Inner Factors and Blaschke Products

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1966Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 17, page 572 (issn: 0002-9939,

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Authors: Rushfield, N.;

doi: 10.2307/2035368 , 10.1090/s0002-9939-1966-0192354-9

Inner Factors and Blaschke Products

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Abstract

H, is characterized by the property that hEHV if and only if for some constant M and every y>0, fJ 0(h(x+iy), h(x+iy))dx 0) be the left translation operator on L2,,, T8f(x) =f(x+s). The family { T8 S >s0 is a semigroup of operators. Let r8 (for fixed s>0) be the right translation operator on L2,,: fg(x-s), for x-s > 0, r8g(x)= l,0 for x-s < 0.

Keywords

functional analysis

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