Generalized Functions Theory and Applications

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 a...

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Main Author: Kanwal, Ram P.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA Birkhäuser Boston 2004, 2004
Edition:3rd ed. 2004
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Preface to the Third Edition
  • Preface to the Second Edition
  • Preface to the First Edition
  • The Dirac Delta Function and Delta Sequences
  • The Schwartz-Sobolev Theory of Distributions
  • Additional Properties of Distributions
  • Distributions Defined by Divergent Integrals
  • Distributional Derivatives of Functions with Jump Discontinuities
  • Tempered Distributions and the Fourier Transforms
  • Direct Products and Convolutions of Distributions
  • The Laplace Transform
  • Applications to Ordinary Differential Equations
  • Applications to Partial Differential Equations
  • Applications to Boundary Value Problems
  • Applications to Wave Propagation
  • Interplay between Generalized Functions and the Theory of Moments
  • Linear Systems
  • Miscellaneous Topics
  • References
  • Index