Results 151 to 160 of about 16,079 (204)

g-Mellin Transform

2018 IEEE 16th International Symposium on Intelligent Systems and Informatics (SISY), 2018
© 2018 IEEE. One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined.
Duraković, Nataša, Grbić, Tatjana, Rapajić, Sanja, Medić, Slavica, Buhmiler, Sandra   +4 more
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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
Zofia Szmydt, Bogdan Ziemian
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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).
Lalitha, Venkataramanan, Fred K, Gruber, Tarek M, Habashy, Denise E, Freed   +3 more
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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.
Harrington, W. J., Patel, K. A.
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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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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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Berezin Transform, Mellin Transform and Toeplitz Operators

Complex Analysis and Operator Theory, 2010
Let \(B\) be the Berezin transform associated with the Bergman space. The authors of the article under review improve a theorem of \textit{P. Ahern} [J. Funct. Anal. 215, No. 1, 206--216 (2004; Zbl 1088.47014)]. Namely, they show that, if \(u\in L^1\) and \(Bu\) is a harmonic function, then \(u\) itself is harmonic.
Čučković, Željko, Li, Bo
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Additional Mellin Transforms

2009
This table contains Mellin transforms to supplement the ones at the end of Chap. 1. These are still a small fraction of the transforms that are listed in Marichev (1983). The special functions that are not commonly used are defined in Appendix B. The value of n is an integer in the transforms below.
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