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Generalized functions and the expansion of moments
Published 2021-09-01Subjects: Get full text
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The Fractional Hilbert Transform of Generalized Functions
Published 2022-10-01“…In the present work, we expand the fractional Hilbert transform that displays an odd symmetry to a space of generalized functions known as Boehmians. Moreover, we introduce a new fractional convolutional operator for the fractional Hilbert transform to prove a convolutional theorem similar to the classical Hilbert transform, and also to extend the fractional Hilbert transform to Boehmians. …”
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On modified Mellin transform of generalized functions
Published 2013“…We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform. …”
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DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION
Published 2015-11-01Get full text
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Mathematical modeling with generalized function
Published 2011“…In mathematical analysis, distributions also known as generalized functions are objects which generalize functions and probability distributions. …”
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