Continuous Wavelet Transforms of Multivariable Abstract Function Spaces

Han Zhang Qu; Jing Yang

doi:10.4028/www.scientific.net/AMR.159.199

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 159Continuous Wavelet Transforms of Multivariable...

Continuous Wavelet Transforms of Multivariable Abstract Function Spaces

Abstract:

An abstract function space is proposed and discussed. One-dimensional continuous wavelet transform is applied to the continuous wavelet transforms of the multivariable abstract function spaces .The reconstruction formulas of it produced by the integral kernel of the transform multivariable abstract functions and those of it produced by the integral kernel of the multivariable abstract functions which are difference from the transform multivariable abstract functions are obtained in the weak topology as well as in the sense of norm convergence.

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Periodical:

Advanced Materials Research (Volume 159)

Pages:

199-204

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.159.199

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Online since:

December 2010

Authors:

Han Zhang Qu, Jing Yang

Keywords:

Abstract Function Space, Fourier Transform, Strong Topology, Weak Topology

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References

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