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Titlebook: Spectral Methods in Infinite-Dimensional Analysis; Y. M. Berezansky,Y. G. Kondratiev Book 1995 Springer Science+Business Media Dordrecht 1

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发表于 2025-3-21 18:25:22 | 显示全部楼层 |阅读模式
书目名称Spectral Methods in Infinite-Dimensional Analysis
编辑Y. M. Berezansky,Y. G. Kondratiev
视频video
丛书名称Mathematical Physics and Applied Mathematics
图书封面Titlebook: Spectral Methods in Infinite-Dimensional Analysis;  Y. M. Berezansky,Y. G. Kondratiev Book 1995 Springer Science+Business Media Dordrecht 1
描述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 cl
出版日期Book 1995
关键词Potential; STATISTICA; Second quantization; distribution; harmonic analysis; quantum field theory; statist
版次1
doihttps://doi.org/10.1007/978-94-011-0509-5
isbn_softcover978-94-010-4227-7
isbn_ebook978-94-011-0509-5
copyrightSpringer Science+Business Media Dordrecht 1995
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Infinite-Dimensional Elliptic Differential operators of the Second Order,hich must be studied. For example, applications to theoretical physics are mainly based on operator problems whose contents have many similar features for different model situations and can be characterized by close connection with spectral theory. An essential place among these problems is occupied
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Infinite-Dimensional Differential Operators in the Models of Quantum Statistical Physics and Field system. In Example 2.2 in Chapter 6, we have shown that the polynomial models in constructive field theory lead us to just a situation of this sort: The interaction is given by potentials defined only as generalized functions.
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Book 1995olitical 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 cl
发表于 2025-3-22 12:33:07 | 显示全部楼层
e 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 cl978-94-010-4227-7978-94-011-0509-5
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ttered lines of metered poetry but also of inscribing their own, ostensibly more accurate and trustworthy, “record” of a poem’s rhythm. This experimental phase of prosodic enquiry, which prized material acoustic rhythms over metrical abstractions, offered a counterpoint to the theories and practices
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Y. M. Berezansky,Y. G. Kondratiev for alienating pupils from the prosodic “products” they spent so much of their time manufacturing: the labor central to their exercises was founded upon a segmentation of linguistic and prosodic units that divorced them from the complete line of verse and any sense of unified metrical or semantic m
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Y. M. Berezansky,Y. G. Kondratievidly successful industrial competitor, and where imperialist Prussia was taking the initiative in foreign policy. The increasingly desperate question of Ireland — more and more of an armed camp — engrossed and exhausted the energies of the English parliament where ‘politics was Ireland’, and the las
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