Recent developments on the F. and M. Riesz theorem
Recovery of band-limited functions on locally compact Abelian groups from irregular samples
Using the techniques of approximation and factorization of convolution operators we study the problem of irregular sampling of band-limited functions on a locally compact Abelian group . The results of this paper relate to earlier work by Feichtinger and Gröchenig in a similar way as Kluvánek’s work published in 1969 relates to the classical Shannon Sampling Theorem. Generally speaking we claim that reconstruction is possible as long as there is sufficient high sampling density. Moreover, the iterative...
Remark on Fourier-Stieltjes transforms of continuous measures
Remark on Fourier-Stieltjes transforms of continuous measures
Resonance classes of measures.
Riesz products on non-commutative groups
Rosenthal sets that cannot be sup-norm partitioned and an application to tensor products