| 书目名称 | Heat Kernels for Elliptic and Sub-elliptic Operators | | 副标题 | Methods and Techniqu | | 编辑 | Ovidiu Calin,Der-Chen Chang,Chisato Iwasaki | | 视频video | | | 概述 | Replete with examples to facilitate understanding.Explores a diverse arsenal of methods for finding explicit formulas for heat kernels.Contains most of the heat kernels computable by means of elementa | | 丛书名称 | Applied and Numerical Harmonic Analysis | | 图书封面 |  | | 描述 | .With each methodology treated in its own chapter, this monograph is a thorough exploration of several theories that can be used to find explicit formulas for heat kernels for both elliptic and sub-elliptic operators. The authors show how to find heat kernels for classical operators by employing a number of different methods. Some of these methods come from stochastic processes, others from quantum physics, and yet others are purely mathematical...What is new about this work is the sheer diversity of methods that are used to compute the heat kernels. It is interesting that such apparently distinct branches of mathematics, including stochastic processes, differential geometry, special functions, quantum mechanics and PDEs, all have a common concept – the heat kernel. This unifying concept, that brings together so many domains of mathematics, deserves dedicated study...Heat Kernels for Elliptic and Sub-elliptic Operators. is an ideal resource for graduate students, researchers, and practitioners in pure and applied mathematics as well as theoretical physicists interested in understanding different ways of approaching evolution operators.. | | 出版日期 | Book 2011 | | 关键词 | Brownian motion; Fourier transform; Laguerre calculus; Van Vleck formula; diffusion processes; elliptic a | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-8176-4995-1 | | isbn_ebook | 978-0-8176-4995-1Series ISSN 2296-5009 Series E-ISSN 2296-5017 | | issn_series | 2296-5009 | | copyright | Birkhäuser Boston 2011 |
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发表于 2025-3-21 16:10:53
