JOINT SPECTRUM OF TRANSLATIONS ON

Violeta Petkova (France)

Received March 7, 2007; Revised June 25, 2007

References:

[1] A. Beurling and P. Malliavin, On Fourier transforms of measures with compact support, Acta Math. 107 (1962), 201-309. [2] L. Gearhart, Spectral theorem for contraction semi-groups in Hilbert space, Trans. Amer. Math. Soc. 236 (1978), 385-394. [3] J. Howland, On a theorem of Gearhart, Integral Equations and Operator Theory 7 (1984), 138-142. [4] V. Müller and A. Soltysiak, Spectrum of generators of a noncommutative Banach algebra, Studia Math. 93 (1989), 87-95. [5] V. Petkova, Symbole d’un multiplicateur sur Bull. Sci. Math. 128 (2004), 391-415. [6] V. Petkova, Multipliers on Banach spaces of functions on a locally compact abelian group, J. London Math. Soc. 75 (2007), 369-390. [7] W. Zelazko, Banach Algebras, Elsevier Publishing Company, Amsterdam, 1973.

Keywords and phrases: weighted space, joint spectrum.