No subtopics of Functional Analysis
- 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
Unions of arcs from Fourier partial sums
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.
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