Generalized Continuous Integral Wavelet Transform and Its Properties

Manoj Kumar

Abstract


In this paper, the generalized admissibility condition has been obtained and corresponding generalized continuous integral wavelet transforms have been defined. Two new theorems on generalized continuous integral wavelet transforms are established.


Keywords


$L^2(\mathbb{R})-$space, basic wavelet, generalized admissibility condition, generalized continuous wavelet transforms.

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References


C. K. Chui. An introduction to wavelets (Wavelet analysis and its applications). Academic Press, USA, 1992.

I. Daubechies. Ten Lectures on Wavelets. SIAM, Philadelphia, USA, 1992.

S. M. Nikol’skii. Approximation of Functions of Several Variables and Imbedding Theorems. Springer-Verlag, Switzerland, 1995.




DOI: http://dx.doi.org/10.23755/rm.v43i0.793

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.