A Bessel type operator and the continuous wavelet transform on the half line
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Abstract
In this paper we consider a singular differential operator Ba,b,n on the half line which
generalizes the Bessel operator. We construct and investigate a new continuous wavelet transform on [0, ∞] tied to Ba,b,n by using harmonic analysis tools corresponding to
Ba,b,n. Further we this wavelet transform to invert an intervening operator between Ba,b,n and the second derivative operator Dx = d2/
dx2 .
Keywords: Singular differential operator, generalized wavelets, generalized continuous wavelet transform.
Mathematics subject classiï¬cation: 42A38, 43A15.
generalizes the Bessel operator. We construct and investigate a new continuous wavelet transform on [0, ∞] tied to Ba,b,n by using harmonic analysis tools corresponding to
Ba,b,n. Further we this wavelet transform to invert an intervening operator between Ba,b,n and the second derivative operator Dx = d2/
dx2 .
Keywords: Singular differential operator, generalized wavelets, generalized continuous wavelet transform.
Mathematics subject classiï¬cation: 42A38, 43A15.
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How to Cite
Waphare, B. (2018). A Bessel type operator and the continuous wavelet transform on the half line. Journal of Global Research in Mathematical Archives(JGRMA), 5(1), 77–93. Retrieved from https://www.jgrma.com/index.php/jgrma/article/view/399
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Research Paper
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