##### Department of Mathematics,

University of California San Diego

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### Food For Thought Seminar

## James Pascoe

#### UCSD

## The Hamburger Moment Problem

##### Abstract:

This refers to the following problem. Given a sequence of numbers, when are they the moments of some measure (or distribution if you like to normalize to the case that is known as probability.) That is, given a sequence $(a_n)^{\infty}_{n=0}$ when is there a measure such that $a_n = \int x^n d\mu{x}.$ To solve this problem, we introduce some basic modern analysis, specifically Hilbert space techniques, which were invented early in the last century to solve problems like the Hamburger moment problem.

### October 4, 2012

### 11:00 AM

### AP&M 7321

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