On Szegö’s Type Theorems

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On Szegö’s Type Theorems

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dc.contributor.author Remadevi,S
dc.contributor.author Narayanan Namboodiri,M N
dc.date.accessioned 2008-05-26T06:27:55Z
dc.date.available 2008-05-26T06:27:55Z
dc.date.issued 2003
dc.identifier.uri http://dyuthi.cusat.ac.in/purl/66
dc.description.abstract This study is to look the effect of change in the ordering of the Fourier system on Szegö’s classical observations of asymptotic distribution of eigenvalues of finite Toeplitz forms.This is done by checking proofs and Szegö’s properties in the new set up.The Fourier system is unconditional [19], any arbitrary ordering of the Fourier system forms a basis for the Hilbert space L2 [-Π, Π].Here study about the classical Szegö’s theorem.Szegö’s type theorem for operators in L2(R+) and check its validity for certain multiplication operators.Since the trigonometric basis is not available in L2(R+) or in L2(R) .This study discussed about the classes of orderings of Haar System in L2 (R+) and in L2(R) in which Szegö’s Type TheoreT Am is valid for certain multiplication operators.It is divided into two sections. In the first section there is an ordering to Haar system in L2(R+) and prove that with respect to this ordering, Szegö’s Type theorem holds for general class of multiplication operators Tƒ with multiplier ƒ ε L2(R+), subject to some conditions on ƒ.Finally in second section more general classes of ordering of Haar system in L2(R+) and in L2(R) are identified in such a way that for certain classes of multiplication operators the asymptotic distribution of eigenvalues exists. en_US
dc.language.iso en en_US
dc.publisher Department of Mathematics,Faculty of Science en_US
dc.subject Szegö’s theorm en_US
dc.subject Haar system en_US
dc.subject Hilbert space en_US
dc.subject Fourier system en_US
dc.subject Trigonometric basis en_US
dc.subject Multiplication operators en_US
dc.title On Szegö’s Type Theorems en_US
dc.type Thesis en_US


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