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Titlebook: Louis Boutet de Monvel, Selected Works; Victor W. Guillemin,Johannes Sjöstrand Book 2017 Springer International Publishing AG 2017 index t

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发表于 2025-3-21 17:13:02 | 显示全部楼层 |阅读模式
书目名称Louis Boutet de Monvel, Selected Works
编辑Victor W. Guillemin,Johannes Sjöstrand
视频video
概述Allows reader to access selected and grouped works by Louis Boutet de Monvel.Conveys Boutet de Monvel’s elegant vision of mathematics.how an idea is presented and elaborated on through successive pape
丛书名称Contemporary Mathematicians
图书封面Titlebook: Louis Boutet de Monvel, Selected Works;  Victor W. Guillemin,Johannes Sjöstrand Book 2017 Springer International Publishing AG 2017 index t
描述This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and secondly the Boutet de Monvel calculus for boundary problems for elliptic partial differential operators, which is still an important tool also in index theory. Thirdly, Boutet de Monvel was one of the first people to recognize the importance of the existence of generalized functions, whose singularities are concentrated on a single ray in phase space, which led him to make essential contributions to hypoelliptic operators and to a very successful and influential calculus of Toeplitz operators with applications to spectral andindex theory..Other topics treated here include microlocal analysis, star products and deformation quantization as well as problems in several complex variables, index theory and geometric quantization. This book will appeal to both experts in the field and students who
出版日期Book 2017
关键词index theory; pseudodifferential operators; quantization; spectral theory; Toeplitz operators; partial di
版次1
doihttps://doi.org/10.1007/978-3-319-27909-1
isbn_softcover978-3-319-80238-1
isbn_ebook978-3-319-27909-1Series ISSN 0884-7037
issn_series 0884-7037
copyrightSpringer International Publishing AG 2017
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发表于 2025-3-21 23:35:26 | 显示全部楼层
Toeplitz Operators,differential operator on .. The main results of this monograph (written in 1978–1979) are Toeplitz analogues of results (mostly dating from the preceding decade) of Chazarain, Colin de Verdière, Duistermaat, Helton, Hörmander, Menikoff-Sjöstrand, Weinstein, Widom and others on spectral properties of elliptic differential operators.
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Elliptic Boundary Problems,’s satisfying the . at the boundary, introduced in [B66a] (except that [B69] makes a brief excursion into the effects of a general .-transmission condition presented by Hörmander in mimeographed Princeton lecture notes 1965–66; Boutet de Monvel’s case is where . = 0).
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Elliptic Boundary Problems,tial operators (.do’s), originally defined only on manifolds without boundary. Boutet de Monvel [B71] presents the full theory, [B69] gives a version where the spatial dependence of the symbols is analytic, and [B66a] and [B66b] introduce important prerequisites. Boutet de Monvel settled for the .do
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