Wow! eBook
Functional Algebra and Hypercalculus in Infinite Dimensions: Hyperintegrals, Hyperfunctionals and Hyperderivatives
Author(s): Mark Burgin (Author)
- Publisher: Nova Science Pub Inc
- Publication Date: October 1, 2017
- Language: English
- Print length: 471 pages
- ISBN-10: 1536124419
- ISBN-13: 9781536124415
Book Description
The theory of hypernumbers and extrafunctions is further development in distribution theory inspired by contemporary physics and influenced by problems in mathematical physics. It makes more functions differentiable and provides new kinds of derivatives and hyperderivatives aimed at solving more differential and operator equations than ever before possible. In the book, extrafunctions are extended to hyperfunctionals and hyperoperators in infinite-dimensional vector spaces. Due to its development, many problems in contemporary physics, as well as in modern linear and nonlinear analysis have an infinite-dimensional nature, and the infinite-dimensional theory of extrafunctions, hyperfunctionals and hyperoperators provides new tools for solving many of these problems. The book describes new mathematical structures such as hyperderivatives and hyperintegrals of real and complex functions, hyperprobability and hyperexpectation of random processes and some others, essentially increasing powe
