3 citations · 4 across the 6 of their papers we have counts for
6 papers
Polar Varieties in Cayley-Klein Spaces
Fahimeh Heidari, Bijan Honari
In this paper, we introduce the notion of a total polar for an arbitrary subspace of a Cayley-Klein space in an analytical framework. We show that the set of all total polars of a…
Harmonic-Counting Measures and Spectral Theory of Lens Spaces
H. Mohades, B. Honari
In this article, associated with each lattice the concept of a harmonic-counting measure on a sphere is introduced and it is applied to de…
Hearing the Symmetries of Crystal Lattices from the Integrated Acoustic Spectrum
B. Honari, H. Mohades
Let be a crystal and be a periodic realization of it in , also let be the lattice group of which preserves the covering space nature of crystal lat…
On a Relation between Spectral Theory of Lens Spaces and Ehrhart Theory
H. Mohades, B. Honari
In this article Ehrhart quasi-polynomials of simplices are employed to determine isospectral lens spaces in terms of a finite set of numbers. Using the natural lattice associated w…
On Large Scale Inductive Dimension of Asymptotic Resemblance Spaces
Sh. Kalantari, B. Honari
We introduce the notion of large scale inductive dimension for asymptotic resemblance spaces. We prove that the large scale inductive dimension and the asymptotic dimensiongrad are…
Asymptotic Resemblance
Sh. Kalantari, B. Honari
Uniformity and proximity are two different ways for defining small scale structures on a set. Coarse structures are large scale counterparts of uniform structures. In this paper, m…