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Singular Integrals in Quantum Euclidean Spaces (Paperback) Loot Price: R2,087
Discovery Miles 20 870
Repayment Terms: R196 pm x 12*
Singular Integrals in Quantum Euclidean Spaces (Paperback): Adrian M. Gonzalez-Perez, Marius Junge, Javier Parcet

Singular Integrals in Quantum Euclidean Spaces (Paperback)

Adrian M. Gonzalez-Perez, Marius Junge, Javier Parcet

Series: Memoirs of the American Mathematical Society

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Loot Price R2,087 Discovery Miles 20 870 | Repayment Terms: R196 pm x 12*

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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.

General

Imprint: American Mathematical Society
Country of origin: United States
Series: Memoirs of the American Mathematical Society
Release date: May 2022
Authors: Adrian M. Gonzalez-Perez • Marius Junge • Javier Parcet
Dimensions: 254 x 178mm (L x W)
Format: Paperback
ISBN-13: 978-1-4704-4937-7
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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LSN: 1-4704-4937-4
Barcode: 9781470449377

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