On the excess of complex exponential systems in L2(-a,a)

Elias Zikkos

Research output: Contribution to journalArticlepeer-review


In this article we give new criteria for two complex sequences to have the same excess in the sense of Paley and Wiener in L2 (-a, a). As a result, we prove that given any positive integer q, a real number α ∈ (0, 1/(2 π)), and complex numbers ν0, νn = nq + i α log nq , n ≥ 1, the exponential system {tk eitνn: k = 0, 1,...,q - 1}n=-∞ has excess 0 in L2 (-π, π).

Original languageBritish English
Pages (from-to)47-60
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - 1 Aug 2005


  • Excess
  • Exponential systems


Dive into the research topics of 'On the excess of complex exponential systems in L2(-a,a)'. Together they form a unique fingerprint.

Cite this