Some applications of Grothendieck's theory of topological tensor products in harmonic analysis

DOI10.1007/BF01351432zbMath0343.43012OpenAlexW2049429850MaRDI QIDQ1232661

Michael G. Cowling

Publication date: 1977

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163088

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (11)

Marcinkiewicz-type multipliers on products of noncompact symmetric spaces ⋮ Translation invariant maps on function spaces over locally compact groups ⋮ On a (no longer) new Segal algebra: a review of the Feichtinger algebra ⋮ Amalgams of 𝐿^{𝑝} and 𝑙^{𝑞} ⋮ Some sufficient conditions for uniform convergence of Fourier series ⋮ Harmonic analysis on reductive Lie groups ⋮ Three-term idempotent counterexamples in the Hardy-Littlewood majorant problem ⋮ Exponential sums with coefficients 0 or 1 and concentrated \(L^p\) norms ⋮ The predual of the space of convolutors on a locally compact group ⋮ Radial Functions and Invariant Convolution Operators ⋮ An application of the Radon Nikodym property in harmonic analysis

Cites Work

• Unnamed Item
• Multiplier transformations of weak type
• A proof of the Grothendieck inequality
• Translation invariant operators in \(L^ p\)
• Quasimeasures and operators commuting with convolution
• Inclusions and Noninclusion of Spaces of Convolution Operators
• L'algèbre de Fourier d'un groupe localement compact
• Density and representation theorems for multipliers of type (p, q)
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications

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