Singular integrals in quantum Euclidean spaces

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 tori. Our results go beyond Connes’ pseudodifferential calculus for rotation algebras, thanks to a new form of Calder...

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Hlavní autori:	González-Pérez, Adrían Manuel, Junge, Marius, Parcet, Javier
Médium:	E-kniha Kniha
Jazyk:	English
Vydavateľské údaje:	Providence, Rhode Island American Mathematical Society 2021
Vydanie:	1
Edícia:	Memoirs of the American Mathematical Society
Predmet:	Calderón-Zygmund operator Calderón-Zygmund operator Functional analysis > Selfadjoint operator algebras ($C$-algebras, von Neumann ($W$-) algebras, etc.) > General theory of von Neumann algebras. msc Functional analysis > Selfadjoint operator algebras ($C$-algebras, von Neumann ($W$-) algebras, etc.) > Noncommutative measure and integration. msc Harmonic analysis on Euclidean spaces > Harmonic analysis in several variables > Harmonic analysis and PDE. msc Harmonic analysis on Euclidean spaces > Harmonic analysis in several variables > Singular and oscillatory integrals (Calderón-Zygmund, etc.). msc Lp spaces Noncommutative differential geometry Operator theory > Integral, integro-differential, and pseudodifferential operators > Pseudodifferential operators. msc Pseudodifferential operators Quantum theory Quantum theory > Groups and algebras in quantum theory > Noncommutative geometry. msc Singular integrals pseudodifferential operator Singular integral quantum Euclidean space
ISBN:	9781470449377, 1470449374
ISSN:	0065-9266, 1947-6221
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