Generalized Continuous Integral Wavelet Transform and Its Properties

Authors

  • Manoj Kumar Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow, India

DOI:

https://doi.org/10.23755/rm.v43i0.793

Keywords:

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

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.

Author Biography

  • Manoj Kumar, Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow, India
    Assistant Professor, Applied Sciences and Humanities Department, Institute of Engineering and Technology, Lucknow, India

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.

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Published

2022-12-30

Issue

Vol. 43 (2022)

Section

Volume 43-2022

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