"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"--
"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"--
Hungarian-born Arthur Erdelyi (1908-77) taught primarily at the University of Edinburgh and from 1949 to 1964 at the California Institute of Technology, where he attained prominence in the American mathematics community.
Inhaltsangabe
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 References Answers to Problems Notations Index
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 References Answers to Problems Notations Index
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