Proceedings of the American Mathematical Society, Vol. 132, No. 12 (Dec., 2004), pp. 3491-3502 (12 pages) We educe an orthonormal system of step functions for the ...

The topics of orthogonality and Fourier series occupy a central position in analysis. Nevertheless, there is surprisingly little statistical literature, with the exception of that of time series and ...

THE theory of functions of a real variable is a subject of fairly recent date and is necessarily expanding as new theorems are discovered and fresh generalisations effected. On the other hand, the ...

Description: Boundary-value problems in various fields of mathematical physics and engineering. Basic techniques of solving boundary-value problems of partial differential equations by employing the ...

Lie groups, as continuous groups endowed with differentiable structure, provide a powerful framework to study symmetries across mathematics and physics. Their associated representation theory offers ...