Construction of Compactly Supported M-Band Wavelets
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چکیده
Let M ¢ 2 be a fixed positive integer. A family of closed subspaces Vj , j √ Z , of L 2 , the space of all square integrable functions on the real line, is said to be a multiresolution of L 2 if the following conditions hold: ( i) Vj , Vj/1 , and f √ Vj if and only if f ( Mr) √ Vj/1 for all j √ Z ; ( ii ) < j√Z Vj is dense in L 2 and > j√Z Vj Å M; ( iii ) there exists a function f in V0 such that {f(r 0 k) ; k √ Z } is a Riesz basis of V0 . Here we say that {f(r 0 k) ; k √ Z } is a Riesz basis of V0 if there exist constants 0 õ A ° B õ ` such that
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تاریخ انتشار 1995