NDLI: Orientation-Preserving Mappings, A Semigroup of Geometric Transformations, and a Class of Integral Operators

Content Provider	Scilit
Author	Farias, Antonio O.
Copyright Year	1972
Description	A Titus transformation is a linear operator on the vector space of mappings from the circle into the plane given by , where is a nonnegative, function on the circle . Let denote the semigroup generated by finite compositions of Titus transformations. A Titus mapping is the image by an element of of a degenerate curve, , where is a function on and is fixed in the plane .
Related Links	http://www.ams.org/tran/1972-167-00/S0002-9947-1972-0295374-6/S0002-9947-1972-0295374-6.pdf
Ending Page	289
Page Count	11
Starting Page	279
ISSN	00029947
e-ISSN	10886850
DOI	10.2307/1996139
Journal	Transactions of the American Mathematical Society
Volume Number	167
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Artificial Intelligence Semigroup Geometric Transformations Integral Operators Orientation Preserving Mappings
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Orientation-Preserving Mappings, A Semigroup of Geometric Transformations, and a Class of Integral Operators