On Finite Blaschke Products whose Restrictions to the unit circle are Exact Endomorphisms | Zendy

Martin N. F. G. | Zendy

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On Finite Blaschke Products whose Restrictions to the unit circle are Exact Endomorphisms

Author(s) -

Martin N. F. G.

Publication year - 1983

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/15.4.343

Subject(s) - mathematics , endomorphism , unit circle , blaschke product , cartesian product , lebesgue measure , unit disk , pure mathematics , mathematical analysis , lebesgue integration , discrete mathematics

An easily checked sufficient condition is given for the restriction of a finite Blaschke product to the unit circle to be an exact endomorphism. A formula for the entropy of such restrictions with respect to the unique finite invariant measure equivalent to Lebesgue measure is given and it is shown that if such a restriction has maximal entropy then it is conformally equivalent to the product of a rotation and a power.

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