Results 1 to 10 of about 2,024 (219)
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
On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform
Axioms, 2023 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
doaj +3 more sources
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 $p_η$, transforms the wavefunction via a Mellin transform on to the critial line $s=1/2-ip_η$.
Twamley, J., Milburn, G. J.
openaire +5 more sources
Mellin-Fourier series and the classical Mellin transform
Computers & Mathematics with Applications, 2000 This is a continuation of the authors' work [J. Fourier Anal. Appl. 3, No. 4, 325-376 (1997; Zbl 0885.44004)]. Starting from the finite Mellin transformation which defines the Mellin-Fourier coefficients, they carry out a direct development of the Mellin-Fourier series, quite independent of the usual Fourier theory.
Butzer, P.L., Jansche, S.
openaire +2 more sources
Mellin Transform of Dirichlet L-Functions with Primitive Character
Mathematical Modelling and Analysis, 2014 In the paper, meromorphic continuation for the modified Mellin transform of Dirichlet L-functions with primitive character is obtained.
Aidas Balčiūnas, Darius Šiaučiūnas
doaj +3 more sources
A direct approach to the mellin transform
Journal of Fourier Analysis and Applications, 1997 The authors describe a systematic historical survey of the well-known Mellin transform and present a new approach to the Mellin transform that is fully independent of Laplace or Fourier transform theory in a unified form containing basic properties and major results under natural, minimal hypotheses upon the functions involved therein. The basis of the
Paul L Butzer, Butzer Paul L
exaly +2 more sources
Note on fractional Mellin transform and applications. [PDF]
Springerplus, 2016 In this article, we define the fractional Mellin transform by using Riemann–Liouville fractional integral operator and Caputo fractional derivative of order α≥0 and study some of their properties.
Kılıçman A, Omran M.
europepmc +2 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 \(L_2\).
Schipp, F., Wade, W.R.
openaire +2 more sources
The symmetric Mellin transform in quantum calculus
Le Matematiche, 2015 In this paper, we define the q-analogue of Mellin Transform symmetric under interchange of q and 1/q, and present some of its main properties and explore the possibility of using the integral transform to solve a class of differential equations q ...
Brahim Kamel Brahim +2 more
doaj +2 more sources
The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform
Mathematics, 2023 In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform.
Fethi Bouzeffour
doaj +1 more source