AN EXTENSION OF BITTNER AND URBAN'S THEOREM

作者：Liu, Youming^*; Zhao, Junjian

来源：Mathematics of Computation, 2013, 82(281): 401-411.

• Wavelet characterization
• Besov spaces
• completeness

A class of Besov spaces are characterized by the quadratic and cubic Hermite multiwavelets (K. Bittner and K. Urban, On interpolatory divergence-free wavelets, Math. Comp., 76 (2007), 903-929). That characterization has a limitation, because of the regularity restriction of the Hermite splines. In this paper, we extend Bittner and Urban's theorem by using B-spline wavelets with weak duals introduced in the paper: R. Q. Jia, J. Z. Wang and D. X. Zhou, Compactly supported wavelet bases for Sobolev spaces, Appl. Comput. Harmon. Anal., 15 (2003), 224-241.

• 出版日期2013-1
• 单位天津工业大学; 北京工业大学