Buch, Englisch, Band 12/1-2, 1010 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1885 g
Buch, Englisch, Band 12/1-2, 1010 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 1885 g
Reihe: Mathematical Physics and Applied Mathematics
ISBN: 978-0-7923-2849-0
Verlag: Springer Netherlands
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.
Zielgruppe
Research
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Naturwissenschaften Physik Physik Allgemein Experimentalphysik
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Naturwissenschaften Physik Quantenphysik Teilchenphysik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
Weitere Infos & Material
1. Rigged Spaces.- 2. Generalized Functions of Infinitely Many Variables. Gaussian Measures.- 3. Spectral Theorem.- 4. Representations by Commuting Operators.- 5. Application of the Theory of Expansions to Harmonic Analysis.- 6. Infinite-Dimensional Elliptic Differential Operators of the Second Order.- 7. Infinite-Dimensional Differential Operators in the Models of Quantum Statistical Physics and Field Theory.- Bibliographical Notes.- References.- Subject Index of Volume 1.- List of Notations of Volume 1.- of Volume 2.- Bibliographical Notes.- References.- Subject Index of Volume 2.- List of Notations of Volume 2.- of Volume 1.
