Selected papers on analysis, probability, and statistics
著者
書誌事項
Selected papers on analysis, probability, and statistics
(American Mathematical Society translations, ser. 2,
American Mathematical Society, c1994
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注記
Includes bibliographical references
"This is a collection of several papers that originally appeared in the journal Sugaku in Japanese. These translated articles would normally appear in the AMS journal 'Sugaku Expositions'" --Pref
内容説明・目次
内容説明
This book presents papers that originally appeared in the Japanese journal ""Sugaku"". The papers fall into the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrodinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets and their global structure of analytic functions.
目次
Nonlinear partial differential equations and infinite dimensional dynamical systems by H. Matano Langevin equations and causal analysis by Y. Okabe Analytic capacity (a theory of the Szego kernel function) by T. Murai Laplacians on self-similar sets--analysis of fractals by J. Kigami Statistical analysis of mapped point patterns--present condition of theory and application by S. Mase, Y. Ogata, and M. Tanemura Spectra in random media by S. Ozawa The asymptotic distributions of eigenvalues for the Schrodinger operators with magnetic fields by H. Matsumoto Recursive estimation of nonparametric probability density functions by E. Isogai.
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