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Weak* properties of weighted convolution algebras II

Sandy Grabiner (2010)

Studia Mathematica

We show that if ϕ is a continuous homomorphism between weighted convolution algebras on ℝ⁺, then its extension to the corresponding measure algebras is always weak* continuous. A key step in the proof is showing that our earlier result that normalized powers of functions in a convolution algebra on ℝ⁺ go to zero weak* is also true for most measures in the corresponding measure algebra. For some algebras, we can determine precisely which measures have normalized powers converging to zero weak*. We...

Weil Multipliers.

L. Auslander, F. Geshwind, F. Warner (1995)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

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