The following theorem is proved. Let G be a topological abelian group and E a subset of G for which there exist k elements a1,..., ak such that (E+a1) ⋃ ... ⋃ (E+ak) = G. Let further V be a ...
SIAM Journal on Applied Mathematics, Vol. 42, No. 5 (Oct., 1982), pp. 941-955 (15 pages) Slepian, Landau and Pollak found that a certain finite convolution integral operator on the real line commutes ...
Abstract: Fourier transform and its analogues are the cornerstone of classical harmonic analysis. To generalize the concept of Fourier transform to non-Abelian groups, the modern field of ...