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Decomposition of analytic measures on groups and measure spaces

Nakhlé Asmar, Stephen Montgomery-Smith (2001)

Studia Mathematica

We consider an arbitrary locally compact abelian group G, with an ordered dual group Γ, acting on a space of measures. Under suitable conditions, we define the notion of analytic measures using the representation of G and the order on Γ. Our goal is to study analytic measures by applying a new transference principle for subspaces of measures, along with results from probability and Littlewood-Paley theory. As a consequence, we derive new properties of analytic measures as well as extensions of previous...

Dirac operators, conformal transformations and aspects of classical harmonic analysis.

Ryan, John (1998)

Journal of Lie Theory

Discrete marginal problem for complex measures

František Matúš (1988)

Kybernetika

Domains of Integral Transformations on General Measure Spaces.

Pawel Szeptycki (1979)

Mathematische Annalen

Dual algebras.

Martin E. Walter (1986)

Mathematica Scandinavica

Dunkl translation and uncentered maximal operator on the real line.

Abdelkefi, Chokri, Sifi, Mohamed (2007)

International Journal of Mathematics and Mathematical Sciences

Dunkl-Gabor transform and time-frequency concentration

Saifallah Ghobber (2015)

Czechoslovak Mathematical Journal

The aim of this paper is to prove two new uncertainty principles for the Dunkl-Gabor transform. The first of these results is a new version of Heisenberg’s uncertainty inequality which states that the Dunkl-Gabor transform of a nonzero function with respect to a nonzero radial window function cannot be time and frequency concentrated around zero. The second result is an analogue of Benedicks’ uncertainty principle which states that the Dunkl-Gabor transform of a nonzero function with respect to...