Spectral Methods in Infinite-Dimensional Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral Methods in Infinite-Dimensional Analysis write by Yu.M. Berezansky. This book was released on 2013-06-29. Spectral Methods in Infinite-Dimensional Analysis available in PDF, EPUB and Kindle. 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.
Spectral methods in infinite-dimensional analysis. 2 (1995)
Spectral methods in infinite-dimensional analysis. 2 (1995) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral methods in infinite-dimensional analysis. 2 (1995) write by I︠U︡riĭ Makarovich Berezanskiĭ. This book was released on 1995. Spectral methods in infinite-dimensional analysis. 2 (1995) available in PDF, EPUB and Kindle.
Spectral methods in infinite-dimensional analysis. 1 (1995)
Spectral methods in infinite-dimensional analysis. 1 (1995) - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spectral methods in infinite-dimensional analysis. 1 (1995) write by I︠U︡riĭ Makarovich Berezanskiĭ. This book was released on 1994. Spectral methods in infinite-dimensional analysis. 1 (1995) available in PDF, EPUB and Kindle.
The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators
The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators write by Volodymyr Koshmanenko. This book was released on 2016-07-08. The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators available in PDF, EPUB and Kindle. This monograph presents the newly developed method of rigged Hilbert spaces as a modern approach in singular perturbation theory. A key notion of this approach is the Lax-Berezansky triple of Hilbert spaces embedded one into another, which specifies the well-known Gelfand topological triple. All kinds of singular interactions described by potentials supported on small sets (like the Dirac δ-potentials, fractals, singular measures, high degree super-singular expressions) admit a rigorous treatment only in terms of the equipped spaces and their scales. The main idea of the method is to use singular perturbations to change inner products in the starting rigged space, and the construction of the perturbed operator by the Berezansky canonical isomorphism (which connects the positive and negative spaces from a new rigged triplet). The approach combines three powerful tools of functional analysis based on the Birman-Krein-Vishik theory of self-adjoint extensions of symmetric operators, the theory of singular quadratic forms, and the theory of rigged Hilbert spaces. The book will appeal to researchers in mathematics and mathematical physics studying the scales of densely embedded Hilbert spaces, the singular perturbations phenomenon, and singular interaction problems.
Stochastic and Infinite Dimensional Analysis
Stochastic and Infinite Dimensional Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic and Infinite Dimensional Analysis write by Christopher C. Bernido. This book was released on 2016-08-10. Stochastic and Infinite Dimensional Analysis available in PDF, EPUB and Kindle. This volume presents a collection of papers covering applications from a wide range of systems with infinitely many degrees of freedom studied using techniques from stochastic and infinite dimensional analysis, e.g. Feynman path integrals, the statistical mechanics of polymer chains, complex networks, and quantum field theory. Systems of infinitely many degrees of freedom create their particular mathematical challenges which have been addressed by different mathematical theories, namely in the theories of stochastic processes, Malliavin calculus, and especially white noise analysis. These proceedings are inspired by a conference held on the occasion of Prof. Ludwig Streit’s 75th birthday and celebrate his pioneering and ongoing work in these fields.
