View Proposal #258
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| ID | 258 |
|---|---|
| First Name | Eugene |
| Last Name | Herman |
| Institution | Grinnell College |
| Speaker Category | retired |
| Title of Talk | Hankel Operators and Combinatorial Identities |
| Abstract | We show that every bounded Hankel operator H on the Hilbert space of square-summable sequences can be factored as H = MM^*, where M maps a space of square-integrable functions to their corresponding moment sequences. By expanding these functions in a Fourier series of orthogonal polynomials, we obtain identities that connect the entries of the Hankel matrices with the orthogonal polynomials. |
| Subject area(s) | |
| Suitable for undergraduates? | No |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | N |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 9/18/2009 |
| Year | 2009 |