Results 1 to 10 of about 16,055 (246)
The Quantum Mellin transform [PDF]
New Journal of Physics, 2006 We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum ...
Bateman H +15 more
core +6 more sources
A Fast Mellin and Scale Transform [PDF]
EURASIP Journal on Advances in Signal Processing, 2007 A fast algorithm for the discrete-scale (and β-Mellin) transform is proposed. It performs a discrete-time discrete-scale approximation of the continuous-time transform, with subquadratic asymptotic complexity.
Davide Rocchesso, Antonio De Sena
doaj +7 more sources
Towards spinning Mellin amplitudes [PDF]
Nuclear Physics B, 2018 We construct the Mellin representation of four point conformal correlation function with external primary operators with arbitrary integer spacetime spins, and obtain a natural proposal for spinning Mellin amplitudes.
Heng-Yu Chen, En-Jui Kuo, Hideki Kyono
doaj +5 more sources
On the use of Mellin transform to a class of q-difference-differential equations [PDF]
, 2000 We explore the possibility of using the method of classical integral transforms to solve a class of $q$-difference-differential equations. The Laplace and the Mellin transform of $q$-derivatives are derived.
Choon-Lin Ho +7 more
core +2 more sources
The technique of inverse Mellin transform for processes occurring in a background magnetic field [PDF]
, 2002 We develop the technique of inverse Mellin transform for processes occurring in a background magnetic field. We show by analyticity that the energy (momentum) derivatives of a field theory amplitude at the zero energy (momentum) is equal to the Mellin ...
Cutkosky +7 more
core +5 more sources
The distribution of Mahler's measures of reciprocal polynomials
International Journal of Mathematics and Mathematical Sciences, 2004 We study the distribution of Mahler's measures of reciprocal polynomials with complex coefficients and bounded even degree. We discover that the distribution function associated to Mahler's measure restricted to monic reciprocal polynomials is a ...
Christopher D. Sinclair
doaj +4 more sources
Mellin Transforms of Whittaker Functions [PDF]
Canadian Mathematical Bulletin, 2002 AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.
Anton Deitmar
openalex +6 more sources
Wavelet Filtering with the Mellin Transform
Applied Mathematics Letters, 2001 8 pages in Plain ...
Gerald Kaiser
openalex +6 more sources
Mellin Transforms on Binary Fields
Applied and Computational Harmonic Analysis, 2000 Some boundedness and inversion results are proved for a large class of operators on binary fields, i.e., on 2-series and 2-adic fields. As a special case, it is obtained, that the Mellin transform on any binary field can be extended to a bounded linear isometry on \(L_2\).
Ferenc Schipp, William R. Wade
openalex +3 more sources
Mellin transform for fractional integrals with general analytic kernel
AIMS Mathematics, 2022 Many different operators of fractional calculus have been proposed, which can be organized in some general classes of operators. According to this study, the class of fractional integrals and derivatives can be classified into two main categories, that ...
Maliha Rashid +5 more
doaj +2 more sources