| Autor: |
Volchkova, N. P., Volchkov, Vit. V. |
| Zdroj: |
Siberian Advances in Mathematics; Sep2024, Vol. 34 Issue 3, p249-260, 12p |
| Abstrakt: |
We continue to study the holomorphy problem for functions whose contour integrals over circles vanish. We consider the case in which a function is defined on a deleted ball in (without its center) and integrate over all spheres of two fixed radii inside . For , we find conditions on the radii and size of implying that is a holomorphic function. We also show that these conditions cannot be weakened in the general case. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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