Work

Generalized gaussian bounds for discrete convolution powers

Year: 2020

Type: preprint

Abstract: We prove a uniform generalized gaussian bound for the powers of a discrete convolution operator in one space dimension. Our bound is derived under the assumption that the Fourier transform of the coefficients of the convolution operator is a trigonometric rational function, which generalizes previous results that were restricted to trigonometric polynomials. We also allow the modulus of the Fourier transform to attain its maximum at finitely many points over a period.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2012.09437

Authors: Coulombel, Jean-François, Faye, Grégory

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Centre International de Mathématiques et Informatique de Toulouse

Awards: Numerical boundaries and coupling, Invasion dynamics and non-trivial asymptotics, G4414853111, G4997507351, G6803667113, Centre International de Mathématiques et d'Informatique (de Toulouse)

OpenAlex ID: W4287551572

Cites:

Cited by:

Related to: 10