A geometric characterization of Poisson type distributions
Victor P. Palamodov
TL;DR
This paper provides a geometric characterization of Poisson-type distributions by analyzing their support and spectrum, offering new insights into their structure.
Contribution
It introduces a novel geometric framework to characterize tempered distributions with Poisson structure based on support and spectrum analysis.
Findings
Characterization of Poisson distributions via support geometry
Spectral properties linked to Poisson structure
New criteria for identifying Poisson-type distributions
Abstract
Tempered distributions on Rn that have the Poisson structure are characterized in terms of geometry of its support and spectrum
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Taxonomy
TopicsPoint processes and geometric inequalities · Quasicrystal Structures and Properties · Mathematics and Applications