Distributions and the Boundary Values of Analytic Functions
eBook - PDF

Distributions and the Boundary Values of Analytic Functions

  1. 130 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Distributions and the Boundary Values of Analytic Functions

About this book

Distributions and the Boundary Values of Analytic Functions focuses on the tools and techniques of distribution theory and the distributional boundary behavior of analytic functions and their applications. The publication first offers information on distributions, including spaces of testing functions, distributions of finite order, convolution and regularization, and testing functions of rapid decay and distributions of slow growth. The text then examines Laplace transform, as well as Laplace transforms of distributions with arbitrary support. The manuscript ponders on distributional boundary values of analytic functions, including causal and passive operators, analytic continuation and uniqueness, boundary value theorems and generalized Hilbert transforms, and representation theorems for half-plane holomorphic functions with S' boundary behavior. The publication is a valuable source of data for researchers interested in distributions and the boundary values of analytic functions.

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Yes, you can access Distributions and the Boundary Values of Analytic Functions by E. J. Beltrami,M. R. Wohlers in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Front Cover
  2. Distributions and the Boundary Values of Analytic Functions
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. Foreword
  7. Preface
  8. CHAPTER I. Distributions
  9. CHAPTER II. The Laplace Transform
  10. CHAPTER III. Distributional BoundaryValues of Analytic Functions
  11. APPENDIX I: Representation of Positive-Real Matrices
  12. APPENDIX II: Supplementary Remarks
  13. Bibliography
  14. INDEX