On a Widder potential transform and its extension to a space of locally integrable Boehmians

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منابع مشابه

Extension of Ridgelet Transform to Tempered Boehmians

We extend the ridgelet transform to the space of tempered Boehmians consistent with the ridgelet transform on the space of tempered distributions. We also prove that the extended ridgelet transform is continuous, linear, bijection and the extended adjoint ridgelet transform is also linear and continuous. AMS Mathematics Subject Classification (2010): 44A15, 44A35, 42C40

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Wavelet Transform of Fractional Integrals for Integrable Boehmians

The present paper deals with the wavelet transform of fractional integral operator (the RiemannLiouville operators) on Boehmian spaces. By virtue of the existing relation between the wavelet transform and the Fourier transform, we obtained integrable Boehmians defined on the Boehmian space for the wavelet transform of fractional integrals.

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ژورنال

عنوان ژورنال: Journal of the Association of Arab Universities for Basic and Applied Sciences

سال: 2015

ISSN: 1815-3852

DOI: 10.1016/j.jaubas.2014.03.004