Shai M. J. Haran
Arithmetical Investigations
- Springer Berlin Heidelberg
- 2008
- Taschenbuch
- 236 Seiten
- ISBN 9783540783787
In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zp which are the inverse limit of the finite rings Z/pn. This gives rise to a tree, and probability measures w on Zp correspond to Markov chains on this tree. From the tree structure one obtains special basis for the Hilbert space L2(Zp,w). The real analogue of the p-adic integers is the interval [-1,1], and a probability measure w on it gives rise to a special basis for L2([-1,1],w) - the orthogonal polynomials, and to a Markov chain on
Mehr
Weniger
zzgl. Versand
in Kürze