Department of Mathematics, University of Zagreb,
Bijenicka 30, 10000 Zagreb, Croatia
e-mail: hsikic@math.hr
Department of Mathematics, Box 1146,
Washington University, St. Louis, MO, 63130, USA
e-mail: guido@math.wustl.edu
e-mail: enwilson@math.wustl.edu
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.