The Theory of Canonical Moments with Applications in Statistics, Probability and Analysis

1998 ◽  
Vol 93 (444) ◽  
pp. 1525 ◽  
Author(s):  
Andrew L. Rukhin ◽  
Holger Dette ◽  
William J. Studden
Keyword(s):  
Canonical Moments

scholarly journals Canonical Moments and Random Spectral Measures

2009 ◽  
Vol 23 (4) ◽  
pp. 1015-1038 ◽  
Author(s):  
F. Gamboa ◽  
A. Rouault
Keyword(s):  
Spectral Measures ◽  
Canonical Moments

scholarly journals Matricial Canonical Moments and Parametrization of Matricial Hausdorff Moment Sequences

2017 ◽  
Vol 13 (5) ◽  
pp. 2123-2169 ◽  
Author(s):  
Bernd Fritzsche ◽  
Bernd Kirstein ◽  
Conrad Mädler
Keyword(s):  
Canonical Moments

scholarly journals A note on some peculiar nonlinear extremal phenomena of the Chebyshev polynomials

1995 ◽  
Vol 38 (2) ◽  
pp. 343-355 ◽  
Author(s):  
Holger Dette
Keyword(s):  
Chebyshev Polynomials ◽  
Convex Analysis ◽  
Duality Theory ◽  
Complete Solution ◽  
Extremal Problems ◽  
Sum Of Squares ◽  
Canonical Moments

We consider the problem of maximizing the sum of squares of the leading coefficients of polynomials (where Pj(x) is a polynomial of degree j) under the restriction that the sup-norm of is bounded on the interval [ −b, b] (b>0). A complete solution of the problem is presented using duality theory of convex analysis and the theory of canonical moments. It turns out, that contrary to many other extremal problems the structure of the solution will depend heavily on the size of the interval [ −b, b].

Literature and Union

2018 ◽  
Keyword(s):  
Twentieth Century ◽  
Primary Sources ◽  
British History ◽  
The Political ◽  
Binary Opposition ◽  
Scottish Literature ◽  
Canonical Moments ◽  
Literary Scholarship ◽  
Political Spectrum ◽  
The Relationship

This volume opens up a new front in interdisciplinary literary studies. There has been a great deal of academic work—both in the Scottish context and more broadly—on the relationship between literature and nationhood, yet almost none on the relationship between literature and unions. This volume introduces the insights of the new British history into mainstream Scottish literary scholarship. The contributors, who are from all shades of the political spectrum, will interrogate from various angles the assumption of a binary opposition between organic Scottish values and those supposedly imposed by an overbearing imperial England. Viewing Scottish literature as a clash between Scottish and English identities loses sight of the internal Scottish political and religious divisions, which, far more than issues of nationhood and union, were the primary sources of conflict in Scottish culture for most of the period of union, until at least the early twentieth century. The aim of the volume is to reconstruct the story of Scottish literature along lines that are more historically persuasive than those of the prevailing grand narratives in the field. The chapters fall into three groups: (1) those that highlight canonical moments in Scottish literary unionism—John Bull, ‘Rule, Britannia’, Humphry Clinker, Ivanhoe, and England, their England; (2) those that investigate key themes and problems, including the Unions of 1603 and 1707, Scottish Augustanism, the Burns cult, Whig–Presbyterian and sentimental Jacobite literatures; and (3) comparative pieces on European and Anglo-Irish phenomena.

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