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Euclidean Harmonic Analysis, Nilpotent Lie Groups and PDEs

An Orbit Model for Gelfand Spaces

speaker: Gail Ratcliff (East Carolina University)

abstract: Given a Gelfand pair (G,K) formed by the action of a compact group K on the Heisenberg group, we construct a new topological model for the Gelfand space. Each point in the Gelfand space is associated with a particular K-orbit in the dual of the Lie algebra of the Heisenberg group. We construct a set of "eigenvalue polynomials" which define the K-orbits.

timetable:
Thu 11 Mar, 11:00 - 12:00, Sala Conferenze Centro De Giorgi
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