RECOVERING THE LAPLACIAN FROM CENTERED MEANS ON BALLS AND SPHERES OF FIXED RADIUS

Various issues related to restrictions on radii in meanvalue formulas are well-known in the theory of harmonic functions. In particular, using the Brown-Schreiber-Taylor theorem on spectral synthesis for motion-invariant subspaces in 𝐶(R^𝑛), one can obtain the following strengthening of the classi...

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Bibliographic Details
Main Authors: N. P. Volchkova, Vit. V. Volchkov
Format: Article
Language:English
Published: Petrozavodsk State University 2023-01-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=13290&lang=ru