eBook ISBN: | 978-1-4704-3372-7 |
Product Code: | TRANS2/161.E |
List Price: | $165.00 |
MAA Member Price: | $148.50 |
AMS Member Price: | $132.00 |
eBook ISBN: | 978-1-4704-3372-7 |
Product Code: | TRANS2/161.E |
List Price: | $165.00 |
MAA Member Price: | $148.50 |
AMS Member Price: | $132.00 |
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Book DetailsAmerican Mathematical Society Translations - Series 2Volume: 161; 1994; 151 ppMSC: Primary 30; 31; 35; 42; 47; 60; 62
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 Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets and the global structure of analytic functions.
ReadershipResearch mathematicians.
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Table of Contents
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Chapters
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Hiroshi Matano — Nonlinear partial differential equations and infinite-dimensional dynamical systems
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Yasunori Okabe — Langevin equations and causal analysis
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Takafumi Murai — Analytic capacity (a theory of the Szegö kernel function)
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Jun Kigami — Laplacians on self-similar sets—analysis on fractals
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Shigeru Mase, Yoshihiko Ogata and Masami Tanemura — Statistical analysis of mapped point patterns—present condition of theory and application
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Shin Ozawa — Spectra in random media
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Hiroyuki Matsumoto — The asymptotic distributions of eigenvalues for the Schrödinger operators with magnetic fields
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Eiichi Isogai — Recursive estimation of nonparametric probability density functions
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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 Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets and the global structure of analytic functions.
Research mathematicians.
-
Chapters
-
Hiroshi Matano — Nonlinear partial differential equations and infinite-dimensional dynamical systems
-
Yasunori Okabe — Langevin equations and causal analysis
-
Takafumi Murai — Analytic capacity (a theory of the Szegö kernel function)
-
Jun Kigami — Laplacians on self-similar sets—analysis on fractals
-
Shigeru Mase, Yoshihiko Ogata and Masami Tanemura — Statistical analysis of mapped point patterns—present condition of theory and application
-
Shin Ozawa — Spectra in random media
-
Hiroyuki Matsumoto — The asymptotic distributions of eigenvalues for the Schrödinger operators with magnetic fields
-
Eiichi Isogai — Recursive estimation of nonparametric probability density functions