Periodic solutions of generalized Schrödinger equations on Cayley Trees

In this paper we define a discrete generalized Laplacian with arbitrary real power on a Cayley tree. This Laplacian is used to define a discrete generalized Schrödinger operator on the tree. The case discrete fractional Schrödinger operators with index $0 < \alpha < 2$ is considered in detail,...

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Bibliographic Details

Main Authors:	Fumio Hiroshima, Jozsef Lorinczi, Utkir Rozikov
Format:	Default Article
Published:	2015
Subjects:	Other mathematical sciences not elsewhere classified Cayley tree Fractional Laplacian Non-local lattice Schrödinger equation Periodic solutions Group representations Cayley trees Mathematical Sciences not elsewhere classified
Online Access:	https://hdl.handle.net/2134/21400
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