A Hermitian Cauchy formula on a domain with fractal boundary

Nvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition

Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...

A Cauchy integral formula in superspace

In previous work the framework for a hypercomplex function theory in superspace was established and amply investigated. In this paper a Cauchy integral formula is obtained in this new framework by exploiting techniques from orthogonal Clifford analysis. After introducing Clifford algebra valued surfaceand volume-elements first a purely fermionic Cauchy formula is proven. Combining this formula ...

a cauchy-schwarz type inequality for fuzzy integrals

نامساوی کوشی-شوارتز در حالت کلاسیک در فضای اندازه فازی برقرار نمی باشد اما با اعمال شرط هایی در مسئله مانند یکنوا بودن توابع و قرار گرفتن در بازه صفر ویک می توان دو نوع نامساوی کوشی-شوارتز را در فضای اندازه فازی اثبات نمود.

Cauchy ’ s theorem , Cauchy ’ s formula , corollaries Paul

The Local Index Formula for a Hermitian Manifold

Let M be a compact complex manifold of real dimension m = 2m̄ with a Hermitian metric. Let an(x,∆) be the heat equation asymptotics of the complex Laplacian ∆. Then TrL2(fe−t∆ p,q ) ∼ Σn=0t ∫ M fan(x,∆) for any f ∈ C∞(M); the an vanish for n odd. Let ag(M) be the arithmetic genus and let an(x, ∂̄) := Σq(−1)an(x,∆) be the supertrace of the heat equation asymptotics. Then ∫ M an(x, ∂̄)dx = 0 if n 6=...