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Generalized Functions

Theory and Applications

  • Ram P. Kanwal

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Ram P. Kanwal
    Pages 49-70
  3. Ram P. Kanwal
    Pages 217-227
  4. Ram P. Kanwal
    Pages 312-358
  5. Ram P. Kanwal
    Pages 359-395
  6. Ram P. Kanwal
    Pages 420-433
  7. Ram P. Kanwal
    Pages 434-464
  8. Back Matter
    Pages 465-476

About this book

Introduction

This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applied mathematicians, this work is quite distinct from other books on the subject.

Key new topics and important features:

* Examination of the Poisson Summation Formula and the concepts of differential forms and the delta distribution on wave fronts

* Enhanced presentation of the Schroedinger, Klein–Gordon, Helmholtz, heat and wave equations

* Exposition driven by additional examples and exercises

* Comprehensive bibliography and index

* Prerequisites: advanced calculus, ordinary and partial differential equations

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From the Reviewers:

"Kanwal’s book is a worthy member of this company [Gelfand and Shilov, Semanian, Friedman, Jones, and Barros-Neto]. Its strength lies in the application to classical physics….[it presents] a wealth of applications that cannot be found in any other single source…Kanwal has written a valuable book accessible to first-year graduate students in physics and engineering."

--Ivar Stakgold, Mathematics, University of Delaware

"The advantage of this text is in carefully gathered examples explaining how to use corresponding properties…. Even the standard material connecting with partial and ordinary differential equations is rewritten in modern terminology."

--Zentralblatt

Keywords

Boundary value problem Dirac delta function Fourier transform Integral equation Transformation convolution mathematical physics operator wave equation

Authors and affiliations

  • Ram P. Kanwal
    • 1
  1. 1.Department of MathematicsThe Pennsylvania State UniversityUniversity ParkUSA

Bibliographic information

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