| 書(shū)目名稱 | Integration on Infinite-Dimensional Surfaces and Its Applications | | 編輯 | A. V. Uglanov | | 視頻video | http://file.papertrans.cn/469/468887/468887.mp4 | | 叢書(shū)名稱 | Mathematics and Its Applications | | 圖書(shū)封面 |  | | 描述 | It seems hard to believe, but mathematicians were not interested in integration problems on infinite-dimensional nonlinear structures up to 70s of our century. At least the author is not aware of any publication concerning this theme, although as early as 1967 L. Gross mentioned that the analysis on infinite- dimensional manifolds is a field of research with rather rich opportunities in his classical work [2. This prediction was brilliantly confirmed afterwards, but we shall return to this later on. In those days the integration theory in infinite- dimensional linear spaces was essentially developed in the heuristic works of RP. Feynman [1], I. M. Gelfand, A. M. Yaglom [1]). The articles of J. Eells [1], J. Eells and K. D. Elworthy [1], H. -H. Kuo [1], V. Goodman [1], where the contraction of a Gaussian measure on a hypersurface, in particular, was built and the divergence theorem (the Gauss-Ostrogradskii formula) was proved, appeared only in the beginning of the 70s. In this case a Gaussian specificity was essential and it was even pointed out in a later monograph of H. -H. Kuo [3] that the surface measure for the non-Gaussian case construction problem is not simple and has not ye | | 出版日期 | Book 2000 | | 關(guān)鍵詞 | Boundary value problem; Hilbert space; Probability theory; Stochastic processes; Variance; distribution; f | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-9622-0 | | isbn_softcover | 978-90-481-5384-8 | | isbn_ebook | 978-94-015-9622-0 | | copyright | Springer Science+Business Media Dordrecht 2000 |
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