Spectral synthesis on the algebra of Hankel transforms
نویسندگان
چکیده
منابع مشابه
Fast Hankel Transforms
JOHANSEN, H. K., and SORENSEN, K., 1979, Fast Hankel Transforms, Geophysical Prospecting 27, 876-901. Inspired by the linear filter method introduced by D. P. Ghosh in rg7o we have developed a general theory for numerical evaluation of integrals of the Hankel type: m g(r) = Sf(A)hJ,(Ar)dh; v > I. II Replacing the usual sine interpolating function by sinsh (x) = a . sin (xx)/sinh (UTW), where th...
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In this paper we completely characterize compact Toeplitz operators on the harmonic Bergman space. By using this result we establish the short exact sequences associated with the Toeplitz algebra and the Hankel algebra. We show that the Fredholm index of each Fredholm operator in the Toeplitz algebra or the Hankel algebra is zero. 2002 Elsevier Science (USA). All rights reserved.
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Correspondence: homidan@kfupm. edu.sa Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, P. O. Box 119, Saudi Arabia Abstract Hankel operators and Hankel transforms are required in a number of applications. This article proves a number of theorems that efficiently and accurately approximates a function using Hankel transforms and Hankel sum....
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Asymptotic behavior of the integral '((w) = r e-"%(wx)f(x2)xdx is investigated, where J0(x) is the Bessel function of the first kind and w is a large positive parameter. It is shown that IAw) decays exponentially like e~y"' , y > 0, when/(z) is an entire function subject to a suitable growth condition. A complete asymptotic expansion is obtained when /( z ) is a meromorphic function satisfying ...
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Many standard conversion matrices between coefficients in classical orthogonal polynomial expansions can be decomposed using diagonally-scaled Hadamard products involving Toeplitz and Hankel matrices. This allows us to derive O(N(logN)) algorithms, based on the fast Fourier transform, for converting coefficients of a degree N polynomial in one polynomial basis to coefficients in another. Numeri...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1987
ISSN: 0025-5645
DOI: 10.2969/jmsj/03930499