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Poisson summation formula
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==References== {{reflist|1=1|refs= <ref name="Pinsky">{{citation |last=Pinsky |first=M. |title=Introduction to Fourier Analysis and Wavelets. |publisher=Brooks Cole |year=2002 |isbn=978-0-534-37660-4}}</ref> <ref name="Zygmund">{{citation |title=Trigonometric Series |title-link=Trigonometric Series |first=Antoni |last=Zygmund |authorlink=Antoni Zygmund |publisher=Cambridge University Press |year=1968 |publication-date=1988 |isbn=978-0-521-35885-9 |edition=2nd}}</ref> <ref name="Córdoba">{{citation |title=La formule sommatoire de Poisson |first=A. |last=Córdoba |journal=Comptes Rendus de l'Académie des Sciences, Série I |volume=306 |pages=373–376}}</ref> <ref name="Hörmander">{{citation |mr=0717035 |first=L. |last=Hörmander |authorlink=Lars Hörmander |title=The analysis of linear partial differential operators I |series=Grundl. Math. Wissenschaft. |volume=256 |publisher=Springer |year=1983 |isbn=3-540-12104-8 |doi=10.1007/978-3-642-96750-4}}</ref> <ref name="Oppenheim">{{Cite book |last1=Oppenheim |first1=Alan V. |author-link=Alan V. Oppenheim |last2=Schafer |first2=Ronald W. |author2-link=Ronald W. Schafer |last3=Buck |first3=John R. |title=Discrete-time signal processing |year=1999 |publisher=Prentice Hall |location=Upper Saddle River, N.J. |isbn=0-13-754920-2 |edition=2nd |url-access=registration |url=https://archive.org/details/discretetimesign00alan |quote=samples of the Fourier transform of an aperiodic sequence x[n] can be thought of as DFS coefficients of a periodic sequence obtained through summing periodic replicas of x[n].}}</ref> <ref name="Grafakos">{{citation |title=Classical and Modern Fourier Analysis |last=Grafakos |first=Loukas |publisher=Pearson Education, Inc. |pages=253–257 |year=2004 |isbn=0-13-035399-X}}</ref> <ref name="Stein">{{citation |last1=Stein |first1=Elias |first2=Guido |last2=Weiss |title=Introduction to Fourier Analysis on Euclidean Spaces |publisher=Princeton University Press |year=1971 |isbn=978-0-691-08078-9 |location=Princeton, N.J. |url-access=registration |url=https://archive.org/details/introductiontofo0000stei}}</ref> <ref name="Deitmar">{{citation |last1=Deitmar |first1=Anton |title=Principles of Harmonic Analysis |year=2014 |series=Universitext |edition=2 |doi=10.1007/978-3-319-05792-7 |isbn=978-3-319-05791-0 |last2=Echterhoff |first2=Siegfried}}</ref> <ref name="Katznelson">{{citation |last=Katznelson |first=Yitzhak |title=An introduction to harmonic analysis |edition=Second corrected |publisher=Dover Publications, Inc |year=1976 |location=New York |isbn=0-486-63331-4}}</ref> <ref name="Cohn">{{citation |first1=Henry |last1=Cohn |first2=Noam |last2=Elkies |title=New upper bounds on sphere packings I |journal=Ann. of Math. |series=2 |volume=157 |year=2003 |issue=2 |mr=1973059 |arxiv=math/0110009 |doi=10.4007/annals.2003.157.689 |pages=689–714}}</ref> <ref name="Kinayman">{{cite journal |last1=Kinayman |first1=Noyan |last2=Aksun |first2=M. I. |title=Comparative study of acceleration techniques for integrals and series in electromagnetic problems |journal=[[Radio Science]] |date=1995 |volume=30 |issue=6 |pages=1713–1722 |doi=10.1029/95RS02060 |bibcode=1995RaSc...30.1713K | author-link2=İrşadi Aksun |hdl=11693/48408 |hdl-access=free}}</ref> }} {{refbegin}}
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