A dimensionally continued Poisson summation formula
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Publication:2428482
DOI10.1007/s00041-011-9207-0zbMath1283.42010arXiv1011.3790OpenAlexW3103522993MaRDI QIDQ2428482
Publication date: 26 April 2012
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.3790
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Theta series; Weil representation; theta correspondences (11F27) Fourier coefficients of automorphic forms (11F30)
Related Items (2)
Poisson summation formula in Hardy spaces \(H^p(T_\Gamma )\), \(p\in (0,1\)] ⋮ Universal optimality of the \(E_8\) and Leech lattices and interpolation formulas
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Cites Work
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- Concordance and the harmonic analysis of sequences
- A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns
- The Poisson summation formula
- Upper bounds for modular forms, lattices, and codes
- On shelling \(E_ 8\) quasicrystals
- A note on shelling
- A spectral analysis of automorphic distributions and Poisson summation formulas.
- Dirac combs
- Some properties of modular relations
- Bounds for coefficients of cusp forms and extremal lattices
- SHELLS OF SELFDUAL LATTICES VIEWED AS SPHERICAL DESIGNS
- Octagonal quasicrystals and a formula for shelling
- Quasicrystals and icosians
- On an analogy to the Poisson summation formula for generalized Fourier transformation.
- On dimensional regularization of sums
- Distributions and Their Hermite Expansions
- Number Theory
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