Difference between revisions of "Dilatation"
From Encyclopedia of Mathematics
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An obsolete term used to denote special birational transformations. The modern term is [[Monoidal transformation|monoidal transformation]]. | An obsolete term used to denote special birational transformations. The modern term is [[Monoidal transformation|monoidal transformation]]. | ||
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| − | There are, however, also several non-obsolete meanings of the term, such as the dilatation (dilatation coefficient) | + | There are, however, also several non-obsolete meanings of the term, such as the dilatation (dilatation coefficient) $k(f,a)$ of a [[Quasi-conformal mapping|quasi-conformal mapping]] and the theory of (unitary) dilatations in operator theory, cf. [[Contraction(2)|Contraction]] and [[Contraction semi-group|Contraction semi-group]]; cf. also [[Spectral set|Spectral set]]. |
Latest revision as of 14:10, 12 April 2014
An obsolete term used to denote special birational transformations. The modern term is monoidal transformation.
Comments
There are, however, also several non-obsolete meanings of the term, such as the dilatation (dilatation coefficient) $k(f,a)$ of a quasi-conformal mapping and the theory of (unitary) dilatations in operator theory, cf. Contraction and Contraction semi-group; cf. also Spectral set.
How to Cite This Entry:
Dilatation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dilatation&oldid=31635
Dilatation. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Dilatation&oldid=31635
This article was adapted from an original article by V.A. Iskovskikh (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article