Irreducibility of certain entire functions with applications to harmonic analysis

DOI10.2307/1971188zbMath0402.32002OpenAlexW2316662029MaRDI QIDQ1255608

W. A. Squires, B. Alan Taylor, Lee A. Rubel

Publication date: 1978

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971188

zbMATH Keywords

ConvolutionFourier TransformEntire FunctionsIrreducible Entire FunctionTest Functions

Mathematics Subject Classification ID

Entire functions of one complex variable (general theory) (30D20) Harmonic analysis in several variables (42B99) Convolution, factorization for one variable harmonic analysis (42A85) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Entire functions of several complex variables (32A15)

Related Items (18)

Irreducibility results for separated variables equations ⋮ Factoring an entire function into two `almost equal' functions ⋮ Factoring Fourier Transforms with Zeros in a Strip ⋮ Construction d'hypersurfaces irréductibles avec lieu singulier donné dans \(\mathbb{C}^n\) ⋮ On the factorization and the zeros of Fourier transforms of infinitely differentiable functions with compact support ⋮ On difference polynomials and hereditarily irreducible polynomials ⋮ Convolution on distribution spaces characterized by regularization ⋮ Factorization in Denjoy-Carleman classes associated to representations of \((\mathbb{R}^d, +)\) ⋮ Analytic factorization of Lie group representations ⋮ New distribution spaces associated to translation-invariant Banach spaces ⋮ Discrete analysis in commutative rings ⋮ The characterization of differential operators by locality: abstract derivations ⋮ On convolvability conditions for distributions ⋮ Unnamed Item ⋮ On the convolution in the gel'fand-shilov spaces ⋮ Generalized vector valued almost periodic and ergodic distributions ⋮ Phase reconstruction from magnitude of band-limited multidimensional signals ⋮ Zur Faltung von Distributionen. (On convolution of distributions)

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