Continuous Extension of Functions from a Segment to Functions in $\mathbb{R}^n$ with Zero Ball Means-Reference-Cited by-同舟云学术

Continuous Extension of Functions from a Segment to Functions in $\mathbb{R}^n$ with Zero Ball Means

Published:2021-03 Issue:3 Volume:65 Page:1-11
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Volchkov V. V.,Volchkov Vit. V.

Publisher

Allerton Press

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.3103/S1066369X21030014.pdf

Reference29 articles.

1. Pompeiu, D. “Sur une propriété intégrale de fonctions de deux variables réeles”, Bull. Sci. Acad. Royale Belgique. Sér. 5 15, 265–269 (1929).

2. Chakalov, L. “Sur un problème de D. Pompeiu”, Annuaire [Godišnik] Univ. Sofia Fac. Phys.-Math., Liv. 1 40, 1–14 (1944).

3. Radon, J. “Über die Bestimmung von Funktionen durch ihre Integralwerte längs gewisser Mannigfaltigkeiten”, Ber. Verh. Sächs. Akad. Wiss. Leipzig. Math.-Nat. Kl. 69, 262–277 (1917).

4. Volchkov, V.V., Volchkov Vit.V. Offbeat Integral Geometry on Symmetric Spaces (Birkhäuser, Basel, 2013).

5. Zalcman, L. “A bibliographic survey of the Pompeiu problem” (in: Approx. by solut. of part. diff. equat., pp. 185–194 (Kluwer Academic Publishers, Dordrecht, 1992)).

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