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NON-COMMUTATIVE ANALYSIS de Jorgensen Palle

NON-COMMUTATIVE ANALYSIS

Autor Jorgensen Palle
en Limba Engleză Paperback – 25 ian 2017
Thebookfeaturesnewdirectionsinanalysis,withanemphasisonHilbertspace,mathematicalphysics,andstochasticprocesses.Weinterpret'non-commutativeanalysis'broadlytoincluderepresentationsofnon-Abeliangroups,andnon-Abelianalgebras;emphasisonLiegroupsandoperatoralgebras(C*algebrasandvonNeumannalgebras.)Asecondthemeiscommutativeandnon-commutativeharmonicanalysis,spectraltheory,operatortheoryandtheirapplications.Thelistoftopicsincludesshiftinvariantspaces,groupactionindifferentialgeometry,andframetheory(over-completebases)andtheirapplicationstoengineering(signalprocessingandmultiplexing),projectivemulti-resolutions,andfreeprobabilityalgebras.Thebookservesasanaccessibleintroduction,offeringatimelesspresentation,attractiveandaccessibletostudents,bothinmathematicsandinneighboringfields.
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Specificații

ISBN-13: 9789813202122
ISBN-10: 9813202122
Pagini: 562
Dimensiuni: 152 x 229 x 30 mm
Greutate: 0.8 kg
Editura: World Scientific

Descriere

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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.)