Remarks on spectra and 𝐿¹ multipliers for convolution operators

DOI10.1090/S0002-9939-05-08159-1zbMath1086.43003OpenAlexW2907008525MaRDI QIDQ3372133

Andrzej Hulanicki, Włodzimierz Bąk

Publication date: 17 February 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-08159-1

zbMATH Keywords

convolution operatorspectraBeurling algebraLocally compact group\(L^1\) multipliers

Mathematics Subject Classification ID

Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(L^ p\) spectral multipliers for a solvable Lie group
• Classes of nonabelian, noncompact, locally compact groups
• Spectral multipliers on exponential growth solvable Lie groups
• Weighted group algebras on groups of polynomial growth
• Symmetry of complex involutory Banach algebras. II
• Equality of two spectra arising in harmonic analysis and semigroup theory
• When is the spectrum of a convolution operator on L^p independent of p?
• Full Banach Mean Values on Countable groups.
• A functional calculus for Rockland operators on nilpotent Lie groups
• On L p -Spectra of the Laplacian on a Lie Group with Polynomial Growth
• Subalgebra of $L_1(G)$ associated with Laplacian on a Lie group
• A note on invariance of spectrum for symmetric Banach *-algebras
• Spectral multipliers for a distinguished Laplacian on certain groups of exponential growth
• Boundedness of $L^1$ spectral multipliers for an exponential solvable Lie group
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Sub-Laplacians of Holomorphic L^p -Type on Exponential Solvable Groups
• Spectral multipliers on metabelian groups
• The lamplighter group as a group generated by a 2-state automaton, and its spectrum

This page was built for publication: Remarks on spectra and 𝐿¹ multipliers for convolution operators