Characterization of ultradifferentiable test functions defined by weight matrices in terms of their Fourier transform [PDF]
, 2016 We prove that functions with compact support in non-quasianalytic classes of Roumieu-type and of Beurling-type defined by a weight matrix with some mild regularity conditions can be characterized by the decay properties of their Fourier transform.
Schindl, Gerhard
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Periodic Tempered Distributions of Beurling Type and Periodic Ultradifferentiable Functions with Arbitrary Support [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 Let Sω′(R) be the space of tempered distributions of Beurling type with test function space Sω(R) and let Eω,p be the space of ultradifferentiable functions with arbitrary support having a period p. We show that Eω,p is generated by Sω(R).
Byung Keun Sohn
doaj +2 more sources
Ultradifferentiable classes of entire functions. [PDF]
Adv Oper Theory, 2023 Nenning DN, Schindl G.
europepmc +3 more sources
Eigenfunction expansions of ultradifferentiable functions and ultradistributions [PDF]
, 2016 In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold $X$.
Dasgupta, Aparajita, Ruzhansky, Michael
core +5 more sources
Nuclear global spaces of ultradifferentiable functions in the matrix weighted setting. [PDF]
Banach J Math Anal, 2021 Boiti C, Jornet D, Oliaro A, Schindl G.
europepmc +3 more sources
Eigenfunction expansions of ultradifferentiable functions and ultradistributions in ℝⁿ [PDF]
, 2016 We obtain a characterization of ${\mathcal S}^{\{M_p\}}_{\{M_p\}}(\mathbb{R}^n)$ and $\mathcal {S}^{(M_p)}_{(M_p)}(\mathbb{R}^n)$, the general Gelfand-Shilov spaces of ultradifferentiable functions of Roumieu and Beurling type, in terms of decay ...
Vindas Diaz, Jasson, Vuckovic, Dorde
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Ultradifferentiable Chevalley theorems and isotropic functions [PDF]
Annali Di Matematica Pura Ed Applicata, 2020 Armin Rainer
exaly +2 more sources
Ultradifferentiable functions via the Laguerre operator [PDF]
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: MatematicasSmiljana Jaksic +2 more
exaly +4 more sources
Extended Gevrey Regularity via Weight Matrices
Axioms, 2022 The main aim of this paper is to compare two recent approaches for investigating the interspace between the union of Gevrey spaces Gt(U) and the space of smooth functions C∞(U). The first approach in the style of Komatsu is based on the properties of two
Nenad Teofanov, Filip Tomić
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Boundary Values in Ultradistribution Spaces Related to Extended Gevrey Regularity
Mathematics, 2020 Following the well-known theory of Beurling and Roumieu ultradistributions, we investigate new spaces of ultradistributions as dual spaces of test functions which correspond to associated functions of logarithmic-type growth at infinity.
Stevan Pilipović +2 more
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