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Title: On Generalized Riesz Type Potential with Lorentz Distance
Authors: Sarıkaya, M. Z.
Yıldırım, H.
Akın, O.
Keywords: Generalized Shift operator
Schwartz space
Diamond Operator
Fourier Bessel Transform
Bessel Operator
Lorentz distance
Issue Date: 2008
Publisher: Maik Nauka/Interperiodica/Springer
Abstract: In this article, we defined the Bessel ultra-hyperbolic operator iterated k-times and is defined by square(k)(B) = [B-x1 + B-x2 + ... + B-xp - Bxp+1 - ... - Bxp+q](k), where p+q = n, B-xi = partial derivative(2)/partial derivative x(i)(2) + 2v(i)/x(i) partial derivative/partial derivative x(i), 2v(i) = 2 alpha(i) + 1, alpha(i) > -1/2 [4], x(i) > 0, i = 1,2, ..., n, k is a nonnegative integer and n is the dimension of the R-n(+). Furthermore we have generated the generalized ultra -hyperbolic Riesz potential with Lorentz distance. This potential is generated by the generalized shift operator for functions in Schwartz spaces.
ISSN: 1995-0802
Appears in Collections:WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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