Operator Theory in Harmonic and Non-commutative Analysis

Operator Theory in Harmonic and Non-commutative Analysis PDF Author: Joseph A. Ball
Publisher: Springer
ISBN: 3319062662
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Operator Theory in Harmonic and Non-commutative Analysis

Operator Theory in Harmonic and Non-commutative Analysis PDF Author: Joseph A. Ball
Publisher: Springer
ISBN: 3319062662
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Operator Theory in Harmonic and Non-commutative Analysis

Operator Theory in Harmonic and Non-commutative Analysis PDF Author:
Publisher:
ISBN:
Category : Harmonic analysis
Languages : en
Pages : 256

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Book Description
This book comprises the proceedings of the XXIII International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.

Non-commutative Analysis

Non-commutative Analysis PDF Author: Jorgensen Palle
Publisher: World Scientific
ISBN: 9813202149
Category : Mathematics
Languages : en
Pages : 564

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Book Description
The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret "non-commutative analysis" broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C* algebras and von Neumann algebras.) A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras. The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.

Noncommutative Analysis, Operator Theory and Applications

Noncommutative Analysis, Operator Theory and Applications PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319291165
Category : Mathematics
Languages : en
Pages : 283

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Book Description
This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.

Noncommutative Microlocal Analysis

Noncommutative Microlocal Analysis PDF Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
ISBN: 0821823140
Category : Differential equations, Hypoelliptic
Languages : en
Pages : 188

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Book Description


Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems

Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems PDF Author: Hermann Schulz-Baldes
Publisher: Springer Nature
ISBN: 3031122011
Category : Science
Languages : en
Pages : 225

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Book Description
This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike.

Non-Commutative Harmonic Analysis

Non-Commutative Harmonic Analysis PDF Author: Jacques Carmona
Publisher:
ISBN:
Category :
Languages : en
Pages : 244

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Book Description


Commutative and Noncommutative Harmonic Analysis and Applications

Commutative and Noncommutative Harmonic Analysis and Applications PDF Author: Azita Mayeli
Publisher: American Mathematical Soc.
ISBN: 0821894935
Category : Mathematics
Languages : en
Pages : 218

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Book Description
This volume contains the proceedings of the AMS Special Session on Wavelet and Frame Theoretic Methods in Harmonic Analysis and Partial Differential Equations, held September 22-23, 2012, at the Rochester Institute of Technology, Rochester, NY, USA. The book features new directions, results and ideas in commutative and noncommutative abstract harmonic analysis, operator theory and applications. The commutative part includes shift invariant spaces, abelian group action on Euclidean space and frame theory; the noncommutative part includes representation theory, continuous and discrete wavelets related to four dimensional Euclidean space, frames on symmetric spaces, $C DEGREES*$-algebras, projective multiresolutions, and free probability algebras. The scope of the book goes beyond traditional harmonic analysis, dealing with Fourier tools, transforms, Fourier bases, and associated function spaces. A number of papers take the step toward wavelet analysis, and even more general tools for analysis/synthesis problems, including papers on frames (over-complete bases) and their practical applications to engineering, cosmology and astrophysics.Other applications in this book include explicit families of wavelets and frames, as they are used in signal processing, multiplexing, and the study of Cosmic Microwave Background (CMB) radiation. For the purpose of organisation, the book is divided into three parts: noncommutative, commutative, and applications. The first group of papers are devoted to problems in noncommutative harmonic analysis, the second to topics in commutative harmonic analysis, and the third to such applications as wavelet and frame theory and to some real-world applications.

Noncommutative Harmonic Analysis

Noncommutative Harmonic Analysis PDF Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
ISBN: 0821815237
Category : Mathematics
Languages : en
Pages : 346

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Book Description
Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.

Non-commutative Analysis

Non-commutative Analysis PDF Author: Palle E. T. Jørgensen
Publisher:
ISBN: 9789813202139
Category : Functional analysis
Languages : en
Pages : 533

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Book Description
The book features new directions in analysis, with an emphasis on Hilbert space, mathematical physics, and stochastic processes. We interpret'non-commutative analysis'broadly to include representations of non-Abelian groups, and non-Abelian algebras; emphasis on Lie groups and operator algebras (C" algebras and von Neumann algebras.)A second theme is commutative and non-commutative harmonic analysis, spectral theory, operator theory and their applications. The list of topics includes shift invariant spaces, group action in differential geometry, and frame theory (over-complete bases) and their applications to engineering (signal processing and multiplexing), projective multi-resolutions, and free probability algebras. The book serves as an accessible introduction, offering a timeless presentation, attractive and accessible to students, both in mathematics and in neighboring fields.