For K/F a quadratic extension of p-adic fields, let σ be the conjugation relative to this extension, and ηK/F be the character of F ∗ with kernel norms of K. If π is a smooth irreducible representation of GL(n,K), and χ a character of F , the dimension of the space of linear forms on its space, which transform by χ under GL(n, F ) (with respect to the action [(L, g) 7→ L ◦ π(g)]) , is known to ...

Let E/F be a quadratic extension of p-adic fields. We compute the multiplicity of the space of SL2(F )-invariant linear forms on a representation of SL2(E). This multiplicity varies inside an L-packet similar in spirit to the multiplicity formula for automorphic representations due to Labesse and Langlands.

Cop accepted J School of and repri ins Scho mi.edu). uropean S rition and patology, a 00000000 athleen ‘‘Kay’’ J. Motil, MD, PhD, embodies the K spirit of the NASPGHAN Distinguished Service award. She has worked tirelessly to improve the lives of the children and built a distinguished career within the realm of pediatric gastroenterology and nutrition. She completed her undergraduate education ...

We describe some connections, via composition, between two functional spaces: the space of (sub)critical branching mechanisms and the space of Bernstein functions. The functions eα : x → xα where x ≥ 0 and 0 < α ≤ 1/2, and in particular the critical parameter α = 1/2, play a distinguished role.

Comparisons of diierent cellular devices and the investigation of their computing power can be made in terms of their capabilities to time-construct and time-compute functions. Time-construction means that a distinguished cell has to enter distinguished states exactly at the time steps f (1); f (2); : : :, whereas time-computation requires the distinguished cell to enter a distinguished state r...

In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished embedded Hecke operators. We then show that this space is Hecke invariant with respect to all good Hecke operators. As explicit examples we give Eisenstein series. Conversely...