On spectrums of certain harmonic functions attached to the Riemann zeta-function

Author: Kamiya, Yuichi

Source: Acta Mathematica Hungarica, Volume 105, Numbers 1-2, October 2004 , pp. 103-114(12)

Publisher: Springer

Abstract:

A. Beurling introduced harmonic functions attached to measurable functions satisfying suitable conditions and defined their spectral sets. The concept of spectral sets is closely related to approximations by trigonometric polynomials. In this paper we consider spectral sets of the harmonic functions attached to the Riemann zeta-function and its modification.

Keywords: Riemann zeta-function; spectral set

Document Type: Research article

DOI: 10.1023/B:AMHU.0000045534.41502.3e

Links for this article

http://www.ingentaconnect.com/klu/amhu/2004/00000105/F0020001/05380326
http://openurl.ingenta.com/content?genre=article&issn=0236-5294&volume=105&issue=1-2&spage=103&epage=114
http://dx.doi.org/10.1023/B:AMHU.0000045534.41502.3e