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Boundedness of pseudo-differential operator associated with fractional Hankel transform

✍ Scribed by Prasad, Akhilesh; Singh, V. K.


Book ID
121584548
Publisher
SP Versita
Year
2014
Tongue
English
Weight
223 KB
Volume
17
Category
Article
ISSN
1311-0454

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✦ Synopsis


A pseudo-differential operator (p.d.o.) associated with the fractional Hankel transform involving the symbol a(x, ΞΎ) is defined. An integral representation of p.d.o. and boundedness result of the composition of operators Ξ” r ΞΌ and A ΞΌ,a are obtained. A generalized integral operator A Ξ± ΞΌ,a corresponding to p.d.o. is also defined and the properties of the product of two generalized integral operators corresponding to p.d.o. are studied.


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