AbstractUsing contour integration and a multiplier technique, we establish a sampling theorem with nonuniform complex nodes (tn)n∈Zwhich applies to entire functions of exponential type including band-limitedL2-functions. The sequence (tn)n∈Zmust satisfy supn∈Z|R(tn)−n|<∞ and supn∈Z|I(tn)|<∞. The sampled function may grow faster than any polynomial on the real line
AbstractAn important new class of irregular sampling sequences is investigated. The sampling formula...
AbstractThe famous Shannon-Whittaker sampling theorem states that if ƒ(t) = ∝−ππe−itu F(u) du, F ϵ L...
AbstractIt is shown that bandlimited Lp-functions can be reconstructed by sampling series of Lagrang...
AbstractUsing contour integration and a multiplier technique, we establish a sampling theorem with n...
AbstractWe present the sampling theorem with sampling functions of general form for entire functions...
Abstract. For a bandlimited function with polynomial growth on the real line, we derive a nonuniform...
We derive a sampling expansion for bandlimited signals with polynomial growth on the real axis. The ...
Reconstructing a band-limited function from its finite sample data is a fundamental task in signal a...
Sampling theorems for bandlimited functions or distributions are obtained by Ž.exploiting the topolo...
The sampling theorem for bandlimited functions allows one to reconstruct exactly a function containi...
AbstractApplying the theory of generalized functions we obtain the Shannon sampling theorem for enti...
Sampling series expansions for functions (signals) that are bandlimited to N-dimensional rectangles ...
Whittaker's sampling theorem is extended to periodic and not necessarily simultaneous sampling of ba...
Sampling series expansions for functions (signals) that are bandlimited to N-dimensional rectangles ...
AbstractSampling series expansions for functions (signals) that are bandlimited to N-dimensional rec...
AbstractAn important new class of irregular sampling sequences is investigated. The sampling formula...
AbstractThe famous Shannon-Whittaker sampling theorem states that if ƒ(t) = ∝−ππe−itu F(u) du, F ϵ L...
AbstractIt is shown that bandlimited Lp-functions can be reconstructed by sampling series of Lagrang...
AbstractUsing contour integration and a multiplier technique, we establish a sampling theorem with n...
AbstractWe present the sampling theorem with sampling functions of general form for entire functions...
Abstract. For a bandlimited function with polynomial growth on the real line, we derive a nonuniform...
We derive a sampling expansion for bandlimited signals with polynomial growth on the real axis. The ...
Reconstructing a band-limited function from its finite sample data is a fundamental task in signal a...
Sampling theorems for bandlimited functions or distributions are obtained by Ž.exploiting the topolo...
The sampling theorem for bandlimited functions allows one to reconstruct exactly a function containi...
AbstractApplying the theory of generalized functions we obtain the Shannon sampling theorem for enti...
Sampling series expansions for functions (signals) that are bandlimited to N-dimensional rectangles ...
Whittaker's sampling theorem is extended to periodic and not necessarily simultaneous sampling of ba...
Sampling series expansions for functions (signals) that are bandlimited to N-dimensional rectangles ...
AbstractSampling series expansions for functions (signals) that are bandlimited to N-dimensional rec...
AbstractAn important new class of irregular sampling sequences is investigated. The sampling formula...
AbstractThe famous Shannon-Whittaker sampling theorem states that if ƒ(t) = ∝−ππe−itu F(u) du, F ϵ L...
AbstractIt is shown that bandlimited Lp-functions can be reconstructed by sampling series of Lagrang...
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