Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 20, No. 2, pp. 185-206 (2004)

On orthonormal product systems

F. Schipp

Eötvös L. University

Abstract: In this paper we collected the most significant results concerning product systems. In addition to that we formulate some open problems. Our purpose is to call the attention to this field which is connected to several other fields of mathematics and which was developed from dyadic analysis.

Keywords: Walsh-, Haar-, Vilenkin functions, product systems, martingales, FFT algorithms.

Classification (MSC2000): 42C10

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