Transfer of Fourier Multipliers into Schur Multipliers and Sumsets in a Discrete Group
By Stefan Neuwirth, 'Eric Ricard. Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2010
60 citations recorded by the source corpus.
Abstract We inspect the relationship between relative Fourier multipliers on noncommutative Lebesgue–Orlicz spaces of a discrete group $\Gamma$ and relative Toeplitz-Schur multipliers on Schatten–von-Neumann–Orlicz classes. Four applications are given: lacunary sets, unconditional Schauder bases for the subspace of a Lebesgue space determined by a given spectrum $\Lambda \,\subseteq \,\Gamma$ , the norm of the Hilbert transformand the Riesz projection on Schatten–von-Neumann classes with exponent a power of 2, and the norm of Toeplitz Schur multipliers on Schatten–von-Neumann classes with exponent less than 1.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/cbbf2ed1f2cc2802ccd03b9d336757cdb88bd1ac
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In Applied Mathematics
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In Mathematical Physics
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Citations in the corpus
- Smooth Fourier multipliers on group von Neumann algebras (2010, methodology): “We also refer to Neuwirth/Ricard’s paper [52] for closely related methods.”
- Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori (2015, methodology): “The main tool is Neuwirth-Ricard’s transference between Fourier multipliers and Schur multipliers in [48].”