Mellin transforms of power-constructible functions

Raf Cluckers, Georges Comte, Jean-Philippe Rolin, Tamara Servi

Type: Article

Publication Date: 2024-11-20

Citations: 2

DOI: https://doi.org/10.1016/j.aim.2024.110025

View Publication

Locations

Advances in Mathematics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Mellin Transforms of Multivariate Rational Functions	2011	Lisa M. Nilsson Mikael Passare
+	The Mellin transforms of the Whittaker functions	1984	Daniel Bump
+	Mellin transforms and asymptotics	1995	FlajoletPhilippe GourdonXavier DumasPhilippe
+	Mellin Transforms and Tauberian Theorems	2023
+	Mellin transforms and Fourier-Ramanujan expansions	1986	Dieter Klusch
+	Zeta-functions and Mellin transform	1979	André Weil
+	Functional Equations for Products of Mellin Transforms	2013	George E. Andrews Bruce C. Berndt
+	The Mellin transforms of powers of Z(t)	2012	Aleksandar Ivić
+	Discrete logs and Fourier Coefficients	2005	David Mireles
+	Parametric Fourier and Mellin transforms of power-constructible functions	2024	Raf Cluckers Georges Comte Tamara Servi
+	Parametric Fourier and Mellin transforms of power-constructible functions	2023	Raf Cluckers Georges Comte Tamara Servi
+	Fourier transforms of nonvanishing functions	1940	N. Levinson
+	New applications of the Mellin transform to automorphic L-functions	2024	Laurent Clozel
+	Fourier Transforms of Rational Functions	2008
+ PDF Chat	Fourier series with bounded convolution powers	1979	Charles H. Heiberg
+	The mellin-whittaker integral transform	1986	V. -B. K. Rogov
+	Whittaker Functions and Fourier Coefficients	2018	Philipp Fleig Henrik P. A. Gustafsson Axel Kleinschmidt Daniel Persson
+ PDF Chat	Exponential Transforms and Appell Polynomials	1948	R. P. Boas
+	The Γ-function and Mellin’s Theorem	1973	Hans Rademacher
+	FOURIER TRANSFORMS OF GENERALIZED FUNCTIONS	1964	I. M. Gel'fand Georgiĭ Evgenʹevich Shilov

Works That Cite This (2)

Action	Title	Year	Authors
+	Parametric Fourier and Mellin transforms of power-constructible functions	2024	Raf Cluckers Georges Comte Tamara Servi
+	Parametric Fourier and Mellin transforms of power-constructible functions	2023	Raf Cluckers Georges Comte Tamara Servi

Works Cited by This (24)

Action	Title	Year	Authors
+ PDF Chat	Quasianalytic Denjoy-Carleman classes and o-minimality	2003	Jean-Philippe Rolin Patrick Speissegger A. J. Wilkie
+ PDF Chat	Lipschitz stratification of subanalytic sets	1994	Adam Parusiński
+ PDF Chat	Nature log-analytique du volume des sous-analytiques	2000	G. Comte Jean-Marie Lion Jean-Philippe Rolin
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter
+ PDF Chat	The real field with convergent generalized power series	1998	Lou van den Dries Patrick Speissegger
+	Resolution of singularities, asymptotic expansions of integrals and related phenomena	2010	Michael Greenblatt
+	The Elementary Theory of Restricted Analytic Fields with Exponentiation	1994	Lou van den Dries Angus Macintyre David Marker
+ PDF Chat	Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques	1998	Jean-Marie Lion Jean-Philippe Rolin
+	First order tameness of measures	2012	Tobias Kaiser
+ PDF Chat	Quasi-analytic solutions of analytic ordinary differential equations and o-minimal structures	2007	Jean-Philippe Rolin Fernando Sanz Reinhard Schäfke