DUAL MULTIWAVELET FRAMES WITH SYMMETRY FROM TWO-DIRECTION REFINABLE FUNCTIONS

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LI Y.; YANG SH.

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ISSN: 2588-4824

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:1 Page(s): 199-214

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Information Journal Paper

Title

DUAL MULTIWAVELET FRAMES WITH SYMMETRY FROM TWO-DIRECTION REFINABLE FUNCTIONS

Author(s)

LI Y. | YANG SH. | Issue Writer Certificate

Keywords

DUAL TWO-DIRECTION FRAMES

DUAL MULTIWAVELET FRAMES

SYMMETRY

VANISHING MOMENT

DUAL SOBOLEV SPACES

Abstract

Motivated by [B. Han and Q. Mo, Adv. Comp. Math. 18(2003) 211-245] and [B. Han and Z. Shen, Constr. Approx. 29 (2009) 369-406], we propose DUAL TWO-DIRECTION FRAMES in DUAL SOBOLEV SPACES (Hs (R), H-s (R)), with s>0. Based on the DUAL TWO-DIRECTION FRAMES from a pair of two-direction refinable functions, DUAL MULTIWAVELET FRAMES with SYMMETRY{ Y l(x): = (y1l(x), y2l(x)) T}l=1 d and {y~ l (x): = (y~l1(x), y~l2(x)) T} l=1d can be constructed very easily. The VANISHING MOMENT of the constructed multiwavelet frames is discussed. An example is given to illustrate our results.

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APA: Copy

LI, Y., & YANG, SH.. (2011). DUAL MULTIWAVELET FRAMES WITH SYMMETRY FROM TWO-DIRECTION REFINABLE FUNCTIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 199-214. SID. https://sid.ir/paper/627916/en

Vancouver: Copy

LI Y., YANG SH.. DUAL MULTIWAVELET FRAMES WITH SYMMETRY FROM TWO-DIRECTION REFINABLE FUNCTIONS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):199-214. Available from: https://sid.ir/paper/627916/en

IEEE: Copy

Y. LI, and SH. YANG, “DUAL MULTIWAVELET FRAMES WITH SYMMETRY FROM TWO-DIRECTION REFINABLE FUNCTIONS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 199–214, 2011, [Online]. Available: https://sid.ir/paper/627916/en

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