Abstract
Let f be a continuous function on R n. If f has zero integral over the intersection of every sphere with a given subset A of R n and A lies in no affine plane of dimension n-2, then f vanishes identically. The condition on the dimension of A is sharp.
| Original language | English |
|---|---|
| Pages (from-to) | 597-605 |
| Number of pages | 9 |
| Journal | Siberian Mathematical Journal |
| Volume | 45 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2004 |
Bibliographical note
Funding Information:pp. 723–733, July–August, 2004. Original article submitted March 30, 2004. 0037-4466/04/4504–0597 ©c 2004 Plenum Publishing Corporation The authors were supported by the Israel Scientific Foundation (Grant 279/02–01). Dedicated to the 75th birthday of Professor Yu. G. Reshetnyak.
Funding
pp. 723–733, July–August, 2004. Original article submitted March 30, 2004. 0037-4466/04/4504–0597 ©c 2004 Plenum Publishing Corporation The authors were supported by the Israel Scientific Foundation (Grant 279/02–01). Dedicated to the 75th birthday of Professor Yu. G. Reshetnyak.
| Funders | Funder number |
|---|---|
| Israel Science Foundation | 279/02–01 |
Keywords
- dependence domain
- spherical mean
- wave equation