PSEUDO-DIFFERENTIAL OPERATORS INVOLVING HANKEL–CLIFFORD TRANSFORMATION
2012 ◽
Vol 05
(03)
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pp. 1250040
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Keyword(s):
Pseudo-differential operator (p.d.o) associated with the symbol a(x, y) whose derivatives satisfy certain growth condition is defined and the Zemanian-type spaces Hμ(I) and S(I) are introduced. It is shown that the p.d.o is continuous linear map of the space Hμ(I) and S(I) into itself. An integral representation of p.d.o h1, μ, a is obtained. Using the Hankel convolution it is shown that p.d.o h1, μ, a satisfies a certain [Formula: see text]-norm inequality. Properties of Sobolev-type space [Formula: see text] are studied.
2016 ◽
Vol 09
(01)
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pp. 1650016
2015 ◽
Vol 08
(01)
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pp. 1550010
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2018 ◽
Vol 23
(3)
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pp. 492-506
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1970 ◽
Vol 68
(3)
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pp. 685-695
2005 ◽
Vol 3
(3)
◽
pp. 263-286
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2002 ◽
Vol 05
(03)
◽
pp. 297-315
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2004 ◽
Vol 20
(5)
◽
pp. 779-784
◽
2020 ◽
pp. 547-558
1986 ◽
Vol 5
(5)
◽
pp. 409-417
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