Extension of Three Theorems of Fourier Series on the Disc to the Torus.
Abstract
The author extends three well-known facts of Fourier series on the disc to Fourier series on the torus, a theorem of Riesz, a theorem of Szego, and the fact that any function in H sub 1 can be factored as the product of two functions in H sub 2. Here the role of negative integers is played by the lattice points in the third quadrant. In earlier extensions of these theorems this role was played by half-planes. Additional keywords: stochastic processes; stationary fields; measures on torus; Fourier coefficients; factorization theorem. (Author).
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1984
- Accession Number
- ADA153017
Entities
People
- A. Miamee
Organizations
- University of North Carolina at Chapel Hill