This article is cited in 7 papers

Representation of functions by exponentials with positive frequencies

A. M. Olevskii

Tel Aviv University, School of Mathematical Sciences

Abstract: Some new aspects are studied for the following general problem: what spectra of frequencies enable one to represent an arbitrary function as a series in the corresponding harmonics. Of particular interest is the ‘analytic’ situation in which only positive frequencies are used.

UDC: 517.518

MSC: Primary 42A16; Secondary 42A20, 42A61, 42A63

Received: 27.11.2003

DOI: 10.4213/rm707

 English version: Russian Mathematical Surveys, 2004, 59:1, 171–180

Bibliographic databases:

• 
• 
• 
• 
•