K-functionals of fractional orders and moduli of smoothness on a general setting
Harmonic Analysis, Several Complex Variables, and Partial Differential Equations
The Elastic Pendulum - Experimental Monitoring, Numerical Simulation, and Comparat...
Abstract
The principal objectives of this project are to study themes related to Harmonic Analysis, Approximation Theory and Special Functions and their Applications. Harmonic Analysis is a cornerstone of Analysis. The solutions of the principal partial differential equation are generally represented by convolutions and these representations are obtained via an application of the Fourier transform. Approximation Theory deals with fundamental questions as density of subspaces of a metric space and approximations of functions and functionals of a rather complex nature by simpler objects. The Theory of Special Functions is fundamental to describe quantitative properties of solutions of differential equations. The research in these areas and the connection between them facilitates the understanding of processes in nature and possesses various applications in other areas of Mathematics, and in Physics and Engineering. (AU)
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