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Polar-analytic functions: old and new results, applications - MaRDI portal

Polar-analytic functions: old and new results, applications (Q2668181)

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scientific article

Language	Label	Description	Also known as
English	Polar-analytic functions: old and new results, applications	scientific article

Statements

scholarly article

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Polar-analytic functions: old and new results, applications (English)

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Ilaria Mantellini

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Gerhard Schmeisser

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Results in Mathematics

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publication date

3 March 2022

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zbMATH Keywords

polar-analytic functions

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Cauchy's integral formula

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Morera's theorem

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Taylor's expansion

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00025-021-01471-w

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On the Paley-Wiener theorem in the Mellin transform setting

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A fresh approach to the Paley–Wiener theorem for Mellin transforms and the Mellin–Hardy spaces

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A generalization of the Paley-Wiener theorem for Mellin transforms and metric characterization of function spaces

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Quadrature formulae for the positive real axis in the setting of Mellin analysis: sharp error estimates in terms of the Mellin distance

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Development of a new concept of polar analytic functions useful in Mellin analysis

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Integration of polar-analytic functions and applications to Boas' differentiation formula and Bernstein's inequality in Mellin setting

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Valiron's interpolation formula and a derivative sampling formula in the Mellin setting acquired via polar-analytic functions

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Exponential-sampling method for Laplace and other dilationally invariant transforms: II. Examples in photon correlation spectroscopy and Fraunhofer diffraction

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A direct approach to the Mellin transform

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A self-contained approach to mellin transform analysis for square integrable functions; applications

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Basic relations valid for the Bernstein space \(B^{p}_{\sigma}\) and their extensions to functions from larger spaces with error estimates in terms of their distances from \(B^{p}_{\sigma}\)

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The Dirichlet problem in the plane with semianalytic raw data, quasi analyticity, and o-minimal structure

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Paley-Wiener theorems for the Mellin transformation

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Between the Paley-Wiener theorem and the Bochner tube theorem

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New type Paley-Wiener theorems for the modified multidimensional Mellin transform

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00025-021-01471-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:2668181

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