The Mellin Transformation and Fuchsian Type Partial Differential Equations Contributor(s): Szmydt, Z. (Author), Ziemian, Bogdan (Author), Ziemian, B. (Author) |
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ISBN: 0792316835 ISBN-13: 9780792316831 Publisher: Kluwer Academic Publishers
Binding Type: Hardcover Published: March 1992 Click for more in this series: Mathematics and Its Applications (East European Series |
Additional Information |
BISAC Categories: - Mathematics | Differential Equations - Partial |
Dewey: 515.353 |
LCCN: 92004675 |
Series: Mathematics and Its Applications (East European Series |
Physical Information: 0.56" H x 6.14" W x 9.21" L (1.13 lbs) 240 pages |
Descriptions, Reviews, Etc. |
Publisher Description: This volume provides a systematic introduction to the theory of the multidimensional Mellin transformation in a distributional setting. In contrast to the classical texts on the Mellin and Laplace transformations, this work concentrates on the local properties of the Mellin transformations, ie on those properties of the Mellin transforms of distributions u which are preserved under multiplication of u by cut-off functions (of various types). The main part of the book is devoted to the local study of regularity of solutions to linear Fuchsian partial differential operators on a corner, which demonstrates the appearance of non-discrete asymptotic expansions (at the vertex) and of resurgence effects in the spirit of J. Ecalle. |
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