Difference Equations Over Locally Compact Abelian Groups

DOI10.2307/1998197zbMath0417.43006OpenAlexW4256267636MaRDI QIDQ3207546

G. A. Edgar, Joseph Max Rosenblatt

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/1998197

zbMATH Keywords

Fourier transformsdifference equationstranslates

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Additive difference equations (39A10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (20)

Linear independence of time-frequency translates in \(\mathbb R^d\) ⋮ Uncertainty principles for the Heckman-Opdam transform ⋮ The Weyl transform of a measure ⋮ Reconstruction of continuous functions from locally uniform weighted averages ⋮ Invertibility of positive Toeplitz operators and associated uncertainty principle ⋮ Strong annihilating pairs for the Fourier-Bessel transform ⋮ Upper Beurling density of systems formed by translates of finite sets of elements in \(L^p(\mathbb{R}^d)\) ⋮ Linear independence of Parseval wavelets ⋮ Further properties of \(\ell^p\) dimension ⋮ Decompositions into the sum of periodic functions belonging to a given Banach space ⋮ Translates of Functions on the Heisenberg Group and the HRT Conjecture ⋮ Finite dimensional H-invariant spaces ⋮ Reconstruction from local averages involving discrete measures ⋮ Reconstruction from local discrete averages on the plane ⋮ Strictly positive definite functions on compact abelian groups ⋮ Systems formed by translates of one element in $L_{p}(\mathbb R)$ ⋮ Linear independence of time-frequency translates in \(L^p\) spaces ⋮ Letter to the editor: linear independence of time-frequency shifts up to extreme dilations ⋮ Almost periodicity and functional equations ⋮ The Periodic Decomposition Problem

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