Projects per year
Given a periodic function f , we study the almost everywhere and norm convergence of series∑∞ k=1 c k f (kx). As the classical theory shows, the behavior of such series is determined by a combination of analytic and number theoretic factors, but precise results exist only in a few special cases. In this paper, we use connections with orthogonal function theory and greatest common divisor sums to prove several new results and improve old ones, and also to simplify and unify the theory.
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)
FingerprintDive into the research topics of 'On series of dilated functions'. Together they form a unique fingerprint.
- 1 Finished
1/01/06 → 31/07/12
Project: Research project