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On shape preserving semigroups

✍ Scribed by András Bátkai; Adam Bobrowski

Publisher
Springer
Year
2011
Tongue
English
Weight
225 KB
Volume
98
Category
Article
ISSN
0003-889X

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✍ Alexander V Kolesnikov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 292 KB

It is proved that if the semigroup with the generator a kl " xk " xl +b m " xm , where a kl and b m are smooth functions, sends log-concave functions to log-concave functions, then A=(a kl ) is constant and b=(b m ) is an affine mapping.