Results 131 to 140 of about 612 (181)

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.
Slavica Medic, Sanja Rapajic
exaly   +2 more sources

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
openaire   +1 more source

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.
openaire   +1 more source

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 ...
openaire   +1 more source

A fast Mellin transformation

J. Inf. Process. Cybern., 1984
A fast algorithm of the Mellin transform is proposed. Its process consists of two steps: (1) Discrete Fourier Transformation (DFT) based on sampling through a symmetric window, (2) Multiplication of DFT coefficients by pre-calculated Mellin transforms of the Fourier basis functions. The pre-calculation is related to the incomplete gamma function. Thus,
Michael Brill, Gerhard West
openaire   +1 more source

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   +3 more
openaire   +2 more sources

Residue Integrals and their Mellin Transforms

Canadian Journal of Mathematics, 1995
AbstractGiven an almost arbitrary holomorphic map we study the structure of the associated residue integral and its Mellin transform, and the relation between these two objects. More precisely, we relate the limit behaviour of the residue integral to the polar structure of the Mellin transform.
Passare, Mikael, Tsikh, August
openaire   +1 more source

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