Extension problems and stable ranks [Documento eletrónico] : a space odyssey / by Raymond Mortini, Rudolf Rupp
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Birkhäuser, 2021Description: XXII, 2176 p. : il.ISBN: 978-3-030-73872-3.Subject - Topical Name: Functions of complex variables | Functional analysis Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA331.7.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96662 |
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QA331.7.SPR FCT Advancements in complex analysis, from theory to practice | QA331.7.SPR FCT Potential theory on Sierpiński carpets, with applications to uniformization | QA331.7.SPR FCT Principles of complex analysis | QA331.7.SPR FCT Extension problems and stable ranks, a space odyssey | QA331.7.SPR FCT Classical analysis in the complex plane | QA331.7.SPR FCT Extended abstracts fall 2019, spaces of analytic functions, approximation, interpolation, sampling | QA331.7.SPR FCT More explorations in complex functions |
This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.
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