REPRESENTATION OF PARSEVAL FRAMES IN HILBERT SPACES

Abstract

In this paper we introduce two new classes of Parseval frames in arbitrary
Hilbert spaces of finite or infinite dimension: simple and composite Parseval
frames. Theorems of representation of composite Parseval frames by summation
of simple ones are proved. Few classes of simple frames are described: orthonor
mal basis, equiangular Parseval frames and some other examples.