##### Department of Mathematics,

University of California San Diego

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### Math 248 - Analysis

## Mihai Putinar

#### UC Santa Barbara

## Positivity aspects of the Fantappie transform in C\\^n

##### Abstract:

The main problem addressed in the talk is the characterization of Fantappie transform of positive measures in the unit ball of C\\^n. The analogous real results were obtained by G.M.Henkin and A.A. Shananin, in the line of the classical theorem of Bernstein on the line. I will propose an approach based on Hilbert spaces of analytic functions. This will provide, among other things, a novel proof of Martineau\'s duality theorem. Based on joint work in progress with John McCarthy.

Host: Peter Ebenfelt

### October 21, 2003

### 10:30 AM

### AP&M 6218

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