Results 31 to 40 of about 72 (70)
THE DISCRETE WALSH-TYPE TRANSFORM FOR INFINITE SEQUENCES [PDF]
, 2005 . We introduce a set of Walsh-type functions on positive integers and give the inversion formula by using these functions for an infinite sequence of complex numbers whose series converges absolutely.
Online, Japonicae Scientiae Mathematicae
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Some criteria for determining when a Walsh series is a Walsh-Fourier series
, 2004 We show that a general Walsh series is the Walsh-Fourier series of a function ∈ Lp[0,1] for 1 ≤ p 〈 ∞ if and only if its sequence of partial sums contains a relatively weakly compact subsequence. Several other criteria are established for the case where
Alexopoulos, John, Sprague, Emily H.
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An Overview of Wavelet Based Multiresolution Analyses
, 1993 In this paper we give an overview of some wavelet based multiresolution analyses. First, we briefly discuss the continuous wavelet transform in its simplest form.
Björn Jawerth, Wim Sweldens
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Fast Algorithms for Discrete Polynomial Transforms
, 1996 . Consider the Vandermonde--like matrix P := (P k (cos jß N )) N j;k=0 , where the polynomials P k satisfy a three--term recurrence relation. If P k are the Chebyshev polynomials T k , then P coincides with CN+1 := (cos jkß N ) N j;k=0 . This paper
Manfred Tasche +5 more
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On the Norm of the Jacobi-Fourier Projection
, 1997 We extend the results of Pollard [7] and give asymptotic estimates for the norm of the Fourier--Jacobi projection operator in the appropriate weighted L p space.
A. K. Kushpel, J. Levesley
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, 1995 A characterization of multivariate dual wavelet tight frames for any general dilation matrix is presented in this paper. As an application, Lawton's result on wavelet tight frames in L (IR) is generalized to the n-dimensional case.
Bin Han
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BOUNDARY SINGULARITIES OF FABER AND FOURIER SERIES
, 2008 : Given an analytic Jordan curve;,withinterior G and exterior, and given a sequence of complex numbers fang1 n=0 satisfying lim sup n!1 janj 1=n =1,weconsider here three series of the form f(z) = 1X n=0 anPn(z) where the polynomials Pn(z) are chosen to ...
Richard S. Varga, Igor E. Pritsker
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Fast and stable algorithms for discrete spherical Fourier transforms
, 1996 . In this paper, we propose an algorithm for the stable and efficient computation of Fourier expansions of square integrable functions on the unit sphere S ae R 3 , as well as for the evaluation of these Fourier expansions at special knots.
Manfred Tasche +2 more
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Gegenbauer polynomials and semiseparable matrices
, 2007 . In this paper, we develop a new O(n log n) algorithm for converting coefficients between expansions in different families of Gegenbauer polynomials up to a finite degree n.
Jens Keiner
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On the norm of the Fourier projection in weighted L p spaces
, 1997 We extend the results of Pollard [4] and give asymptotic estimates for the norm of the Fourier--ultraspherical projection operator in the appropriate weighted L p space.
A. K. Kushpel, J. Levesley
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