Titel
Abstract Poisson summation formulas over homogeneous spaces of compact groups
Autor*in
Abstract
This paper presents the abstract notion of Poisson summation formulas for homogeneous spaces of compact groups. Let G be a compact group, H be a closed subgroup of G, and μ be the normalized G-invariant measure over the left coset space G / H associated to the Weil’s formula. We prove that the abstract Fourier transform over G / H satisfies a generalized version of the Poisson summation formula.
Stichwort
Compact groupHomogeneous spaceDual homogeneous spaceFourier transformPlancherel (trace) formulaInversion formulaPoisson summation formula
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:526563
Erschienen in
Titel
Analysis and Mathematical Physics
Verlag
Springer Nature
Erscheinungsdatum
2016
Zugänglichkeit

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