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010 a| 2022007694;

020 a| 9781470449377q| (paperback);

020 z| 9781470467500q| (epub);

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100 1 a| González-Pérez, Adrían Manuel.?| UNAUTHORIZED;

245 10 a| Singular integrals in quantum Euclidean spacesh| [electronic resource] /c| Adrían Manuel González-Pérez, Marius Junge, Javier Parcet.;

260 a| Providence, RI :b| AMS, American Mathematical Society,c| 2021.;

300 a| xiii, 90 pages :b| illustrations ;c| 26 cm.;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| Number 1334;

500 a| "July 2021. Volume 272.";

504 a| Includes bibliographical references.;

505 0 a| Quantum Euclidean spaces -- Calderón-Zygmund Lp theory -- Pseudodifferential Lp calculus -- Lp regularity for elliptic PDEs.;

506 a| Available only to authorized users.;

520 a| "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 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"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Singular integrals.=| ^A347316;

650 0 a| Calderón-Zygmund operator.=| ^A568089;

650 0 a| Pseudodifferential operators.=| ^A50978;

650 0 a| Noncommutative differential geometry.=| ^A417449;

650 0 a| Lp spaces.=| ^A85776;

650 0 a| Quantum theory.=| ^A19752;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).2| msc;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE.2| msc;

650 7 a| Operator theory -- Integral, integro-differential, and pseudodifferential operators -- Pseudodifferential operators.2| msc;

650 7 a| Functional analysis -- Selfadjoint operator algebras ($C$-algebras, von Neumann ($W$-) algebras, etc.) -- Noncommutative measure and integration.2| msc;

650 7 a| Functional analysis -- Selfadjoint operator algebras ($C$-algebras, von Neumann ($W$-) algebras, etc.) -- General theory of von Neumann algebras.2| msc;

650 7 a| Quantum theory -- Groups and algebras in quantum theory -- Noncommutative geometry.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Junge, Marius.=| ^A712467;

700 1 a| Parcet, Javier,d| 1975-=| ^A1009391;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6798071;

949 a| CLICK ON WEB ADDRESSw| ASISh| JOYNER188;

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998 a| 6516354;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6516354-3001l| MNETm| JMUSICr| Ys| Yt| MNESSBKu| 1/14/2025x| EBOOKz| JERESOURCE;

Singular integrals in quantum Euclidean spaces / Adrían Manuel González-Pérez, Marius Junge, Javier Parcet.

Author/creator	González-Pérez, Adrían Manuel
Other author	Junge, Marius.
Other author	Parcet, Javier, 1975-
Format	Electronic
Publication Info	Providence, RI : AMS, American Mathematical Society, 2021.
Description	xiii, 90 pages : illustrations ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Singular integrals. Calderón-Zygmund operator. Pseudodifferential operators. Noncommutative differential geometry. Lp spaces. Quantum theory.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; Number 1334
Contents	Quantum Euclidean spaces -- Calderón-Zygmund Lp theory -- Pseudodifferential Lp calculus -- Lp regularity for elliptic PDEs.
Abstract	"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 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"-- Provided by publisher.
General note	"July 2021. Volume 272."
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2022007694
ISBN	9781470449377 (paperback)
ISBN	(epub)

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