Operational Calculus and Generalized Functions

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  • Edition: Reprint
  • Format: Paperback
  • Copyright: 2013-07-17
  • Publisher: Dover Publications

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Based on a math course for advanced undergraduates and graduate students at Cal Tech, this brief monograph requires a background in advanced calculus. Topics include elementary and convergence theories of convolution quotients, differential equations involving operator functions, exponential functions of operators, and problems in partial differential equations. Includes solutions. 1962 edition.

Table of Contents

1. Introduction
2. The Algebra of Convolution Quotients
3. Applications to Differential and Integral Equations
4. Convergence of Convolution Quotients. Operator Functions
5. Differential Equations for Operator Functions. Exponential Functions
6. The One-Dimensional Wave Equation
7. The One-Dimensional Diffusion Equation
Answers to Problems

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