Compactly supported tight and sibling frames with maximum vanishing moments 1 by Charles K. Chui 2 , Wenjie He, and Joachim St¨ockler 3 Department of Mathematics and Computer Science University of Missouri–St. Louis St. Louis, MO 63121-4499 Running title: Frames with maximum vanishing moments Address for correspondence: JoachimSt¨ockler Universit¨atDortmund Fachbereich Mathematik Lehrstuhl VIII 44221 Dortmund, Germany phone: +49-231-7553100 fax: +49-231-7555923 email: joachim.stoeckler@math.uni-dortmund.de 1 Supported in part by NSF Grants CCR-9988289, CCR-0098331, and ARO Grant DAAD 19-00-1-0512. 2 This author is also with the Statistics Department, Stanford University, Stanford, CA 94305 3 The permanent address of this author is: Universit¨ at Dortmund, Fachbereich Mathematik, 44221 Dortmund, Germany. 1