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The fundamental group of generic polynomials

✍ Scribed by Fabrizio Catanese; Bronislaw Wajnryb


Book ID
107865149
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
760 KB
Volume
30
Category
Article
ISSN
0040-9383

No coin nor oath required. For personal study only.


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Operators of the form f(xD) -g(L), where L is a shift (lowering) operator, arise naturally in the study of stochastic processes, such as Brownian motion, on the affine group. We find the polynomial eigenfunctions and the action of the affine group as well as the matrix elements of an exponential fun