Integral Transformations, Operational Calculus, and Generalized Functions

Integral Transformations, Operational Calculus, and Generalized Functions

by R.G. Buschman


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Product Details

ISBN-13: 9781461285489
Publisher: Springer US
Publication date: 11/26/2013
Series: Mathematics and Its Applications , #377
Edition description: 1996
Pages: 240
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Preface. 1. Laplace Transformations. 2. Mikusinski Operators. 3. Fourier Transformations. 4. Generalized Functions. 5. Other Transformations. References. Appendices: A. The Titchmarsh Theorem. B. Inversion Integrals. C. Interchange of Order of Infinite Processes. D. Definitions and Properties of Some Special Functions. Tables of Transforms: 1. Laplace. 2. Inverse Laplace. 3. Fourier. 4. Fourier Cosine. 5. Fourier Sine. 6. Mellin. 7. Power Series. 8. Finite Fourier. 9. Finite Fourier Cosine. 10. Finite Fourier Sine. 11. Finite Laplace. 12. Two-Dimensional Laplace. 13. Inverse Two-Dimensional Laplace. Index.

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