Recovery of the values of harmonic functions at a point from their values at other points

S. N. Kudryavtsev


Abstract: The problem of recovering the values of harmonic functions of a certain class at a fixed point from their values at a prescribed collection of points is considered. Relations are obtained for determining best accuracy of recovery and for finding a unique linear method among best recoveries.

UDC: 517.5

MSC: 31B05

Received: 29.08.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 78:2, 397–410

Bibliographic databases:

• 
• 
•