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  1. Journal of Fourier Analysis and Applications
  2. Journal of Fourier Analysis and Applications : Volume 18
  3. Journal of Fourier Analysis and Applications : Volume 18, Issue 1, February 2012
  4. Cardinal Interpolation with Gaussian Kernels
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Journal of Fourier Analysis and Applications : Volume 23
Journal of Fourier Analysis and Applications : Volume 22
Journal of Fourier Analysis and Applications : Volume 21
Journal of Fourier Analysis and Applications : Volume 20
Journal of Fourier Analysis and Applications : Volume 19
Journal of Fourier Analysis and Applications : Volume 18
Journal of Fourier Analysis and Applications : Volume 18, Issue 6, December 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 5, October 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 4, August 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 3, June 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 2, April 2012
Journal of Fourier Analysis and Applications : Volume 18, Issue 1, February 2012
Random Tight Frames
Periodicity of the Spectrum of a Finite Union of Intervals
Fourier Series with the Continuous Primitive Integral
Optimally Space Localized Polynomials with Applications in Signal Processing
Cardinal Interpolation with Gaussian Kernels
Compactly Supported Frames for Decomposition Spaces
Spectral Conditions for Strong Local Nondeterminism and Exact Hausdorff Measure of Ranges of Gaussian Random Fields
On the Representation of Functions with Gaussian Wave Packets
Concentration Problems for Bandpass Filters in Communication Theory over Disjoint Frequency Intervals and Numerical Solutions
Journal of Fourier Analysis and Applications : Volume 17
Journal of Fourier Analysis and Applications : Volume 16
Journal of Fourier Analysis and Applications : Volume 15
Journal of Fourier Analysis and Applications : Volume 14
Journal of Fourier Analysis and Applications : Volume 13
Journal of Fourier Analysis and Applications : Volume 12
Journal of Fourier Analysis and Applications : Volume 11
Journal of Fourier Analysis and Applications : Volume 10
Journal of Fourier Analysis and Applications : Volume 9
Journal of Fourier Analysis and Applications : Volume 8
Journal of Fourier Analysis and Applications : Volume 7
Journal of Fourier Analysis and Applications : Volume 6
Journal of Fourier Analysis and Applications : Volume 5
Journal of Fourier Analysis and Applications : Volume 4
Journal of Fourier Analysis and Applications : Volume 3

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Cardinal Interpolation with Gaussian Kernels

Content Provider SpringerLink
Author Narcowich, F. Hangelbroek, T. Madych, W. Ward, J. D.
Copyright Year 2011
Abstract In this paper, interpolation by scaled multi-integer translates of Gaussian kernels is studied. The main result establishes L p Sobolev error estimates and shows that the error is controlled by the L p multiplier norm of a Fourier multiplier closely related to the cardinal interpolant, and comparable to the Hilbert transform. Consequently, its multiplier norm is bounded independent of the grid spacing when 1
Ending Page 86
Page Count 20
Starting Page 67
File Format PDF
ISSN 10695869
e-ISSN 15315851
Journal Journal of Fourier Analysis and Applications
Issue Number 1
Volume Number 18
Language English
Publisher SP Birkhäuser Verlag Boston
Publisher Date 2011-06-30
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Radial basis functions Multipliers Signal, Image and Speech Processing Shift-invariant spaces Spline approximation Multidimensional problems (should also be assigned at least one other classification number in this section) Gaussians Abstract Harmonic Analysis Interpolation Mathematical Methods in Physics Fourier Analysis Approximations and Expansions Rate of convergence, degree of approximation Partial Differential Equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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