Spectral sets of certain unbounded functions

Author: Kamiya, Yuichi

Source: Acta Mathematica Hungarica, Volume 110, Numbers 1-2, January 2006 , pp. 51-65(15)

Publisher: Springer

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Abstract:

<Para OutputMedium="All">A. Beurling introduced the concept of spectral sets of unbounded functions to study the possibility of the approximation of those by trigonometric polynomials. We consider spectral sets of unbounded functions in a certain class which contains the square of the Riemann zeta-function as a typical example.</Para>

Keywords: spectral set; zeta-function; harmonic transform

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10474-006-0006-z

Publication date: 2006-01-01