Positive Harmonic Functions and Diffusion 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Pinsky, Ross G. 作者

譯者

1995-4 出版日期

492 頁數

$ 248.60 價格

叢書系列

9780521470148 圖書編碼

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發表於2024-11-08

Positive Harmonic Functions and Diffusion 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Positive Harmonic Functions and Diffusion 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Positive Harmonic Functions and Diffusion 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Positive Harmonic Functions and Diffusion 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Positive Harmonic Functions and Diffusion 在線電子書圖書描述

In this book, Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic operators, using an integrated probabilistic and analytic approach. The book begins with a treatment of the construction and basic properties of diffusion processes. This theory then serves as a vehicle for studying positive harmonic funtions. Starting with a rigorous treatment of the spectral theory of elliptic operators with nice coefficients on smooth, bounded domains, the author then develops the theory of the generalized principal eigenvalue, and the related criticality theory for elliptic operators on arbitrary domains. Martin boundary theory is considered, and the Martin boundary is explicitly calculated for several classes of operators. The book provides an array of criteria for determining whether a diffusion process is transient or recurrent. Also introduced are the theory of bounded harmonic functions, and Brownian motion on manifolds of negative curvature. Many results that form the folklore of the subject are here given a rigorous exposition, making this book a useful reference for the specialist, and an excellent guide for the graduate student.

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