Spectral Methods in Infinite Dimensional Analysis is popular PDF and ePub book, written by Yu.M. Berezansky in 2013-06-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Spectral Methods in Infinite Dimensional Analysis can be Read Online from any device for your convenience.
Spectral Methods in Infinite Dimensional Analysis Book PDF Summary
The Russian edition of this book appeared 5 years ago. Since that time, many results have been improved upon and new approaches to the problems investigated in the book have appeared. But the greatest surprise for us was to discover that there exists a large group of mathematicians working in the area of the so-called White Noise Analysis which is closely connected with the essential part of our book, namely, with the theory of generalized functions of infinitely many variables. The first papers dealing with White Noise Analysis were written by T. Hida in Japan in 1975. Later, this analysis was devel oped intensively in Japan, Germany, U.S.A., Taipei, and in other places. The related problems of infinite-dimensional analysis have been studied in Kiev since 1967, and the theory of generalized functions of infinitely many variables has been in vestigated since 1973. However, due to the political system in the U.S.S.R., contact be tween Ukrainian and foreign mathematicians was impossible for a long period of time. This is why, to our great regret, only at the end of 1988 did one of the authors meet L. Streit who told him about the existence of White Noise Analysis. And it become clear that many results in these two theories coincide and that, in fact, there exists a single theory and not two distinct ones.
Detail Book of Spectral Methods in Infinite Dimensional Analysis PDF
- Author : Yu.M. Berezansky
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401105095
- Genre : Mathematics
- Total Page : 983 pages
- Language : English
- PDF File Size : 9,5 Mb
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