A general notion of completely monotone functionals on an ordered Banach algebra B into a proper H*-algebra A with an integral representation for such functionals is given. As an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. A generalized version of Bochner’s theorem on foundation se...

Fast and accurate relative positioning for baselines less than 20 km in length is possible using dual-frequency Global Positioning System (GPS) receivers. By measuring orthometric heights of a few GPS stations by di€erential levelling techniques, the geoid undulation can be modelled, which enables GPS to be used for orthometric height determination in a much faster and more economical way than ...

The high-degree Earth Gravitational Model EGM08 allows for geoid determination with a resolution of the order of 5'. Using this model for estimating the quasigeoid height, we estimate the global root mean square (rms) commission error to 5 and 11 cm, based on the assumptions that terrestrial gravity contributes to the model with an rms standard error of 5 mGal and correlation length 0.01◦ and 0...

Geoid modelling for India is a complex, exhaustive and continuous task because of its large area and tremendous varieties of surface. This paper reviews available geoid models for Indian Territory developed through geometric, gravimetric and hybrid methods for Northern, Eastern, Southern, and Western regions and presents a summary of further scope for the geoid development in India.

We propose a new method, called the textit{the weighted space method}, for the study of the generalized Hyers-Ulam-Rassias stability. We use this method for a nonlinear functional equation, for Volterra and Fredholm integral operators.

[1] We investigate the effects of lateral viscosity variations (LVVs) on mantle circulation model predictions of the global geoid. The present study is motivated in part by earlier findings that LVVs due to stiff slabs in the lower mantle have a strong influence on the geoid, and that slabs in the lower mantle are perhaps no stronger than the ambient mantle. However, more recently, it has been ...