For a closed, connected, and oriented 3-manifold with a non-singular flow, we construct its virtual knot diagram via a “flow-spine” of the manifold. Then, we introduce a coloring invariant of 3-manifolds through their virtual knot diagrams, and classif…
We first provide a detailed proof of Kato’s classification theorem of log p-divisible groups over a Noetherian Henselian local ring. Exploring Kato’s idea further, we then define the notion of a standard extension of a classical finite étale group sche…
We consider direct and inverse Jacobi transforms with measures and respectively. We solve the following generalized Logan problem: to find the infimumwhere and the infimum is taken over all nontrivial even entire functions f of exponential type that a…
We provide a criterion for a coherent sheaf to be an Ulrich sheaf in terms of a certain bilinear form on its global sections. When working over the real numbers, we call it a positive Ulrich sheaf if this bilinear form is symmetric or Hermitian and pos…
We provide a correspondence between one-sided coideal subrings and one-sided ideal two-sided coideals in an arbitrary bialgebroid. We prove that, under some expected additional conditions, this correspondence becomes bijective for Hopf algebroids. As a…
We present a unified theory for the almost periodicity of functions with values in an arbitrary Banach space, measures and distributions via almost periodic elements for the action of a locally compact abelian group on a uniform topological space. We d…
Using probabilistic tools, we prove that any weak* continuous semigroup of self-adjoint unital completely positive measurable Schur multipliers acting on the space of bounded operators on the Hilbert space , where X is a suitable measure space, can …
In this paper, we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well-established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric spa…
Motivated by the near invariance of model spaces for the backward shift, we introduce a general notion of -invariant operators. The relations between this class of operators and the near invariance properties of their kernels are studied. Those lead to…