Recovering functions from the spherical mean transform with data on an ellipse using eigenfunction expansion in elliptical coordinates

DOI10.1007/S13324-017-0192-6zbMath1466.44001arXiv1705.05679OpenAlexW2964342275MaRDI QIDQ1999818

Yehonatan Salman

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.05679

zbMATH Keywords

elliptical coordinatesspherical mean transform

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Radon transform (44A12)

Uses Software

• DLMF

Cites Work

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• A series solution and a fast algorithm for the inversion of the spherical mean Radon transform
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