Pseudo-differential operators associated with the Jacobi differential operator and Fourier-cosine wavelet transform
2015 ◽
Vol 08
(01)
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pp. 1550010
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Keyword(s):
Using the inverse of Fourier–Jacobi transform a symbol is defined, and the pseudo-differential operator (p.d.o.) 𝒫α, β (x,D) associated with Jacobi-differential operator in terms of this symbol is defined. It is shown that the p.d.o. is bounded in a certain Sobolev type space associated with the Fourier–Jacobi transform. Continuous Jacobi wavelet transform (JWT) and Fourier-cosine wavelet transform are defined and a reconstruction formula is obtained for Fourier-cosine wavelet transform. Properties of Fourier-cosine wavelet transform are investigated.
2012 ◽
Vol 05
(03)
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pp. 1250040
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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
2016 ◽
Vol 09
(01)
◽
pp. 1650016
2005 ◽
Vol 3
(3)
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pp. 263-286
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2002 ◽
Vol 05
(03)
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pp. 297-315
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Keyword(s):
1986 ◽
Vol 5
(5)
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pp. 409-417
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1998 ◽
Vol 220
(1)
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pp. 365-381
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