Summability methods | Theorems in analysis | Lattice points | Fourier analysis | Generalized functions

Poisson summation formula

In mathematics, the Poisson summation formula is an equation that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier transform. Consequently, the periodic summation of a function is completely defined by discrete samples of the original function's Fourier transform. And conversely, the periodic summation of a function's Fourier transform is completely defined by discrete samples of the original function. The Poisson summation formula was discovered by Siméon Denis Poisson and is sometimes called Poisson resummation. (Wikipedia).

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Learn to use summation notation for an arithmetic series to find the sum

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From playlist Series

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Computing the Sums of Finite Series with Formulas

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From playlist Precalculus and Algebra

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Find a Partial Sum Using Summation Formula: Sum(5i^3-2i)

This video explains how to determine a partial sum given in sigma notation using summation formulas. http://mathispower4u.com

From playlist Series (Algebra)

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From playlist Series (Algebra)

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Given summation notation, learn how to find the sum of a finite series

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From playlist Series

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Finding the sum or an arithmetic series using summation notation

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is

From playlist Series

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Poisson Kernel

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From playlist Integrals

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Peter Sarnak, Summation formulae in spectral theory and number theory [2021]

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From playlist Number Theory

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Using sigma sum notation to evaluate the partial sum

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From playlist Series

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From playlist Series (Algebra)

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From playlist 2022 Summer School on the Langlands program

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Jayce Getz: New avenues for the circle method, Lecture III

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From playlist Hausdorff School "The Circle Method"

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From playlist Mathematics

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Jayce Getz: New avenues for the circle method, Lecture II

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From playlist Hausdorff School "The Circle Method"

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From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007

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Jayce Getz: New avenues for the circle method, Lecture I

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From playlist Hausdorff School "The Circle Method"

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Pre-recorded lecture 18: Nijenhuis pencils and second cohomology theory

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From playlist MATRIX-SMRI Symposium: Nijenhuis Geometry companion lectures (Sino-Russian Mathematical Centre)

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From playlist Series (Algebra)

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OCR MEI Statistics 2 3.04 Approximating a Binomial or Poisson with a Normal Distribution

Thanks for watching! Please like my new Facebook page https://www.facebook.com/TLMaths-1943955188961592/ to keep you updated with future videos :-)

From playlist [OLD SPEC] TEACHING OCR MEI STATISTICS 2 (S2)

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Locally compact abelian group | Pontryagin duality | Geometry of numbers | Indicator function | Sphere packing | Dirac comb | Fourier series | Mathematical analysis | Heat kernel | Modular form | Sampling (signal processing) | Explicit formulae for L-functions | Sides of an equation | Siméon Denis Poisson | Atle Selberg | Ewald summation | Nyquist–Shannon sampling theorem | Post's inversion formula | Convolution theorem | Mathematics | Dirac delta function | Function (mathematics) | Riemann zeta function | Distribution (mathematics) | Voronoi formula | Discrete-time Fourier transform | Euclidean space | Dual lattice | Heat equation | Number theory | Integration by substitution | Theta function | Dominated convergence theorem | Fundamental solution | Lp space | Periodic summation | Pointwise convergence | Fourier transform | Harmonic analysis | Cesàro summation