This article is cited in 3 papers

Extremal problems on Pompeiu sets. II

V. V. Volchkov

Donetsk National University

Abstract: A solution of the local Pompeiu problem is obtained for functions with vanishing integrals over parallelepipeds lying in a fixed ball.

UDC: 517.5

MSC: Primary 26B15, 53C65; Secondary 30E20

Received: 15.09.1998

DOI: 10.4213/sm474

 English version: Sbornik: Mathematics, 2000, 191:5, 619–632

Bibliographic databases:

• 
• 
• 
•