4 papers · 1 filter
Fourier Uncertainty Principles on Riemannian Manifolds
Alex Iosevich, Azita Mayeli, Emmett Wyman
The purpose of this paper is to develop a Fourier uncertainty principle on compact Riemannian manifolds and contrast the underlying ideas with those arising in the setting of local…
Hearing the shape of a drum by knocking around
Xing Wang, Emmett L. Wyman, Yakun Xi
We study a variation of Kac's question, "Can one hear the shape of a drum?" if we allow ourselves access to some additional information. In particular, we allow ourselves to ``hear…
Multi-linear forms, structure of graphs and Lebesgue spaces
A. Iosevich, E. Palsson, Y. Zhai +1
Consider the operator where is a locally integrable function or a measure. The purpose of this paper is to study the multi-line…
Cospectral vertices, walk-regular planar graphs and the echolocation problem
Shi-Lei Kong, Emmett L. Wyman, Yakun Xi
We study cospectral vertices on finite graphs in relation to the echolocation problem on Riemannian manifolds. First, We prove a computationally simple criterion to determine wheth…