Department of Mathematics, University of Zagreb,
Bijenicka 30, 10000 Zagreb, Croatia
Department of Mathematics, Box 1146,
Washington University, St. Louis, MO, 63130, USA
Abstract. We introduce new ideas to treat the problem of connectivity of wavelets. We develop a method which produces intermediate paths of Tight Frame Wavelets (TFW). Using this method we prove that a large class of TFW-s, with only mild conditions on their spectrum, are arcwise connected.
2000 Mathematics Subject Classification. 42C15, 42C40.
Key words and phrases. Connectivity, tight frames, wavelets.