Interpolation of Linear Operators PDF Download
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Author: S. G. Krein
Publisher: American Mathematical Soc.
ISBN: 0821831763
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Author: S. G. Krein
Publisher: American Mathematical Soc.
ISBN: 0821831763
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Author: Svante Janson
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
Author: Colin Bennett
Publisher: Academic Press
ISBN: 0080874487
Category : Mathematics
Languages : en
Pages : 489
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Book Description
This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.
Author: Anna Skripka
Publisher: Springer Nature
ISBN: 3030324060
Category : Mathematics
Languages : en
Pages : 192
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Book Description
This book provides a comprehensive treatment of multilinear operator integral techniques. The exposition is structured to be suitable for a course on methods and applications of multilinear operator integrals and also as a research aid. The ideas and contributions to the field are surveyed and up-to-date results and methods are presented. Most practical constructions of multiple operator integrals are included along with fundamental technical results and major applications to smoothness properties of operator functions (Lipschitz and Hölder continuity, differentiability), approximation of operator functions, spectral shift functions, spectral flow in the setting of noncommutative geometry, quantum differentiability, and differentiability of noncommutative L^p-norms. Main ideas are demonstrated in simpler cases, while more involved, technical proofs are outlined and supplemented with references. Selected open problems in the field are also presented.
Author: Israel Gohberg
Publisher: Birkhauser
ISBN:
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Author: Camil Muscalu
Publisher: Cambridge University Press
ISBN: 1139620460
Category : Mathematics
Languages : en
Pages : 341
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Book Description
This two-volume text in harmonic analysis introduces a wealth of analytical results and techniques. It is largely self-contained and useful to graduates and researchers in pure and applied analysis. Numerous exercises and problems make the text suitable for self-study and the classroom alike. The first volume starts with classical one-dimensional topics: Fourier series; harmonic functions; Hilbert transform. Then the higher-dimensional Calderón–Zygmund and Littlewood–Paley theories are developed. Probabilistic methods and their applications are discussed, as are applications of harmonic analysis to partial differential equations. The volume concludes with an introduction to the Weyl calculus. The second volume goes beyond the classical to the highly contemporary and focuses on multilinear aspects of harmonic analysis: the bilinear Hilbert transform; Coifman–Meyer theory; Carleson's resolution of the Lusin conjecture; Calderón's commutators and the Cauchy integral on Lipschitz curves. The material in this volume has not previously appeared together in book form.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 92
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Book Description
Author: I. Gohberg
Publisher: Birkhäuser
ISBN: 3034877013
Category : Science
Languages : en
Pages : 311
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Book Description
Author: Ronald A. DeVore
Publisher:
ISBN:
Category :
Languages : de
Pages : 25
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Book Description
Author: Loukas Grafakos
Publisher: Springer
ISBN: 1493912305
Category : Mathematics
Languages : en
Pages : 636
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Book Description
This text is aimed at graduate students in mathematics and to interested researchers who wish to acquire an in depth understanding of Euclidean Harmonic analysis. The text covers modern topics and techniques in function spaces, atomic decompositions, singular integrals of nonconvolution type and the boundedness and convergence of Fourier series and integrals. The exposition and style are designed to stimulate further study and promote research. Historical information and references are included at the end of each chapter. This third edition includes a new chapter entitled "Multilinear Harmonic Analysis" which focuses on topics related to multilinear operators and their applications. Sections 1.1 and 1.2 are also new in this edition. Numerous corrections have been made to the text from the previous editions and several improvements have been incorporated, such as the adoption of clear and elegant statements. A few more exercises have been added with relevant hints when necessary.
