Distribution Theory And Applications

Autor: Abdellah El Kinani, Mohamed Oudadess

Jazyk:

Väzba: Pevná

Vydavateľ: World Scientific Publishing Co Pte Ltd

Dostupnosť: Skladom u dodávateľa

Odosielame za 10-13 dní

55.63 €

This book is an introductory course to the very important theory of distributions, as well as its ap...

Informácie o knihe

Autor

Abdellah El Kinani, Mohamed Oudadess

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2010

Stránok

220

EAN

9789814304917

ISBN

9814304913

Enbook ID

05070129

Vydavateľ

World Scientific Publishing Co Pte Ltd

Hmotnosť

524

Rozmery

156 x 233 x 19

Kompletný popis

This book is an introductory course to the very important theory of distributions, as well as its applications in the resolution of partial differential equations (PDEs). It begins with a chapter of general interest, on the fundamental spaces (or test function spaces). The book advances and concludes with a chapter on Sobolev spaces, which are known to be very important in the resolution of PDEs. The very basic properties of distributions are examined in detail. Several formal methods have been first used, without rigorous justifications (Dirac function, principal value of Cauchy, finite parts of Hadamard). They find their natural frame in distribution theory. It is the same for Laplace transformation which is a fundamental tool in symbolic calculations. A detailed treatment is given to the convolution product for it is a central theme in distribution theory. Another very important instrument, covered in several chapters, is the Fourier transformation which is among the most fundamental tools in different mathematical disciplines, and also in physics. Convolution algebras, which are sufficient for the treatment of classical PDEs, are used in various applications. The general frame for the resolution of PDEs is the theory of kernels - the first elements of which are sufficient to show the practicality of distribution theory in applications. Comments are provided to clarify the settings and sustain calculations. This book may be used by mathematicians, physicists, engineers and graduate students.

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Distribution Theory And Applications

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