Results 211 to 220 of about 16,180 (243)

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 Transforms in Summation

1978
Suppose we wish to evaluate the sum $$ S = \sum\limits_{n = 1}^\infty {f(n)} $$ (1) .
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The Mellin Transform

2002
In this and the next chapter, we study the Mellin transform, which, while closely related to the Fourier transform, has its own peculiar uses. In particular, it turns out to be a most convenient tool for deriving asymptotic expansions, although it has other applications ...
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Spectrum analysis on Mellin Ttransform and fractional Mellin transform

2011 4th International Congress on Image and Signal Processing, 2011
The differences between Mellin transform and Fourier transform are compared from the aspect of spectrum. Some properties of Mellin transform and fractional Mellin transform are generalized. The period of fractional Mellin transform is also investigated.
Nanrun Zhou, Xiangwu Zuo
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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 transforms and algebraic functions

Integral Transforms and Special Functions, 2015
This paper deals with Mellin–Barnes integral, representing solution to the nth degree algebraic equation. We prove convergence of this integral in the boundary points of its convergence domain. The cases of tetranomial and pentanomial equations are completely studied.
Irina A. Antipova, Tatyana V. Zykova
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The Mellin-wavelet transform

1995 International Conference on Acoustics, Speech, and Signal Processing, 2002
Most machine speech analysis and processing is based on a warped spectral representation. The intent of the paper is to present a method by which proper warped representations can be computed efficiently. In the case of log-warping functions, the methods of the paper produce a wavelet-like transform as a linear convolution of a single log-warped ...
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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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Nonperturbative Mellin amplitudes: existence, properties, applications

Journal of High Energy Physics, 2020
Joao A Silva, João Penedones, Alexander Zhiboedov   +2 more
exaly  

Bootstrapping inflationary correlators in Mellin space

Journal of High Energy Physics, 2020
Charlotte Sleight, Massimo Taronna
exaly