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A DISCUSSION ON CONTINUOUS WAVELET TRANSFORM IN A SPECIAL ABSTRACT FUNCTION SPACE AND DEFFERENTIAL EQUATIONS

    This work is supported by the project of the Education Department of Shaanxi Prrovince. No. 06JK192.

    https://doi.org/10.1142/9789812772763_0173Cited by:0 (Source: Crossref)
    Abstract:

    The relation between the differential equations in a special abstract function space and the integral equations in the space is discussed by using the continuous wavelet transform; the result that the differential equations can be transformed into the integral equations is obtained; they are equivalent not only in the weak topology but also in the strong topology.