Minimal sublinear functionals

Convex Sets and Minimal Sublinear Functions

We show that, given a closed convex set K with the origin in its interior, the support function of the set {y ∈ K∗ | ∃x ∈ K such that xy = 1} is the pointwise smallest sublinear function σ such that K = {x |σ(x) ≤ 1}.

Minimal Representations: Spherical Vectors and Automorphic Functionals

In the first part of this paper we study minimal representations of simply connected simple split groups G of type Dk or Ek over local nonarchimedian fields. Our main result is an explicit formula for the spherical vectors in these representations. In the case of groups over R and C, such a formula was obtained recently in [8]. We also use our techniques to study the structure of the space of s...

Tensorial Minkowski functionals of triply periodic minimal surfaces.

A fundamental understanding of the formation and properties of a complex spatial structure relies on robust quantitative tools to characterize morphology. A systematic approach to the characterization of average properties of anisotropic complex interfacial geometries is provided by integral geometry which furnishes a family of morphological descriptors known as tensorial Minkowski functionals....

Sublinear Ambiguity

A context-free grammar G is ambiguous if there is a word that can be generated by G with at least two different derivation trees. Ambiguous grammars are often distinguished by their degree of ambiguity, which is the maximal number of derivation trees for the words generated by them. If there is no such upper bound G is said to be ambiguous of infinite degree. By considering how many derivation ...

Sublinear Ambiguity