7 papers
Comment on "Affine density, von Neumann dimension and a problem of Perelomov"
José Luis Romero
We point out that the main theorem of Ref2 := [Adv. Math. 407, Article ID 108564, 22 p. (2022)] is included in the prior research survey Ref1 := [Expo. Math., 40(2), 265-301, 2022]…
Sign retrieval in shift-invariant spaces with totally positive generator
José Luis Romero
We show that a real-valued function in the shift-invariant space generated by a totally positive function of Gaussian type is uniquely determined, up to a sign, by its absolute…
Sampling the flow of a bandlimited function
Akram Aldroubi, Karlheinz Gröchenig, Longxiu Huang +3
We analyze the problem of reconstruction of a bandlimited function from the space-time samples of its states resulting from the convolution with a kernel .…
Multiple sampling and interpolation in weighted Fock spaces of entire functions
Luis Alberto Escudero, Antti Haimi, José Luis Romero
We characterize sampling and interpolating sets with derivatives in weighted Fock spaces on the complex plane in terms of their weighted Beurling densities.
Strict density inequalities for sampling and interpolation in weighted spaces of holomorphic functions
Karlheinz Gröchenig, Antti Haimi, Joaquim Ortega-Cerdà +1
Answering a question of Lindholm, we prove strict density inequalities for sampling and interpolation in Fock spaces of entire functions in several complex variables defined by a p…
Filtering with Wavelet Zeros and Gaussian Analytic Functions
Luis Daniel Abreu, Antti Haimi, Günther Koliander +1
We present the continuous wavelet transform (WT) of white Gaussian noise and establish a connection to the theory of Gaussian analytic functions. Based on this connection, we propo…