We prove an asymptotic version of the Muntz-Szasz theorem, and use it to that all monomial operators are vanishing preserving.

Recently an upsurge in research relating to Laguerre filters for use in system optimization [1], system identification [2] and reduced-order modeling [3] has been noticed. The main reason for the good performance of Laguerre filters is that they form a uniformly bounded orthonormal basis in Hardy space [1]. Another reason, and this represents the novelty of the work carried out in this paper, i...

Schloessing, J. H. & Muntz, C. A. (1877). C.R. Acad. Sci., Paris, 84, 301; 85, 1018. Schloessing, J. H. & Muntz, C. A. (1878). C.R. Acad. Sci., Paris, 86, 892. Schloessing, J. H. & Muntz, C. A. (1879). C.R. Acad. Sci., Paris, 89, 1075. Snell, F. D. & Snell, C. T. (1936). Colorimetric Methods of Analysis, p. 623. London: Chapman and Hall. Stevens, F. L. & Withers, W. A. (1909). Zbl.'Bakt. II, 23...

Online Publication Date: 01 January 2007 To cite this Article: Han, Yen-Lin, Muntz, Eric Phillip, Alexeenko, Alina and Young, Marcus (2007) 'Experimental and Computational Studies of Temperature Gradient-Driven Molecular Transport in Gas Flows through Nano/Microscale Channels', Nanoscale and Microscale Thermophysical Engineering, 11:1, 151 175 To link to this article: DOI: 10.1080/1556726070133...

in this paper we demonstrate the existence of a set of polynomials pi , 1 i  n , which arepositive semi-definite on an interval [a , b] and satisfy, partially, the conditions of polynomials found in thelagrange interpolation process. in other words, if a  a1  an  b is a given finite sequence of realnumbers, then pi (a j )  ij (ij is the kronecker delta symbol ) ; moreover, the sum of ...

We consider an inverse problem of recovering the non-linearity in one dimensional variable exponent $p(x)$-Laplace equation from Dirichlet-to-Neumann map. The can be recovered up to natural obstruction rearrangements. main technique is using a Muntz-Szasz theorem after reducing determining function its $L^p$-norms.

The potential for interdisciplinary research and development to result in a fundamental advance in the availability and use of geospatial information was highlighted in a recent National Research Council Report – IT Roadmap to a Geospatial Future (Muntz et al., 2003). The interdisciplinary challenges outlined in this report were one impetus for organizing this course – to stimulate more cross-d...

Let E a C( AT) be a subspace of continuous functions defined on a compact Hausdorff space K. We characterize those spaces for which the rational functions with denominators and numerators from E are dense. Despite the non-linear structure of rational functions, this characterization uses only methods from linear functional analysis. As special cases, we recover various results on the density of...