Concordance and the harmonic analysis of sequences
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Publication:770713
DOI10.1007/BF02559556zbMath0085.30102MaRDI QIDQ770713
Publication date: 1959
Published in: Acta Mathematica (Search for Journal in Brave)
Related Items (16)
Poisson summation formulas involving the sum-of-squares function ⋮ Explicit transformations of certain Lambert series ⋮ Unnamed Item ⋮ Fourier interpolation on the real line ⋮ On eigenmeasures under Fourier transform ⋮ Crystalline measures in two dimensions ⋮ A dimensionally continued Poisson summation formula ⋮ Fourier interpolation with zeros of zeta and \(L\)-functions ⋮ Analogue of a Fock-type integral arising from electromagnetism and its applications in number theory ⋮ Stable polynomials and crystalline measures ⋮ Measures with locally finite support and spectrum ⋮ Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications ⋮ Sums of squares and products of Bessel functions ⋮ Uniqueness theory for model sets, and spectral superresolution ⋮ A theory of functional relationships ⋮ Quasicrystals and Poisson's summation formula
Cites Work
- On Poisson's summation formula
- A Symmetrical Convergence Theory for General Transforms
- SUMMATION FORMULAE AND SELF-RECIPROCAL FUNCTIONS
- SOME FOURIER TRANSFORMS IN PRIME-NUMBER THEORY
- COMPLEX FOURIER--BESSEL TRANSFORMS
- A Summation Formula in the Theory of Prime Numbers
- DISCONTINUOUS LIMITS AND FOURIER-STIELTJES INTEGRALS
- Fourier Reciprocities and the Riemann Zeta-Function
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