383-392
    5. Isidore Fleischer
      Pages 393-398
    6. D. C. Kent, G. D. Richardson
      Pages 409-414
    7. Jan Kucera
      Pages 415-418
    8. Endre Pap
      Pages 419-423
  5. Open Problems

    1. Front Matter
      Pages 433-433

About this book

Introduction

This Proceedings consists of a collection of papers presented at the International Conference "Generalized functions, convergence structures and their applications" held from June 23-27, 1987 in Dubrovnik, Yugoslavia (GFCA-87): 71 participants from 21 countr~es from allover the world took part in the Conference. Proceedings reflects the work of the Conference. Plenary lectures of J. Burzyk, J. F. Colombeau, W. Gahler, H. Keiter, H. Komatsu, B. Stankovic, H. G. Tillman, V. S. Vladimirov provide an up-to-date account of the cur­ rent state of the subject. All these lectures, except H. G. Tillman's, are published in this volume. The published communications give the contemporary problems and achievements in the theory of generalized functions, in the theory of convergence structures and in their applications, specially in the theory of partial differential equations and in the mathematical physics. New approaches to the theory of generalized functions are presented, moti­ vated by concrete problems of applications. The presence of articles of experts in mathematical physics contributed to this aim. At the end of the volume one can find presented open problems which also point to further course of development in the theory of generalized functions and convergence structures. We are very grateful to Mr. Milan Manojlovic who typed these Proce­ edings with extreme skill and diligence and with inexhaustible patience.

Keywords

Derivative algebra calculus differential equation non-standard analysis

Editors and affiliations

  • Bogoljub Stanković
    • 1
  • Endre Pap
    • 1
  • Stevan Pilipović
    • 1
  • Vasilij S. Vladimirov
    • 2
  1. 1.Institute of MathematicsNovi SadYugoslavia
  2. 2.Steklov Institute of MathematicsMoscowUSSR

Bibliographic information