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Book
Beyond Sobolev and Besov : regularity of solutions of PDEs and their traces in function spaces
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ISBN: 3030751392 3030751384 Year: 2021 Publisher: Cham, Switzerland : Springer,

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Book
Sobolev Maps to the Circle
Authors: --- ---
ISBN: 9781071615126 Year: 2021 Publisher: New York, NY Springer US :Imprint: Birkhäuser


Book
Sobolev maps to the circle : from the perspective of analysis, geometry, and topology
Authors: ---
ISBN: 1071615106 1071615122 Year: 2022 Publisher: Basel, Switzerland : Springer,


Book
The E. M. Stein Lectures on Hardy Spaces
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ISBN: 9783031219528 Year: 2023 Publisher: Cham Springer Nature Switzerland :Imprint: Springer

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The book The E. M. Stein Lectures on Hardy Spaces is based on a graduate course on real variable Hardy spaces which was given by E.M. Stein at Princeton University in the academic year 1973-1974. Stein, along with C. Fefferman and G. Weiss, pioneered this subject area, removing the theory of Hardy spaces from its traditional dependence on complex variables, and to reveal its real-variable underpinnings. This book is based on Steven G. Krantz’s notes from the course given by Stein. The text builds on Fefferman's theorem that BMO is the dual of the Hardy space. Using maximal functions, singular integrals, and related ideas, Stein offers many new characterizations of the Hardy spaces. The result is a rich tapestry of ideas that develops the theory of singular integrals to a new level. The final chapter describes the major developments since 1974. This monograph is of broad interest to graduate students and researchers in mathematical analysis. Prerequisites for the book include a solid understanding of real variable theory and complex variable theory. A basic knowledge of functional analysis would also be useful.


Book
New directions in function theory : from complex to hypercomplex to non-commutative : Chapman University, November 2019
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ISBN: 3030764729 3030764737 Year: 2021 Publisher: Cham, Switzerland : Birkhäuser,


Book
Operator theory, functional analysis and applications
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ISBN: 3030519457 3030519449 Year: 2021 Publisher: Cham, Switzerland : Springer,


Periodical
Geometric And Functional Analysis
ISSN: 14208970 1016443X

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Book
Extension problems and stable ranks : a space odyssey
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ISBN: 3030738728 303073871X Year: 2021 Publisher: Cham, Switzerland : Birkhäuser,

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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.

Keywords

Functions of complex variables. --- Functional analysis. --- Functions of a Complex Variable. --- Functional Analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Complex variables --- Elliptic functions --- Functions of real variables --- Funcions de variables complexes --- Anàlisi funcional --- Càlcul funcional --- Càlcul de variacions --- Àlgebres de Hilbert --- Àlgebres topològiques --- Anàlisi funcional no lineal --- Anàlisi microlocal --- Espais analítics --- Espais de Hardy --- Espais d'Orlicz --- Espais funcionals --- Espais vectorials normats --- Espais vectorials --- Filtres digitals (Matemàtica) --- Funcionals --- Funcions vectorials --- Multiplicadors (Anàlisi matemàtica) --- Pertorbació (Matemàtica) --- Teoria d'operadors --- Teoria de distribucions (Anàlisi funcional) --- Teoria de functors --- Teoria de l'aproximació --- Teoria del funcional de densitat --- Teoria espectral (Matemàtica) --- Equacions funcionals --- Equacions integrals --- Anàlisi complexa --- Funció d'una variable complexa --- Variables complexes --- Aplicacions quasiconformes --- Funcions abelianes --- Funcions analítiques --- Funcions convexes --- Funcions de diverses variables complexes --- Funcions enteres --- Funcions meromorfes --- Funcions univalents --- Grups discontinus --- Invariants conformes --- Problemes de contorn --- Sèries de Lie --- Teoria geomètrica de funcions --- Funcions de variables reals --- Funcions el·líptiques --- Sistemes dinàmics complexos


Book
Systems with persistent memory : controllability, stability, identification
Author:
ISBN: 3030802817 3030802809 Year: 2021 Publisher: Cham, Switzerland : Springer,

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