shareshare link cite add Please grant OpenAIRE to access and update your ORCID works.This Research product is the result of merged Research products in OpenAIRE.

You have already added 0 works in your ORCID record related to the merged Research product.

You have already added 0 works in your ORCID record related to the merged Research product.

# Poisson summation formulas involving the sum-of-squares function

Classical Analysis and ODEs (math.CA), Functional Analysis (math.FA), Number Theory (math.NT), FOS: Mathematics, 11E25, 42B10, 52C23, Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, Mathematics - Number Theory, General Mathematics

Classical Analysis and ODEs (math.CA), Functional Analysis (math.FA), Number Theory (math.NT), FOS: Mathematics, 11E25, 42B10, 52C23, Mathematics - Classical Analysis and ODEs, Mathematics - Functional Analysis, Mathematics - Number Theory, General Mathematics

- Bar-Ilan University Israel

###### 18 references, page 1 of 2

[Fav18] S. Yu. Favorov, Tempered distributions with discrete support and spectrum. Bull. Hellenic Math. Soc. 62 (2018), 66-79.

[GT13] L. Grafakos, G. Teschl, On Fourier transforms of radial functions and distributions. J. Fourier Anal. Appl. 19 (2013), no. 1, 167-179.

[Gro78] E. Grosswald, Bessel polynomials. Lecture Notes in Mathematics, 698. Springer, Berlin, 1978.

[Gui59] A. P. Guinand, Concordance and the harmonic analysis of sequences. Acta Math. 101 (1959), 235-271. [OpenAIRE]

[Kol16] M. N. Kolountzakis, Fourier pairs of discrete support with little structure. J. Fourier Anal. Appl. 22 (2016), no. 1, 1-5.

[Lag00] J. C. Lagarias, Mathematical quasicrystals and the problem of diffraction. Directions in mathematical quasicrystals, 61-93, CRM Monogr. Ser., 13, Amer. Math. Soc., Providence, RI, 2000.

[Leb72] N. N. Lebedev, Special functions and their applications, Revised edition. Dover Publications, New York, 1972.

[LO13] N. Lev, A. Olevskii, Measures with uniformly discrete support and spectrum. C. R. Math. Acad. Sci. Paris 351 (2013), no. 15-16, 599-603. [OpenAIRE]

[LO15] N. Lev, A. Olevskii, Quasicrystals and Poisson's summation formula. Invent. Math. 200 (2015), no. 2, 585-606.

[LO16] N. Lev, A. Olevskii, Quasicrystals with discrete support and spectrum. Rev. Mat. Iberoam. 32 (2016), no. 4, 1341-1352.

###### 1 Research products, page 1 of 1

- 2016 . IsAmongTopNSimilarDocuments

- Funder: European Commission (EC)
- Project Code: 713927
- Funding stream: H2020 | ERC | ERC-STG