In this paper we discuss some topics that came up in Chapters 2 and 3 of Part III of [8]. These involve relations between derivatives of Cauchy integrals on curves and surfaces and curvatures of the curves and surfaces. In R for n > 2, “Cauchy integrals” can be based on generalizations of complex analysis using quarternions or Clifford algebras (as in [3]). Part of the point here is to bring ou...

In this paper we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As application, new integral representations for the Euler Gamma function are given.

In this paper we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As application, new integral representations for the Euler Gamma function are given.

We study the holomorphic properties of the MQCD by comparing the superpotentials in MQCD and the gauge theory. First we show that the superpotential defined as an integral of three form is NOT appropriate for generic situation with quarks. We report a resolution of the problem which works for the brane configurations of 90 degree rotation, including the true SQCD. The new definition does not ne...

In this paper we introduce and investigate a Henstock-Kurzweil-type integral for Riesz-space-valued functions defined on (not necessarily bounded) subintervals of the extended real line. We prove some basic properties, among them the fact that our integral contains under suitable hypothesis the generalized Riemann integral and that every simple function which vanishes outside of a set of finite...

This paper deals with the problem of estimating the losses in highly-conducting wires, in a frequency range where the transverse dimension is comparable to the signal wavelength. In this case the standard transmission line model fails since it cannot predict high-frequency effects like radiation in the transverse plane. Here we use a recently proposed enhanced transmission line model which, alt...

This paper introduces two different generalizations on non-quadratic stabilization of TakagiSugeno models via line-integral Lyapunov functions. Inspired in recent developments which have proved to relax the conservativeness in the quadratic framework via suitable matrix transformations, the results here provided outperform the existing ones for line-integral Lyapunov functions. Examples are pro...

The gamma-ray observatory INTEGRAL, launched in October 2002, produces a wealth of discoveries and new results on compact high energy Galactic objects, nuclear gammaray line emission, diffuse line and continuum emission, cosmic background radiation, AGN and high energy transients. Two important serendipitous discoveries made by the INTEGRAL mission are new classes of X-ray binaries, namely the ...

the use of stokes boundary values problems for the determination of the geoid requires that gravity anomalies (as boundary values) are known on geoid (as boundary). while, the gravity observations are measured on the earth's surface, to obtain boundary data, the surface gravity anomalies does are downward from the terrain onto geoid. for downward continuation (dwc) of surface gravity anoma...