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Mod-01 Lec-20 Infinite Dimensional Linear Vector Spaces

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SPECTRAL THEORY OF SELF-ADJOINT OPERATORS, AND INFINITE-DIMENSIONAL ANALYSIS

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 Later, this analysis was devel oped intensively in Japan, Germany, U. The related problems of infinite-dimensional analysis have been studied in Kiev since , and the theory of generalized functions of infinitely many variables has been in vestigated since However, due to the political system in the U.

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Articles Cited by. Differential Equations and Numerical Mathematics, , Trudy Moskovskogo Matematicheskogo Obshchestva 7, , Ukrainian Mathematical Journal 19 5 , , Articles 1—20 Show more.