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[null,"1.","Record Nr.",null,"UNINA9910975326203321"]
[null,null,"Autore",null,"González-Pérez Adrían M"]
[null,null,"Titolo",null,"Singular Integrals in Quantum Euclidean Spaces"]
[null,null,"Pubbl/distr/stampa",null,"Providence : , : American Mathematical Society, , 2021"]
[{"$nulls":4},"©2021"]
[null,null,"ISBN",null,"9781470467500"]
[{"$nulls":4},"147046750X"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (110 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; v.272"]
[null,null,"Classificazione",null,"42B2042B3747G3046L5146L1081R60"]
[null,null,"Disciplina",null,"515/.723"]
[null,null,"Soggetti",null,"Singular integrals"]
[{"$nulls":4},"Calderón-Zygmund operator"]
[{"$nulls":4},"Pseudodifferential operators"]
[{"$nulls":4},"Noncommutative differential geometry"]
[{"$nulls":4},"Lp spaces"]
[{"$nulls":4},"Quantum theory"]
[{"$nulls":4},"Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.)"]
[{"$nulls":4},"Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE"]
[{"$nulls":4},"Operator theory -- Integral, integro-differential, and pseudodifferential operators -- Pseudodifferential operators"]
[{"$nulls":4},"Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative measure and integration"]
[{"$nulls":4},"Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- General theory of von Neumann algebras"]
[{"$nulls":4},"Quantum theory -- Groups and algebras in quantum theory -- Noncommutative geometry"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"July 2021. Volume 272.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Quantum Euclidean spaces -- Calderón-Zygmund Lp theory -- Pseudodifferential Lp calculus -- Lp regularity for elliptic PDEs."]
[null,null,null,"Sommario/riassunto","\"We shall establish the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean spaces and "]
[{"$nulls":4},"tori. Our results go beyond Connes' pseudodifferential calculus for rotation algebras, thanks to a new form of Calderon-Zygmund theory over these spaces which crucially incorporates nonconvolution kernels. We deduce Lp-boundedness and Sobolev p-estimates for regular, exotic and forbidden symbols in the expected ranks. In the L2 level both Calderon-Vaillancourt and Bourdaud theorems for exotic and forbidden symbols are also generalized to the quantum setting. As a basic application of our methods, we prove Lp-regularity of solutions for elliptic PDEs\"--"]