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Noncommutative Analysis, Operator Theory and Applications

Daniel Alpay, Fabio Cipriani, Fabrizio Colombo, Daniele Guido, Irene Sabadini, Jean-Luc Sauvageot (Herausgeber)

Buch | Hardcover

VII, 283 Seiten

2016 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-29114-7 (ISBN)

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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.

Preface.- Pimsner algebras and noncommutative circle bundles.- A fractional Dirac operator.- On the Sylvester equation over quaternions.- The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Operators.- Clifford-Hermite polynomials in fractional Clifford analysis.- Negative definite functions on groups with polynomial growth.- An introduction to superoscillatory sequences.- Restriction and factorization for isometric and symmetric operators in almost Pontryagin spaces.- Measurements vs Interactions: tracks in a Wilson cloud chamber.- The radii problems for holomorphic mappings in J -algebras.- Lévy Processes on Quantum Permutation Groups.- New results on old spectral triples for fractals.- Why are Orlicz spaces useful for Statistical Physics?.

Erscheinungsdatum	17.05.2016
Reihe/Serie	Linear Operators and Linear Systems
Reihe/Serie	Operator Theory: Advances and Applications
Zusatzinfo	VII, 283 p. 20 illus., 2 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	free analysis • Free probability • Functional Analysis • Global Analysis and Analysis on Manifolds • Infinite dimensional analysis • mathematics and statistics • noncommutative analysis • Noncommutative Geometry • operator algebras • operator theory
ISBN-10	3-319-29114-9 / 3319291149
ISBN-13	978-3-319-29114-7 / 9783319291147
Zustand	Neuware