Integral representation formulas on analytic varieties

Telemachos E. Hatziafratis

Vol. 123 (1986), No. 1, 71–91

DOI: 10.2140/pjm.1986.123.71

Abstract

Integral representation formulas for holomorphic functions on analytic subvarieties of domains of Cⁿ are derived. These formulas generalize the Cauchy-Fantappiè formula and the Weil formula for analytic polyhedra. The kernels we obtain are explicitly defined.

Mathematical Subject Classification 2000

Primary: 32A25

Secondary: 32A40

Milestones

Received: 28 December 1984

Revised: 20 June 1985

Published: 1 May 1986