R. O. Hryniv, “Uniformly Bounded Families of Riesz Bases of Exponentials, Sines, and Cosines”, Mat. Zametki, 2010, Volume 87, Issue 4,Pages <nobr>542

This article is cited in 6 papers

Uniformly Bounded Families of Riesz Bases of Exponentials, Sines, and Cosines

R. O. Hryniv^abc

^a Ivan Franko National University of L'viv
^b Ya. S. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS Ukraine
^c Institute of Mathematics, Rzeszów University

Abstract: We construct a wide class of families of exponentials, sines, and cosines generating Riesz bases of the corresponding Hilbert spaces with uniformly bounded upper bounds and uniformly positive lower bounds.

Keywords: Riesz bases of exponentials, sines, and cosines, separable Hilbert space, Hilbert transformation, Hadamard canonical product, Riemann function.

UDC: 517.982.254

Received: 13.04.2009

DOI: 10.4213/mzm8698