A Fundamental Solution of N. Zeilon's Operator

Zeilon's Operator and Lacunae

Hermitian solutions to the system of operator equations T_iX=U_i.

In this article we consider the system of operator equations T_iX=U_i for i=1,2,...,n and give necessary and suffcient conditions for the existence of common Hermitian solutions to this system of operator equations for arbitrary operators without the closedness condition. Also we study the Moore-penrose inverse of a ncross 1 block operator matrix and. then gi...

Investigating the topography effect in modeling of deformation field of CampiFlegrei volcano using the method of fundamental solution

Considering the importance of predicting volcano eruption and the large number of volcanic peaks across the world, having enough researches in this field is vital. Based on geodetic researches, surface deformation of the earth in the form of uplift or subsidence in the volcanic region, is an indicator of the  magma's movement respectively towards the crater or the exit from the tank around. In...

Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like ‎operator‎

In this paper‎, ‎first we propose a new method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equations of the second kind based on the fuzzy wavelet like operator‎. ‎Then‎, ‎we discuss and investigate the convergence and error analysis of the proposed method‎. ‎Finally‎, ‎to show the accuracy of the proposed method‎, ‎we present two numerical ‎examples.‎

HERMITE OPERATOR AND SUBELLIPTIC OPERATORS IN Hn

In this note, we compute the fundamental solution for the Hermite operator with singularity at arbitrary point y ∈ R. We also apply this result to obtain the fundamental solution for the sub-Laplacian Lα = − ∑n j=1(X 2 j +X 2 j+n)− iαT on the Heisenberg group. In this note, we first derive the fundamental solution of the Hermite operator n ∑ j=1 ( λjx 2 j − ∂2 ∂xj ) in Rn, i.e., we are looking ...