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It is observed that a certain isometric mapping between Hardy-Szeg and Bergman-Selberg spaces, studied by D-W Byun, generalizes a transformation arising from a family of special wavelet transforms studied by Grossman et al . in one of the early papers on wavelet theory. Furthermore, we will see...
Considering the serial operations as multiplication and power, we introduced the next step of them in M.H. Hooshmand, Ultra power and ultra exponential functions , Integral Transforms Spec. Funct. 17 (2006), pp. 549-558, and called it ultra power. In that way, we proved a uniqueness theorem for...
This survey represents mainly recent results of the author, which were obtained during the last decade and concern the theory of the Kontorovich-Lebedev transformation and some related integral operators of the convolution and non-convolution type. In particular, we discuss their boundedness in...
In this paper, we obtain some applications of Saitoh's one-dimensional convolution inequality and also of a two-dimensional convolution inequality in weighted L p spaces.
By using some integral representations for several Mathieu type series (see P.L. Butzer, T.K. Pog ny, and H.M. Srivastava, A linear ODE for the Omega function associated with the Euler function E ( z ) and the Bernoulli function B ( z ) , Appl. Math. Lett. 19 (2006), pp. 1073-1077; P. Cerone and...
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