Contains both the theory and applications of generalized functions with a significant feature being the quantity and variety of applications. New updated edition. DLC: Theory of distribution (Functional analysis)
Author(s): Ram P. Kanwal (Eds.)
Series: Mathematics in Science and Engineering 171
Publisher: Academic Press
Year: 1983
Language: English
Pages: iii-xiii, 1-428
Content:
Edited by
Page iii
Copyright page
Page iv
Dedication
Page v
Preface
Page xiii
1 The Dirac Delta Function and Delta Sequences Original Research Article
Pages 1-19
2 The Schwartz-Sobolev Theory of Distributions Original Research Article
Pages 20-51
3 Additional Properties of Distributions Original Research Article
Pages 52-74
4 Distributions Defined by Divergent Integrals Original Research Article
Pages 75-104
5 Distributional Derivatives of Functions with Jump Discontinuities Original Research Article
Pages 105-136
6 Tempered Distributions and the Fourier Transforms Original Research Article
Pages 137-168
7 Direct Products and Convolutions of Distributions Original Research Article
Pages 169-198
8 The Laplace Transform Original Research Article
Pages 199-210
9 Applications to Ordinary Differential Equations Original Research Article
Pages 211-243
10 Applications to Partial Differential Equations Original Research Article
Pages 244-286
11 Applications to Boundary Value Problems Original Research Article
Pages 287-336
12 Applications to Wave Propagation Original Research Article
Pages 337-346
13 Functions That Have Infinite Singularities at an Interface Original Research Article
Pages 347-359
14 Linear Systems Original Research Article
Pages 360-370
15 Miscellaneous Topics Original Research Article
Pages 371-417
References
Pages 419-421
Index
Pages 423-428
