Chapter 2 presents a systematic treatment of the Mellin transform in several dimensions. Chapter 3 is devoted to Fuchsian-type singular differential equations. While aimed at researchers and graduate students interested in differential equations and integral transforms, this book can also be recommended as a graduate text for students of mathematics and engineering.
Hardback
Publication Date: 31/03/1992
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. The book constitutes a part of a program to use the Mellin transformation as a link between the theory of second micro-localization, resurgence theory and the theory of the generalized Borel transformation. Chapter 1 contains the basic theorems and definitions of the theory of distributions and Fourier transformations which are used in the succeeding chapters. This material includes proofs which are partially transformed into exercises with hints.
Chapter 2 presents a systematic treatment of the Mellin transform in several dimensions. Chapter 3 is devoted to Fuchsian-type singular differential equations. While aimed at researchers and graduate students interested in differential equations and integral transforms, this book can also be recommended as a graduate text for students of mathematics and engineering.
Chapter 2 presents a systematic treatment of the Mellin transform in several dimensions. Chapter 3 is devoted to Fuchsian-type singular differential equations. While aimed at researchers and graduate students interested in differential equations and integral transforms, this book can also be recommended as a graduate text for students of mathematics and engineering.
- ISBN:
- 9780792316831
- 9780792316831
- Category:
- Differential calculus & equations
- Format:
- Hardback
- Publication Date:
- 31-03-1992
- Publisher:
- Kluwer Academic Publishers
- Country of origin:
- United States
- Pages:
- 240
- Dimensions (mm):
- 234x156x16mm
- Weight:
- 0.52kg
Click 'Notify Me' to get an email alert when this item becomes available
Great!
Click on Save to My Library / Lists
Click on Save to My Library / Lists
Select the List you'd like to categorise as, or add your own
Here you can mark if you have read this book, reading it or want to read
Awesome! You added your first item into your Library
Great! The fun begins.
Click on My Library / My Lists and I will take you there
Click on My Library / My Lists and I will take you there
Reviews
Be the first to review The Mellin Transformation and Fuchsian Type Partial Differential Equations.
Share This Book: