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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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Generalized functions and the expansion of moments
Published 2021-09-01Subjects: Get 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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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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