Generalized Functions, Convergence Structures, and Their Applications

Editors: Stankovic, Bogoljub (Ed.)

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About this book

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.

Table of contents (45 chapters)

Table of contents (45 chapters)
  • Nonharmonic Solutions of the Laplace Equation

    Burzyk, Jozef

    Pages 3-11

  • Generalized Functions; Multiplication of Distributions; Applications to Elasticity, Elastoplasticity, Fluid Dynamics and Acoustics

    Colombeau, J. F.

    Pages 13-27

  • Monads and Convergence

    Gähler, Werner

    Pages 29-46

  • Simple Applications of Generalized Functions in Theoretical Physics: The Case of Many–Body Perturbation Expansions

    Keiter, H. F. G.

    Pages 47-55

  • Laplace Transforms of Hyperfunctions: Another Foundation of the Heaviside Operational Calculus

    Komatsu, Hikosaburo

    Pages 57-70

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4613-1055-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-0-306-43008-4
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4612-8312-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Generalized Functions, Convergence Structures, and Their Applications
Editors
  • Bogoljub Stankovic
Copyright
1988
Publisher
Springer US
Copyright Holder
Plenum Press, New York
eBook ISBN
978-1-4613-1055-6
DOI
10.1007/978-1-4613-1055-6
Hardcover ISBN
978-0-306-43008-4
Softcover ISBN
978-1-4612-8312-6
Edition Number
1
Number of Pages
464
Topics