Results 11 to 20 of about 596 (185)
Solution of Fractional Order Equations in the Domain of the Mellin Transform
This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
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We define a Mellin amplitude for CFT1 four-point functions. Its analytical properties are inferred from physical requirements on the correlator. We discuss the analytic continuation that is necessary for a fully nonperturbative definition of the Mellin ...
Lorenzo Bianchi +3 more
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Definition of a sensory lexicon and development of sensory wheels of eighteen monovarietal Italian white wines. [PDF]
Abstract BACKGROUND Italy harbors one of the richest grapevine biodiversities worldwide, yet the sensory identity of wines from many native cultivars remains poorly defined despite their relevance on the market at regional, national, or international levels.
Piombino P +17 more
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On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform
In this paper, we consider the modified Mellin transform of the product of the square of the Riemann zeta function and the exponentially decreasing function, and we discuss its probabilistic and approximation properties.
Antanas Laurinčikas
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Mellin Transform-Based Approach for Parameter Estimation of K Distribution Plus Noise
Mellin transform is a fast and robust method for parameter estimation. In this paper, the parameter estimator of K plus noise (KpN) model based on the Mellin transform is proposed.
Kuihua Huang, Chao Chen, Gui Gao
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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 $p_ $, transforms the wavefunction via a Mellin transform on to the critial line $s=1/2-ip_ $.
Twamley, J., Milburn, G. J.
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Mellin Transforms of Whittaker Functions [PDF]
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.
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Towards spinning Mellin amplitudes
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
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The inverse Mellin transform via analytic continuation
We present a method to calculate the x-space expressions of massless or massive operator matrix elements in QCD and QED containing local composite operator insertions, depending on the discrete Mellin index N, directly, without computing the Mellin-space
A. Behring, J. Blümlein, K. Schönwald
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Notes on flat-space limit of AdS/CFT
Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin space, coordinate space, and partial-wave expansion.
Yue-Zhou Li
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