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Bergman spaces, by Peter Duren and Alex Schuster, Mathematical
Jan 12, 2005 ... Bergman spaces, by Peter Duren and Alex Schuster, Mathematical Surveys and. Monographs, vol. 100, American Mathematical Society, Providence, RI, 2004, x+ 318 pp., $79.00, ISBN 0-8218-0810-9. 1. Hilbert spaces of holomorphic functions. A holomorphic function f defined in the D, the unit disk of the ...
Interpolating sequences in spaces with the complete Pick property
Jan 17, 2017 ... space. Furthermore, we investigate interpolating sequences for pairs of Hilbert function spaces. 1 Introduction. Let H be a reproducing kernel Hilbert space ...... Interpolation and sampling in spaces of analytic functions, University Lecture. Series, vol. 33, American Mathematical Society, Providence, RI, 2004.
The Cauchy Transform
K. Seip, Interpolation and sampling in spaces of analytic functions, University Lecture Series, vol. 33, American Mathematical Society, Providence, RI, 2004. MR 2040080 (2005c:30038). 192. H. S. Shapiro, Some observations concerning weighted polynomial approximation of holo- morphic functions, Mat. Sb. (N.S.) 73 ...
Some Hilbert Spaces related with the Dirichlet space
May 18, 2016 ... [S] Seip, Kristian Interpolation and sampling in spaces of analytic functions. University Lecture Series, 33. American Mathematical Society, Providence, RI, 2004. xii+139 pp. ISBN: 0-8218-3554-8. Universit`a di Bologna, Dipartimento di Matematica, Piazza di Porta S.Donato 5, Bologna. E-mail address: ...
Interpolation and sampling for analytic selfmappings of the disc
Jul 29, 2014 ... Let H∞ be the space of bounded analytic functions in the open unit disc. D of the complex plane, and let U be the set of ... Carleson proved that {zn} is an interpolating sequence if and only if. {zn} is a separated sequence and there ...... in spaces of analytic functions, vol- ume 33 of University Lecture Series.
arXiv:math/0507533v1 [math.CA] 26 Jul 2005
Jul 26, 2005 ... Interpolation and sampling in spaces of analytic functions, University Lecture Series, vol. 33,. American Mathematical Society, Providence, RI, 2004. MR MR2040080 (2005c:30038). [Zyg77] A. Zygmund, Trigonometric series. Vol. I, II, Cambridge University Press, Cambridge, 1977, Reprinting of the 1968 ...
arXiv:math/0509178v1 [math.FA] 8 Sep 2005
Sep 8, 2005 ... exponential type, spaces of bandlimited functions are often called Paley-Wiener spaces. In this paper, we adapt the point of view that the sampling theorem is a phenomenon in harmonic analysis; the search for generalizations of the cardinal series in (nonabelian) locally compact groups is an interesting ...
Some Hilbert spaces related with the Dirichlet space
7, 2077-. 2081. [7] D. H. Luecking, Representation and duality in weighted spaces of analytic functions, Indiana Univ. Math. J. 34 (1985), no. 2, 319-. 336. [8] K. Seip, Interpolation and sampling in spaces of analytic functions, University Lecture Series, 33 (American Mathematical Society,. Providence, RI, 2004), xii+ 139 pp.
Greedy Algorithms and Rational Approximation in One and Several
Dec 21, 2016 ... [38] K. Seip,Interpolation and sampling in spaces of analytic functions. University Lecture Series, vol.33,. American Mathematical Society, Providence, RI, 2004. [ 39] F. Seyfert and M. Oldoni and M. Olivi and S. Lefteriu and D. Pacaud, Deembedding of filters in multi- plexers via rational approximation and ...
On Interpolation in the Class of Analytic Functions in the Unit Disk
Keywords: interpolation, holomorphic functions, the Nevanlinna characteristic, Stolz angles. Introduction ... unit disk D if and only if the series converges: +∞. ∑ ..... 83(1961), 513–532. [7] K.Seip, Interpolation and sampling in spaces of analytic functions, University Lecture. Series, Amer. Math. Soc., Providence, 33( 2004).
Sturm–Liouville problem and I–Bessel sampling
Department of Mathematics, University of Osijek, Trg Lj. Gaja 6, 31000 Osijek, ... ometric function 2F3, Fox-Wright generalized hypergeometric function pΨ. ∗ q, sampling series truncation error upper bound. 1 Introduction and motivation ...... [ 22] K. SEIP, Interpolation and sampling in spaces of analytic functions, Univer-.
Bo Berndtsson; list of publications.
[5] *Integral formulas for the ∂¯∂-equation and zeros of bounded holomorphic functions in the ball. Math Ann 249 (1980) ... [8] An L∞-estimate for the ¯∂- equation in the ball. research report University of Göte- borg (1984) ... [25] On interpolation and sampling in Hilbert spaces of analytic functions.(with J Ortega). J Reine ...
Sampling and interpolation in Bargmann-Fock spaces of
Dec 2, 2009 ... space of polyanalytic functions or, equivalently, of all lattice vector-valued Gabor frames and ... super frames, Bargmann transform, frame density, Fock spaces, sampling, interpolation, Nyquist rate, super Gabor ..... mapping Bn we show that the problem is equivalent to the study of vector valued frames with ...
Interpolation schemes in weighted Bergman spaces
Dec 1, 2014 ... the space of holomorphic functions on G and Lp(G) = Lp(G, dA) the usual Lebesgue space of measurable ... general weighted Bergman spaces, and as a consequence to extend the results of [5] to p = 2. ...... [6] Kristien Seip, Interpolation and Sampling in Function Spaces, AMS University Lecture Series, 33,.
Weighted interpolation from certain singular affine hypersurfaces
Aug 26, 2014 ... Abstract. We prove that square integrable holomorphic functions (with respect to a plurisubharmonic ... that Γ is a set of interpolation for the generalized Bargmann -Fock space if and only if ..... [BO-1995] Berndtsson, B.; Ortega Cerd`a, J., On interpolation and sampling in Hilbert spaces of analytic functions.
AN INVITATION TO THE DRURY-ARVESON SPACE (i) The
the Hardy space. Its reproducing kernel reflects the invariant geometry of the unit ball in a subtle way. (i) The holomorphic Hardy space. The holomorphic Hardy ...... [17] Seip, Kristian Interpolation and sampling in spaces of analytic functions. University Lecture. Series, 33. American Mathematical Society, Providence, RI, ...
1. Introduction
Feb 3, 2009 ... SAMPLING AND INTERPOLATION IN THE. BARGMANN-FOCK SPACE OF POLYANALYTIC. FUNCTIONS. LUIS DANIEL ABREU. Abstract: We give a ... per frames, Bargmann transform, poly-Fock spaces, sampling, density conditions . 1. ..... As a result, the polyanalytic F has a power series expansion.
Discrete Uniqueness Sets for Functions with Spectral Gaps
Sep 15, 2016 ... sets S with randomly distributed gaps, we show that the uniformly discrete sets Λ satisfy a strong non-uniqueness property: Every discrete function c(λ) ∈ l2(Λ) can be interpolated by an analytic L2-function with spectrum in S. 1 Introduction. Paley-Wiener Space. We will use the standard form of the Fourier ...
Minimality and (weighted) interpolation in Paley–Wiener spaces
Apr 20, 2014 ... show that the Carleson condition on a sequence Λ together with mini- mality in Paley–Wiener spaces PWp ... Interpolation, Paley–Wiener spaces, Minimal sequences,. Upper uniform density. 1. Introduction. Let X be a Banach space of analytic functions on a domain. Ω for which the evaluation f ↦→ f(z) is ...
Polynomial Methods in Combinatorics
UNIVERSITY LECTURE SERIES VOLUME 64. American Mathematical Society ... Description: Providence, Rhode Island : American Mathematical Society, [2016] | Series: Univer- sity lecture series ; volume 64 ..... 33 Kristian Seip, Interpolation and Sampling in Spaces of Analytic Functions, 2004. 32 Paul B. Larson, The ...