A primer on integral equations of the first kind: the problem of deconvolution and unfolding

G. Milton Wing, John D. Zahrt9780898712636, 0898712637

This book is designed to offer applied mathematicians, physicists, chemists, engineers, geophysicists, and other scientists an elementary level explanation of integral equations of the first kind. It maintains a casual, conversational approach. The book emphasizes understanding, while deliberately avoiding special methods of highly limited application.

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Table of contents :
A PRIMER ON INTEGRAL EQUATIONS OF THE FIRST KIND:THE PROBLEM OF DECONVOLUTION AND UNFOLDING……Page 1
Contents……Page 8
Preface……Page 12
CHAPTER 1 An Introduction to the Basic Problem……Page 16
CHAPTER 2 Some Examples……Page 22
CHAPTER 3 A Bit of Functional Analysis……Page 42
CHAPTER 4 Integral Operators with Separable Kernels……Page 56
CHAPTER 5 Integral Operators with General Kernels……Page 66
CHAPTER 6 Some Methods of Resolving Integral Equations of the First Kind……Page 86
CHAPTER 7 Some Important Miscellany……Page 128
CHAPTER 8 Epilogue……Page 134
References……Page 136
Appendix A:The Domain of K(x, y}……Page 140
Appendix B:Remarks about Complex Functions, Vectors, and Operators……Page 142
Appendix C:Modes of Convergence……Page 144
Index……Page 148