Convolution of singular measures

Convolution of Volume Measures

If M1 and M2 are hypersurfaces in R and μ1 and μ2 are their volume measures, we provide a formula for the absolutely continuous part h of μ1∗μ2. We prove h is continuous off a compact set of measure zero, and calculate it explicitely if M1 and M2 are spheres.

More about measures and Jacobians of singular random matrices

In this work are studied the Jacobians of certain singular transformations and the corresponding measures which support the jacobian computations.

Free Vibration of Annular Plates by Discrete Singular Convolution and Differential Quadrature Methods

Plates and shells are significant structural components in many engineering and industrial applications. In this study, the free vibration analysis of annular plates is investigated. To this aim, two different numerical methods including the differential quadrature and the discrete singular convolution methods are performedfor numerical simulations. Moreover, the Frequency values are obtained v...

Inequalities for Strongly Singular Convolution Operators

Singular Convolution Operators on the Heisenberg Group

1. Statement of results and outline of method. The purpose of this note is to announce results dealing with convolution operators on the Heisenberg group. As opposed to the well-known situation where the kernels are homogeneous and C°° away from the origin, the kernels we study are homogeneous but have singularities on a hyperplane. Convolution operators with such kernels arise in the study of ...