Analysis in Banach Spaces: Volume III: Harmonic Analysis and Spectral Theory: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, cartea 76
Autor Tuomas Hytönen, Jan van Neerven, Mark Veraar, Lutz Weisen Limba Engleză Hardback – 8 dec 2023
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Specificații
ISBN-13: 9783031465970
ISBN-10: 3031465970
Pagini: 826
Ilustrații: XXI, 826 p.
Dimensiuni: 155 x 235 mm
Greutate: 1.36 kg
Ediția:1st ed. 2023
Editura: Springer International Publishing
Colecția Springer
Seria Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3031465970
Pagini: 826
Ilustrații: XXI, 826 p.
Dimensiuni: 155 x 235 mm
Greutate: 1.36 kg
Ediția:1st ed. 2023
Editura: Springer International Publishing
Colecția Springer
Seria Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
Locul publicării:Cham, Switzerland
Cuprins
11 Singular integral operators.- 12 Dyadic operators and the T (1) theorem.- 13 The Fourier transform and multipliers.- 14 Function spaces.- 15 Bounded imaginary powers.- 16 The H∞-functional calculus revisited.- 17 Maximal regularity.- 18 Nonlinear parabolic evolution equations in critical spaces.- Appendix Q: Questions.- Appendix K: Semigroup theory revisited.- Appendix L: The trace method for real interpolation theory.
Notă biografică
Tuomas Hytönen is Professor at the University of Helsinki. A leading expert in Harmonic Analysis with over 100 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 120 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 Professor at Delft University of Technology. Author of over 80 research papers, he is a leading researcher 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, VIDI, and VICI grants from the Netherlands Organisation for Scientific Research.
Lutz Weis, a Professor Emeritus at Karlsruhe Institute of Technology, is a senior researcher in operator theory and evolution equations. He has published over 90 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.
Jan van Neerven is Professor of Analysis at Delft University of Technology. Author of more than 120 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 Professor at Delft University of Technology. Author of over 80 research papers, he is a leading researcher 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, VIDI, and VICI grants from the Netherlands Organisation for Scientific Research.
Lutz Weis, a Professor Emeritus at Karlsruhe Institute of Technology, is a senior researcher in operator theory and evolution equations. He has published over 90 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.
Caracteristici
Focuses on vector-valued singular integral operators Develops deep connections with evolution equations Self-contained with complete and detailed proofs
Recenzii
“The book can be used not only as a reference book but also as a basis for advanced courses in vector-valued analysis and geometry of Banach spaces. This monograph can be studied for different motivations, it clearly goes straight to the core and introduces only those concepts that will be needed later on, but makes detailed proofs, so it can be used as a textbook for students or as a book for researchers … .” (Oscar Blasco, zbMATH, Vol. 1366.46001, 2017)