We compare crystal combinatorics of the level
Fock space with the classification of unitary irreducible representations of type B rational Cherednik algebras to study how unitarity behaves under parabolic restriction. We show that the crystal o…
Consider an algorithm computing in a differential field with several commuting derivations such that the only operations it performs with the elements of the field are arithmetic operations, differentiation, and zero testing. We show that, if the alg…
We compare the solutions of two Poisson problems in a spherical shell with Robin boundary conditions, one with given data, and one where the data have been cap symmetrized. When the Robin parameters are nonnegative, we show that the solution to the s…
The main aim of this article is to show that normalised standard intertwining operator between induced representations of p-adic groups, at a very specific point of evaluation, has an arithmetic origin. This result has applications to Eisenstein coho…
We determine the distance (up to a multiplicative constant) in the Zygmund class
to the subspace
The latter space is the image under the Bessel potential
of the space
, which is a nonhomogeneous version of the classical
. …
Let
be the Nevanlinna class, and let B be a Blaschke product. It is shown that the natural invertibility criterion in the quotient algebra
, that is,
on the set
for some positive harmonic function H, holds if and only if the fu…
Polyharmonic maps of order k (briefly, k-harmonic maps) are a natural generalization of harmonic and biharmonic maps. These maps are defined as the critical points of suitable higher-order functionals which extend the classical energy functional for…
Let
be a semifinite von Nemann algebra equipped with an increasing filtration
of (semifinite) von Neumann subalgebras of
. For
, let
denote the noncommutative column conditioned martingale Hardy space and
denote the …
Wick polynomials and Wick products are studied in the context of noncommutative probability theory. It is shown that free, Boolean, and conditionally free Wick polynomials can be defined and related through the action of the group of characters over …
Wilson loop diagrams are an important tool in studying scattering amplitudes of SYM
theory and are known by previous work to be associated to positroids. In this paper, we study the structure of the associated positroids, as well as the structu…