Noncommutative Analysis, Operator Theory and Applications

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

Buch | Softcover

VII, 283 Seiten

2018 | Softcover reprint of the original 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-80492-7 (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	05.03.2022
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
Gewicht	4453 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	free analysis • Free probability • Infinite dimensional analysis • noncommutative analysis • Noncommutative Geometry • operator algebras
ISBN-10	3-319-80492-8 / 3319804928
ISBN-13	978-3-319-80492-7 / 9783319804927
Zustand	Neuware