On Variation-Diminishing Integral Operators of the Convolution Type

Equations and Integral Operators of Convolution Type on a Bounded Interval

The purpose of this work is to introduce a study of generalized inverses for operators that characterize the equations of the form

A Note on Calderón-zygmund Singular Integral Convolution Operators

Integral Transforms of Fourier Cosine Convolution Type

which has the following property Fc(f ∗ g)(x) = (Fcf)(x)(Fcg)(x). (3) The theory of integral transforms related to the Fourier and Mellin convolutions is well developed [2, 6, 10, 11, 12, 13, 19] and has many applications. Some other classes of integral transforms, that are not related to any known convolutions, are considered in [14, 15]. In this paper we investigate integral transforms of the...

IFS-Type Operators on Integral Transforms

Most standard fractal image compression techniques rely on using an IFS operator directly on the image function. Sometimes, however , it is more convenient to work on a faithful representation of the image which, in certain applications, may be a transformed version of the image. For example, if an MRI image is scanned in as frequency data it may be more natural to work on the Fourier transform...

Convolution Calderón-Zygmund singular integral operators with rough kernels

A survey of known results in the theory of convolution type Calderón-Zygmund singular integral operators with rough kernels is given. Some recent progress is discussed. A list of remaining open questions is presented.