The Weitzenböck Type Curvature Operator for Singular Distributions

Bochner - Weitzenböck formulas associated with the Rarita - Schwinger operator

X iv :h ep -t h/ 01 10 01 4v 1 1 O ct 2 00 1 THE RARITA-SCHWINGER OPERATOR 1 Bochner-Weitzenböck formulas associated with the Rarita-Schwinger operator Thomas Branson and Oussama Hijazi

Approximating the Distributions of Singular Quadratic Expressions and their Ratios

Noncentral indefinite quadratic expressions in possibly non- singular normal vectors are represented in terms of the difference of two positive definite quadratic forms and an independently distributed linear combination of standard normal random variables. This result also ap- plies to quadratic forms in singular normal vectors for which no general representation is currently available. The ...

Numerical Solution of Singular IVPs of Lane-Emden Type Using Integral Operator and Radial Basis Functions

Sharp Function Inequalities and Boundness for Toeplitz Type Operator Related to General Fractional Singular Integral Operator

We establish some sharp maximal function inequalities for the Toeplitz type operator, which is related to certain fractional singular integral operator with general kernel. These results are helpful to investigate the boundedness of the operator on Lebesgue, Morrey and Triebel–Lizorkin spaces respectively.

Optimal Operator preconditioning for weakly singular operator over 3D screens

In this supplement to [14], we propose a new Calderón-type preconditioner for the weakly singular integral operator for −∆ on screens in R. We introduce a modified hypersingular operator, which is the exact inverse of the weakly singular operator on the unit disk. It forms the foundation for dual-mesh-based operator preconditioning. Applied to low-order boundary element Galerkin discretizations...