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dc.contributor Ph.D. Program in Mathematics.
dc.contributor.advisor Boysal, Arzu.
dc.contributor.advisor Demir, Selçuk.
dc.contributor.author Çam, Şermin.
dc.date.accessioned 2023-03-16T11:23:58Z
dc.date.available 2023-03-16T11:23:58Z
dc.date.issued 2017.
dc.identifier.other MATH 2017 C36 PhD
dc.identifier.uri http://digitalarchive.boun.edu.tr/handle/123456789/15327
dc.description.abstract This thesis is concerned with the spherical analysis of two di erent Olshanski pairs, one of which is related to Heisenberg groups, and the other to the automorphism groups of homogeneous trees. The spherical functions of positive type on the in nite dimensional Heisenberg group H(1) which are invariant under the natural action of the in nite dimensional unitary group U(1) are determined. On the other hand, we consider an Olshanski pair which is constructed from the stabilizers of the horicycles of homogeneous trees of nite degree, where the horicycles form a partition of the set of vertices of the tree, and then we nd all spherical functions of this pair. Finally, we give realizations of the corresponding irreducible unitary representations.
dc.format.extent 30 cm.
dc.publisher Thesis (Ph.D.) - Bogazici University. Institute for Graduate Studies in Science and Engineering, 2017.
dc.subject.lcsh Dimensional analysis.
dc.subject.lcsh Heisenberg uncertainty principle.
dc.title On infinite dimensional spherical analysis
dc.format.pages ix, 71 leaves ;


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