Geometric Methods in Wavelet Theory

CABRELLI, C.; URSULA M. MOLTER

Revista de la UMA

Unión Matemática Argentina

Lugar: Bahia Blanca; Año: 2005 vol. 46 p. 121 - 132

Abstract. In this paper we present an overview of how geometric methods can be successfully used to solve problems in Analysis. We will focus on self- similar ob jects and use their structure to construct frames, Riesz bases and wavelet bases in Rd with a single generator function. Further, we show that the generating functions for these systems are dense in L 2 (Rd ).