In the Hamiltonian approach on a single spatial plaquette, we construct a quantum (lattice)
gauge theory which incorporates the classical singularities. The reduced phase space is a …

摘要“民以食为天”“食以安为先”, 食品安全问题历来备受关注, 消费者在食品选择或消费时会努力
寻找各种证明食品安全的有效线索, 其中信誉标签结构线索(Cues of Credence-label Structure) …

We explain the powerful role that operator-valued measures can play in quantizing any set
equipped with a measure, for instance a group (resp. group coset) with its invariant (resp …

This paper describes results characterizing the range of the time-t heat operator on various
manifolds, including Euclidean spaces, spheres, and hyperbolic spaces. The guiding …

We consider the Heisenberg motion groups ℍ𝕄= ℍ n⋊ K, where ℍ n is the Heisenberg
group and K is a compact subgroup of U (n) such that (K, ℍ n) is a Gelfand pair. We study the …

Purpose This paper aims to propose a framework model of belief consistency on the
confirmatory bias theory, trying to explore the interactions between cues of credence-label …

Let X= G/K be a Riemannian symmetric space of the noncompact type. We give a short
exposition of the representation theory related to X, and discuss its holomorphic extension to …

We consider a particle moving on a 2-sphere in the presence of a constant magnetic field.
Building on our earlier work in the nonmagnetic case we construct coherent states for this …

We consider the Segal–Bargmann transform on a noncompact symmetric space of the
complex type. We establish isometry and surjectivity theorems for the transform, in a form as …

We study the heat equation associated to a multiplicity function on a root system, where the
corresponding Laplace operator has been defined by Heckman and Opdam. In particular …