| 书目名称 | Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers | | 编辑 | Cédric Arhancet,Christoph Kriegler | | 视频video | | | 概述 | Solves the Junge–Mei–Parcet problem concerning the H∞ calculus of Hodge–Dirac operators.Introduces in a self-contained way all materials needed in the construction of its various non-commutative objec | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This book on recent research in noncommutative harmonic analysis treats the L.p. boundedness of Riesz transforms associated with Markovian semigroups of either Fourier multipliers on non-abelian groups or Schur multipliers. The detailed study of these objects is then continued with a proof of the boundedness of the holomorphic functional calculus for Hodge–Dirac operators, thereby answering a question of Junge, Mei and Parcet, and presenting a new functional analytic approach which makes it possible to further explore the connection with noncommutative geometry. These L.p. operations are then shown to yield new examples of quantum compact metric spaces and spectral triples. . The theory described in this book has at its foundation one of the great discoveries in analysis of the twentieth century: the continuity of the Hilbert and Riesz transforms on L.p.. In the works of Lust-Piquard (1998) and Junge, Mei and Parcet (2018), it became apparent that these L.p. operations can be formulated on L.p. spaces associated with groups. Continuing these lines of research, the book provides a self-contained introduction to the requisite noncommutative background.. Covering an active and excitin | | 出版日期 | Book 2022 | | 关键词 | Riesz Transforms; Functional Calculus; Fourier Multipliers; Schur Multipliers; Noncommutative Lp-spaces; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-99011-4 | | isbn_softcover | 978-3-030-99010-7 | | isbn_ebook | 978-3-030-99011-4Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
The information of publication is updating
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers影响因子(影响力)
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers影响因子(影响力)学科排名
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers网络公开度
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers网络公开度学科排名
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers被引频次
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers被引频次学科排名
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers年度引用
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers年度引用学科排名
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers读者反馈
书目名称Riesz Transforms, Hodge-Dirac Operators and Functional Calculus for Multipliers读者反馈学科排名
|
|
|
发表于 2025-3-21 16:39:15
