Bayesian information geometry provides a general error decomposition theorem for arbitrary statistical models and a family of information deviations that include Kullback-Leibler information as a special case. When applied to Gaussian measures it takes the classical Hilbert space (Sobolev space) theories for estimation (regression, filtering, approximation, smoothing) as a special case. When th...

Let K/F be a quadratic extension of p-adic fields, and n a positive integer. A smooth irreducible representation of the group GL(n, K) is said to be distinguished, if it admits on its space a nonzero GL(n, F )-invariant linear form. In the present work, we classify distinguished generic representations of the group GL(n, K) in terms of inducing quasi-square-integrable representations. This has ...

Using the tensor product variety introduced in [6] and [9], the complete structure of the tensor product of a finite number of integrable highest weight modules of Uq(sl 2) is recovered. In particular, the elementary basis, Lusztig's canonical basis, and the basis adapted to the decomposition of the tensor product into simple modules are all exhibited as distinguished elements of certain spaces...