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Book Synopsis
Establisesh the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean spaces and tori. The results go beyond Connes' pseudodifferential calculus for rotation algebras, thanks to a new form of Calderon-Zygmund theory over these spaces.

Singular Integrals in Quantum Euclidean Spaces

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    A Paperback by Adrian M. Gonzalez–perez, Marius Junge, Javier Parcet

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      Publisher: MP-AMM American Mathematical
      Publication Date: 5/30/2022 12:00:00 AM
      ISBN13: 9781470449377, 978-1470449377
      ISBN10: 1470449374

      Description

      Book Synopsis
      Establisesh the core of singular integral theory and pseudodifferential calculus over the archetypal algebras of noncommutative geometry: quantum forms of Euclidean spaces and tori. The results go beyond Connes' pseudodifferential calculus for rotation algebras, thanks to a new form of Calderon-Zygmund theory over these spaces.

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