Weighted Paley-Wiener spaces
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Publication:4544953
DOI10.1090/S0894-0347-02-00397-1zbMath1017.46018MaRDI QIDQ4544953
Kristian Seip, Yurij I. Lyubarskij
Publication date: 7 August 2002
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Special classes of entire functions of one complex variable and growth estimates (30D15)
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Weighted Paley–Wiener spaces sharing a majorant-weight ⋮ Symmetry in de Branges almost Pontryagin spaces ⋮ Sampling and interpolation in de Branges spaces with doubling phase ⋮ Perturbed interpolation formulae and applications ⋮ Boris Pavlov and bases, as I remember them ⋮ Sampling in Paley-Wiener spaces on combinatorial graphs ⋮ Estimates of the \(L^p\)-norms of derivatives in spaces of entire functions ⋮ Continuous and discrete Fourier frames for fractal measures ⋮ Sampling in de Branges spaces and Naimark dilation ⋮ The expansion of a semigroup and a Riesz basis criterion ⋮ Frames, Riesz bases, and sampling expansions in Banach spaces via semi-inner products ⋮ De Branges spaces and Fock spaces ⋮ Gap probabilities for the cardinal sine ⋮ Unconditional reproducing kernel bases in de Branges spaces ⋮ Variational splines and Paley-Wiener spaces on Combinatorial graphs ⋮ UNCONDITIONAL BASES OF SYSTEMS OF BESSEL FUNCTIONS ⋮ Model functions with nearly prescribed modulus ⋮ Mean convergence of entire interpolations in weighted space ⋮ Universality limits for random matrices and de Branges spaces of entire functions ⋮ Complete interpolating sequences for small Fock spaces ⋮ Interpolation formulas with derivatives in de Branges spaces ⋮ Investigations on linear operators and function theory. Part 31. ⋮ Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series
Cites Work
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- The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
- Sampling and interpolation in the Paley-Wiener spaces \(L_\pi^p\), \(0< p\leq 1\)
- Multipliers for entire functions and an interpolation problem of Beurling
- Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's \((A_p)\) condition
- Fourier frames
- Trace ideal criteria for Toeplitz and Hankel operators on the weighted Bergman spaces with exponential type weights
- On Fourier transforms of measures with compact support
- Weighted approximations by polynomials
- Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
- Bergman kernel asymptotics for generalized Fock spaces
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