Results 1 to 10 of about 16,079 (204)
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
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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
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Motivic Mellin transforms [PDF]
This work brings Mellin transforms into the realm of motivic integration. The new, larger class of motivic functions is stable under motivic Mellin and Fourier transforms, with general Fubini results and change of variables formulas. It specializes to $p$-adic integrals and $p$-adic Mellin transforms uniformly in $p$, with transfer principles between ...
Raf Cluckers +3 more
openalex +3 more sources
Renormalization and Mellin Transforms [PDF]
, 2013 We study renormalization in a kinetic scheme using the Hopf algebraic framework, first summarizing and recovering known results in this setting. Then we give a direct combinatorial description of renormalized amplitudes in terms of Mellin transform coefficients, featuring the universal property of rooted trees H_R.
Kreimer, Dirk, Panzer, Erik
openaire +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 +3 more sources
On certain non-unique solutions of the Stieltjes moment problem [PDF]
, 2009 We construct explicit solutions of a number of Stieltjes moment problems based on moments of the form (2rn)! and [(rn)!]2. It is shown using criteria for uniqueness and non-uniqueness (Carleman, Krein, Berg, Pakes, Stoyanov) that for r > 1 both forms ...
Blasiak, Pawel +4 more
core +4 more sources
Towards Spinning Mellin Amplitudes [PDF]
, 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.
Chen, Heng-Yu +2 more
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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.
openaire +3 more sources
Theory of Barnes Beta Distributions [PDF]
, 2013 A new family of probability distributions $\beta_{M, N},$ $M=0\cdots N,$ $N\in\mathbb{N}$ on the unit interval $(0, 1]$ is defined by the Mellin transform.
Ostrovsky, Dmitry
core +1 more source
Stress–singularity analysis in space junctions of thin plates [PDF]
, 2000 The stress singularity in space junctions of thin linearly elastic isotropic plate elements with zero bending rigidities is investigated. The problem for an intersection of infinite wedge-shaped elements is considered first and the solution for each ...
Mikhailov, SE, Namestnikova, IV
core +1 more source