| 书目名称 | Global Pseudo-differential Calculus on Euclidean Spaces | | 编辑 | Fabio Nicola,Luigi Rodino | | 视频video | | | 概述 | Addresses global pseudo-differential calculus and hypoellipticity.Includes classic calculus as a special case.Gives several applications to global problems in Euclidean spaces, including non-linear PD | | 丛书名称 | Pseudo-Differential Operators | | 图书封面 |  | | 描述 | This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations.The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators.Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace.Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied. | | 出版日期 | Book 2010 | | 关键词 | Schrödinger operator; calculus; differential equation; hypoelliptic operator; pseudo-differential calcul | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-7643-8512-5 | | isbn_softcover | 978-3-7643-8511-8 | | isbn_ebook | 978-3-7643-8512-5Series ISSN 2297-0355 Series E-ISSN 2297-0363 | | issn_series | 2297-0355 | | copyright | Birkhäuser Basel 2010 |
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发表于 2025-3-21 19:30:03
