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An obsolete term used to denote special birational transformations. The modern term is monoidal transformation.


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:
This article was adapted from an original article by V.A. Iskovskikh (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article