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Analysis in Banach Spaces
Volume II: Probabilistic Methods and Operator Theory
Buch von Tuomas Hytönen (u. a.)
Sprache: Englisch

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Beschreibung
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
Über den Autor

Tuomas Hytönen is Professor at the University of Helsinki. A leading expert in Harmonic Analysis with over 60 research papers, he was educated at Helsinki University of Technology and spent a postdoc year at Delft University of Technology. He received a European Research Council Starting Grant in 2011 and gave an invited address to the International Congress of Mathematicians in 2014.

Jan van Neerven is Professor of Analysis at Delft University of Technology. Author of more than 100 research papers and two monographs, he is a leading expert in Operator Theory and Stochastic Analysis. He held post-doctoral positions at Caltech and Tübingen University. He was awarded a Human Capital and Mobility fellowship, a fellowship of the Royal Dutch Academy of Arts and Sciences, and VIDI and VICI subsidies from the Netherlands Organisation for Scientific Research.

Mark Veraar is Associate Professor at Delft University of Technology. Author of over 40 research papers, he is a leadingresearcher in the theory of evolution equations and stochastic partial differential equations. He held post-doctoral positions at the Universities of Warsaw and Karlsruhe, the latter with a Alexander von Humboldt Fellowship. He is the recipient of VENI and VIDI grants from the Netherlands Organisation for Scientific Research.

Lutz Weis, a Professor at Karlsruhe Institute of Technology, is a senior researcher in operator theory and evolution equations. He has published over 80 research papers and a monograph. Since receiving his PhD from University of Bonn, he was a professor at Louisiana State University and visiting professor at TU Berlin as well as Universities of Kiel, South Carolina and Minnesota. He organized a Marie Curie training site and is currently a member of a DFG Graduiertenkolleg.

Zusammenfassung
Presents a thorough study of the basic randomisation techniques and the operator-theoretic aspects of the theory.
Inhaltsverzeichnis

6.Random sums.-7.Type, cotype, and related properties.- 8.R-boundedness.- 9.Square functions and radonifying operators.- 11.The H1-functional calculus.- P.Open problems.- E.Probability theory.- F Banach lattices.- G Semigroups of linear operators.- H.Holomorphic functions on the strip.- I.Muckenhoupt weights.- References.- Index.

Details
Erscheinungsjahr: 2018
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 640
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Inhalt: xxiii
616 S.
7 s/w Illustr.
616 p. 7 illus.
ISBN-13: 9783319698076
ISBN-10: 3319698079
Sprache: Englisch
Herstellernummer: 978-3-319-69807-6
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hytönen, Tuomas
Weis, Lutz
Veraar, Mark
Neerven, Jan Van
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Maße: 241 x 160 x 40 mm
Von/Mit: Tuomas Hytönen (u. a.)
Erscheinungsdatum: 22.02.2018
Gewicht: 1,115 kg
preigu-id: 111015370
Über den Autor

Tuomas Hytönen is Professor at the University of Helsinki. A leading expert in Harmonic Analysis with over 60 research papers, he was educated at Helsinki University of Technology and spent a postdoc year at Delft University of Technology. He received a European Research Council Starting Grant in 2011 and gave an invited address to the International Congress of Mathematicians in 2014.

Jan van Neerven is Professor of Analysis at Delft University of Technology. Author of more than 100 research papers and two monographs, he is a leading expert in Operator Theory and Stochastic Analysis. He held post-doctoral positions at Caltech and Tübingen University. He was awarded a Human Capital and Mobility fellowship, a fellowship of the Royal Dutch Academy of Arts and Sciences, and VIDI and VICI subsidies from the Netherlands Organisation for Scientific Research.

Mark Veraar is Associate Professor at Delft University of Technology. Author of over 40 research papers, he is a leadingresearcher in the theory of evolution equations and stochastic partial differential equations. He held post-doctoral positions at the Universities of Warsaw and Karlsruhe, the latter with a Alexander von Humboldt Fellowship. He is the recipient of VENI and VIDI grants from the Netherlands Organisation for Scientific Research.

Lutz Weis, a Professor at Karlsruhe Institute of Technology, is a senior researcher in operator theory and evolution equations. He has published over 80 research papers and a monograph. Since receiving his PhD from University of Bonn, he was a professor at Louisiana State University and visiting professor at TU Berlin as well as Universities of Kiel, South Carolina and Minnesota. He organized a Marie Curie training site and is currently a member of a DFG Graduiertenkolleg.

Zusammenfassung
Presents a thorough study of the basic randomisation techniques and the operator-theoretic aspects of the theory.
Inhaltsverzeichnis

6.Random sums.-7.Type, cotype, and related properties.- 8.R-boundedness.- 9.Square functions and radonifying operators.- 11.The H1-functional calculus.- P.Open problems.- E.Probability theory.- F Banach lattices.- G Semigroups of linear operators.- H.Holomorphic functions on the strip.- I.Muckenhoupt weights.- References.- Index.

Details
Erscheinungsjahr: 2018
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 640
Reihe: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Inhalt: xxiii
616 S.
7 s/w Illustr.
616 p. 7 illus.
ISBN-13: 9783319698076
ISBN-10: 3319698079
Sprache: Englisch
Herstellernummer: 978-3-319-69807-6
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Hytönen, Tuomas
Weis, Lutz
Veraar, Mark
Neerven, Jan Van
Auflage: 1st ed. 2017
Hersteller: Springer International Publishing
Springer International Publishing AG
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Maße: 241 x 160 x 40 mm
Von/Mit: Tuomas Hytönen (u. a.)
Erscheinungsdatum: 22.02.2018
Gewicht: 1,115 kg
preigu-id: 111015370
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