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.

We consider a fractional order viscoelasticity problem modelled by power-law type stress relaxation function. This viscoelastic is Volterra integral equation of the second kind with weakly singular kernel where convolution corresponds to differentiation/integration. use spatial finite element method and difference scheme in time. Due weak singularity, integration time managed approximately line...

Convolution and correlation are very basic image processing operations with numerous applications ranging from image restoration to target detection to image resampling and geometrical transformation. In real time applications, the crucial issue is the processing speed, which implies mandatory use of algorithms with the lowest possible computational complexity. Fast image convolution and correl...

We prove a uniform generalized Gaussian bound for the powers of discrete convolution operator in one space dimension. Our is derived under assumption that Fourier transform coefficients trigonometric rational function, which generalizes previous results were restricted to polynomials. also allow modulus attain its maximum at finitely many points over period.