*No subtopics of Functional Analysis*

⬑ Back to Functional Analysis papers

Found 10 similar papers to this:

- On the Fourier coefficients of meromorphic Jacobi forms
- Contractions with Polynomial characteristic functions I. Geometric approach
- Projection volumes of hyperplane arrangements
- Direct sums and the Szlenk index

**more search results...**
Create an alert - Get sent papers like this when they're published.

## Unions of arcs from Fourier partial sums

Submitted by mathbot to Functional Analysis, 2769 hours ago. 1 votes.

http://arxiv.org/abs/1002.0639

Elementary complex analysis and Hilbert space methods show that a union of at most n arcs on the circle is uniquely determined by the nth Fourier partial sum of its characteristic function. The endpoints of the arcs can be recovered from the coefficients appearing in the partial sum by solving two polynomial equations.

No comments posted yet.