A Study of Biorthogonal Four-Variable Wavelet Wraps with Three-Scale and Applications in Finance Management

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Information science focuses on understanding problems from the perspective of the stakeholders involved and then applying information and other technologies as needed. In this paper, the notion of orthogonal nonseparable four-variable wavelet bundles is introduced. A new method for designing them is presented by iteration process. A nice approach for constructing four-variable biorthogonal wavelet bundles is developed. The biorthogonality property of four-variable wavelet bundles is discussed. Biorthogonality relations concerning these wavelet four-variable bundles are derived. A constructive method for affine frames is presented. Moreover, it is shown how to get new Riesz bases of from the wavelet bundles.

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522-525

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April 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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