Continuous Wavelet Transform of Schwartz Tempered Distributions in <i>S</i>′ (<inline-formula> <mml:math id="mm999" display="block"> <mml:semantics> <mml:mrow> <mml:msup> <mml:mi mathvariant="double-struck">R</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> </mml:semantics> </mml:math> </inline-formula>)

In this paper, we define a continuous wavelet transform of a Schwartz tempered distribution <inline-formula> <math display="inline"> <semantics> <mrow> <mi>f</mi> <mo>&#8712;</mo> <msup> <mi>S</mi> <msup> <mrow&...

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Bibliographic Details

Main Authors:	Jagdish Narayan Pandey, Jay Singh Maurya, Santosh Kumar Upadhyay, Hari Mohan Srivastava
Format:	Article
Language:	English
Published:	MDPI AG 2019-02-01
Series:	Symmetry
Subjects:	function spaces and their duals distributions tempered distributions Schwartz testing function space generalized functions distribution space wavelet transform of generalized functions Fourier transform
Online Access:	https://www.mdpi.com/2073-8994/11/2/235