Results 201 to 210 of about 16,055 (246)

Multipliers for the Mellin Transformation

Canadian Mathematical Bulletin, 1978
AbstractIn this paper we generalize the Mellin multiplier theorem we proved earlier [8] to spaces with quite general weights, satisfying an Ap-type condition. Applications are made to the Hilbert transformation.
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Mellin Distributions and the Mellin Transformation

1992
The Fourier transform Fσ of a function σ ∈ S\(\left( {{{\mathbb{R}}^{n}}} \right)\) is defined by $$\mathcal{F}\sigma \left( \xi \right) = {{\left( {2\pi } \right)}^{{ - \tfrac{n}{2}}}}\int_{{{{\mathbb{R}}^{n}}}} {{{e}^{{ - ix\xi }}}\sigma \left( x \right)dx{\text{ for }}\xi \in {{\mathbb{R}}^{n}}}$$ . The transformation F is an isomorphism of S
Bogdan Ziemian, Zofia Szmydt
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A Mellin transform summation technique [PDF]

Journal of Physics A: Mathematical and General, 1987
The authors show how a general method based on the Mellin transform can be used to regularize various divergent sums which are of interest for applications to physics. The method yields an asymptotic expansion for Tr(exp(-At)) as \(t\to +0\), where A is a positive operator with discrete spectrum. By way of example the method is applied to the Laplacian
Danny Birmingham, Siddhartha Sen
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The Mellin Transform

2009
Generally speaking, unlike the Fourier and Laplace transforms, we find that the Mellin transform is not very useful in a direct manner. It is quite effective, however, in the derivation of certain properties of integrals, in summing series, and in statistics.
Larry C. Andrews, Bhimsen K. Shivamoggi
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Hypergeometric Mellin transforms

Mathematical Proceedings of the Cambridge Philosophical Society, 1955
The Mellin transforms of generalized hypergeometric functions are discussed in this paper, and it is shown how some of the most general integrals of the Mellin type can be deduced from them. Four general theorems are considered and a number of special cases are given in detail.
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Mellin transform of CPMG data

Journal of Magnetic Resonance, 2010
This paper describes a new method for computing moments of the transverse relaxation time T(2) from measured CPMG data. This new method is based on Mellin transform of the measured data and its time-derivatives. The Mellin transform can also be used to compute the cumulant generating function of lnT(2).
Fred K. Gruber, Denise E. Freed, Tarek M. Habashy, Lalitha Venkataramanan   +3 more
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Mellin Transforms in Summation

1978
Suppose we wish to evaluate the sum $$ S = \sum\limits_{n = 1}^\infty {f(n)} $$ (1) .
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On the Asymptotic Expansion of Mellin Transforms

SIAM Journal on Mathematical Analysis, 1987
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Naylor Transforms of Mellin Type

SIAM Journal on Mathematical Analysis, 1973
Some transforms introduced by Naylor (1963) are characterized in terms of Mellin transforms. This facilitates the analysis of transform properties. A problem of steady-state heat in a finite circular sector (or wedge) is considered to illustrate the use of one of the transforms and its properties.
W. J. Harrington, K. A. Patel
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The Mellin central projection transform

ANZIAM Journal, 2017
The central projection transform can be employed to extract invariant features by combining contour-based and region-based methods. However, the central projection transform only considers the accumulation of the pixels along the radial direction. Consequently, information along the radial direction is inevitably lost.
JIANWEI YANG, LIANG ZHANG, ZHENGDA LU
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