A certain inversion problem for the ray transform with incomplete data.
A characterization of commutators with Hilbert transforms
A characterization of the generalized Meijer transform.
A Convolution Connected with the Kontorovich-Lebedev Transform.
A Direct Approach to the Mellin Transform.
A distribution Hardy transformation.
A general background of higher order geometry and induced objects on subspaces.
A generalized Hankel transformation
A generalized Hankel transformation on the spaces Fp,μ.
A generalized inversion formula for the continuous Jacobi transform.
A generalized Meijer transformation.
A Generalized Sampling Theorem with the Inverse of an Arbitrary Square Summable Sequence as Sampling Points.
A Hilbert transform for non-homogeneous martingales
A modified convolution and product theorem for the linear canonical transform derived by representation transformation in quantum mechanics
The Linear Canonical Transform (LCT) is a four parameter class of integral transform which plays an important role in many fields of signal processing. Well-known transforms such as the Fourier Transform (FT), the FRactional Fourier Transform (FRFT), and the FreSnel Transform (FST) can be seen as special cases of the linear canonical transform. Many properties of the LCT are currently known but the extension of FRFTs and FTs still needs more attention. This paper presents a modified convolution...
A necessary and sufficient condition for the representation of a function as a Hankel-Stieltjes transform
A new of looking at distributional estimates; applications for the bilinear Hilbert transform.
Distributional estimates for the Carleson operator acting on characteristic functions of measurable sets of finite measure were obtained by Hunt. In this article we describe a simple method that yields such estimates for general operators acting on one or more functions. As an application we discuss how distributional estimates are obtained for the linear and bilinear Hilbert transform. These distributional estimates show that the square root of the bilinear Hilbert transform is exponentially lntegrable...
A new proof of the support theorem and the range characterization for the Radon transform.
A new variant for the Meijer's integral transform
A note on an integral operator involving Legendre functions
A Note On Fractional Integration