0
Your cart

Your cart is empty

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis

Buy Now

Generalized Functions, Volume 2 - Spaces of Fundamental and Generalized Functions (Hardcover) Loot Price: R1,806
Discovery Miles 18 060
Generalized Functions, Volume 2 - Spaces of Fundamental and Generalized Functions (Hardcover): I.M. Gel'fand, G. E. Shilov

Generalized Functions, Volume 2 - Spaces of Fundamental and Generalized Functions (Hardcover)

I.M. Gel'fand, G. E. Shilov

Series: AMS Chelsea Publishing

 (sign in to rate)
Loot Price R1,806 Discovery Miles 18 060 | Repayment Terms: R169 pm x 12*

Bookmark and Share

Expected to ship within 12 - 17 working days

The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gelfand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. Volume 2 is devoted to detailed study of generalized functions as linear functionals on appropriate spaces of smooth test functions. In Chapter 1, the authors introduce and study countable-normed linear topological spaces, laying out a general theoretical foundation for the analysis of spaces of generalized functions. The two most important classes of spaces of test functions are spaces of compactly supported functions and Schwartz spaces of rapidly decreasing functions. In Chapters 2 and 3 of the book, the authors transfer many results presented in Volume 1 to generalized functions corresponding to these more general spaces. Finally, Chapter 4 is devoted to the study of the Fourier transform; in particular, it includes appropriate versions of the Paley-Wiener theorem.

General

Imprint: American Mathematical Society
Country of origin: United States
Series: AMS Chelsea Publishing
Release date: February 2016
Authors: I.M. Gel'fand • G. E. Shilov
Dimensions: 254 x 178 x 21mm (L x W x T)
Format: Hardcover
Pages: 261
ISBN-13: 978-1-4704-2659-0
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
LSN: 1-4704-2659-5
Barcode: 9781470426590

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!

Partners