Relevant bibliographies by topics / Poisson summation formulass

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Poisson summation formulass'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 February 2022

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Journal articles on the topic "Poisson summation formulass"

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Farashahi, Arash Ghaani. "Abstract Poisson summation formulas over homogeneous spaces of compact groups." Analysis and Mathematical Physics 7, no. 4 (2016): 493–508. http://dx.doi.org/10.1007/s13324-016-0156-2.

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Unterberger, André. "A spectral analysis of automorphic distributions and Poisson summation formulas." Annales de l’institut Fourier 54, no. 5 (2004): 1151–96. http://dx.doi.org/10.5802/aif.2048.

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Nguyen, Ha Q., Michael Unser, and John Paul Ward. "Generalized Poisson Summation Formulas for Continuous Functions of Polynomial Growth." Journal of Fourier Analysis and Applications 23, no. 2 (2016): 442–61. http://dx.doi.org/10.1007/s00041-016-9475-9.

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Girgensohn, Roland. "Poisson Summation Formulas and Inversion Theorems for an Infinite Continuous Legendre Transform." Journal of Fourier Analysis and Applications 11, no. 2 (2005): 151–73. http://dx.doi.org/10.1007/s00041-005-3073-6.

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Yakubovich, Semyon. "New summation and transformation formulas of the Poisson, Müntz, Möbius and Voronoi type." Integral Transforms and Special Functions 26, no. 10 (2015): 768–95. http://dx.doi.org/10.1080/10652469.2015.1051483.

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Hrabova, U. Z., and I. V. Kal'chuk. "Approximation of the classes $W^{r}_{\beta,\infty}$ by three-harmonic Poisson integrals." Carpathian Mathematical Publications 11, no. 2 (2019): 321–34. http://dx.doi.org/10.15330/cmp.11.2.321-334.

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In the paper, we solve one extremal problem of the theory of approximation of functional classes by linear methods. Namely, questions are investigated concerning the approximation of classes of differentiable functions by $\lambda$-methods of summation for their Fourier series, that are defined by the set $\Lambda =\{{{\lambda }_{\delta }}(\cdot )\}$ of continuous on $\left[ 0,\infty \right)$ functions depending on a real parameter $\delta$. The Kolmogorov-Nikol'skii problem is considered, that is one of the special problems among the extremal problems of the theory of approximation. That is,
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HOGAN, J. A., and J. D. LAKEY. "SAMPLING AND OVERSAMPLING IN SHIFT-INVARIANT AND MULTIRESOLUTION SPACES I: VALIDATION OF SAMPLING SCHEMES." International Journal of Wavelets, Multiresolution and Information Processing 03, no. 02 (2005): 257–81. http://dx.doi.org/10.1142/s0219691305000798.

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We ask what conditions can be placed on generators φ of principal shift invariant spaces to ensure the validity of analogues of the classical sampling theorem for bandlimited signals. Critical rate sampling schemes lead to expansion formulas in terms of samples, while oversampling schemes can lead to expansions in which function values depend only on nearby samples. The basic techniques for validating such schemes are built on the Zak transform and the Poisson summation formula. Validation conditions are phrased in terms of orthogonality, smoothness, and self-similarity, as well as bandlimited
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Rovenska, O. "APPROXIMATION OF CLASSES OF POISSON INTEGRALS BY REPEATED FEJER SUMS." Bukovinian Mathematical Journal 8, no. 2 (2020): 114–21. http://dx.doi.org/10.31861/bmj2020.02.10.

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The paper is devoted to the approximation by arithmetic means of Fourier sums of classes of periodic functions of high smoothness. The simplest example of a linear approximation of continuous periodic functions of a real variable is the approximation by partial sums of the Fourier series. The sequences of partial Fourier sums are not uniformly convergent over the class of continuous periodic functions. A significant number of works is devoted to the study of other approximation methods, which are generated by transformations of Fourier sums and allow us to construct trigonometrical polynomials
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Fischer, Jens. "Four Particular Cases of the Fourier Transform." Mathematics 6, no. 12 (2018): 335. http://dx.doi.org/10.3390/math6120335.

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In previous studies we used Laurent Schwartz’ theory of distributions to rigorously introduce discretizations and periodizations on tempered distributions. These results are now used in this study to derive a validity statement for four interlinking formulas. They are variants of Poisson’s Summation Formula and connect four commonly defined Fourier transforms to one another, the integral Fourier transform, the Discrete-Time Fourier Transform (DTFT), the Discrete Fourier Transform (DFT) and the integral Fourier transform for periodic functions—used to analyze Fourier series. We prove that under
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Dissertations / Theses on the topic "Poisson summation formulass"

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Wu, Dongsheng. "Eigenvalues of Differential Operators and Nontrivial Zeros of L-functions." BYU ScholarsArchive, 2020. https://scholarsarchive.byu.edu/etd/8729.

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The Hilbert-P\'olya conjecture asserts that the non-trivial zeros of the Riemann zeta function $\zeta(s)$ correspond (in a certain canonical way) to the eigenvalues of some positive operator. R. Meyer constructed a differential operator $D_-$ acting on a function space $\H$ and showed that the eigenvalues of the adjoint of $D_-$ are exactly the nontrivial zeros of $\zeta(s)$ with multiplicity correspondence. We follow Meyer's construction with a slight modification. Specifically, we define two function spaces $\H_\cap$ and $\H_-$ on $(0,\infty)$ and characterize them via the Mellin transform.
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Ravindran, Hari Alangat. "On Shifted Convolution Sums Involving the Fourier Coefficients of Theta Functions Attached to Quadratic Forms." The Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1406039690.

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Book chapters on the topic "Poisson summation formulass"

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Tolimieri, Richard, and Myoung An. "Poisson summation formula." In Time-Frequency Representations. Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-4152-2_4.

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Miller, Stephen D., and Wilfried Schmid. "Summation formulas, from Poisson and Voronoi to the present." In Noncommutative Harmonic Analysis. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8204-0_15.

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Freeden, W., and P. Hermann. "Some Reflections on Multidimensional Euler and Poisson Summation Formulas." In Multivariate Approximation Theory III. Birkhäuser Basel, 1985. http://dx.doi.org/10.1007/978-3-0348-9321-3_16.

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Faifman, Dmitry. "A Family of Unitary Operators Satisfying a Poisson-Type Summation Formula." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29849-3_11.

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Freeden, Willi, and M. Zuhair Nashed. "Poisson-Type Summation Formulas over Euclidean Spaces." In Lattice Point Identities and Shannon-Type Sampling. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429355103-18.

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"One-Dimensional Euler and Poisson Summation Formulas." In Metaharmonic Lattice Point Theory. Chapman and Hall/CRC, 2011. http://dx.doi.org/10.1201/b10876-10.

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"Poisson summation formula for manifolds with boundary." In Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems 2e. John Wiley & Sons, Inc., 2016. http://dx.doi.org/10.1002/9781119107682.ch4.

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"The Poisson Summation Formula and the functional equation." In An Introduction to the Theory of the Riemann Zeta-Function. Cambridge University Press, 1988. http://dx.doi.org/10.1017/cbo9780511623707.004.

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Freeden, Willi, and M. Zuhair Nashed. "Shannon-Type Sampling Based on Poisson-Type Summation Formulas." In Lattice Point Identities and Shannon-Type Sampling. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429355103-16.

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Freeden, Willi, and M. Zuhair Nashed. "Euler/Poisson-Type Summation Formulas and Shannon-Type Sampling." In Lattice Point Identities and Shannon-Type Sampling. Chapman and Hall/CRC, 2019. http://dx.doi.org/10.1201/9780429355103-4.

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Conference papers on the topic "Poisson summation formulass"

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Nguyen, Ha Q., and Michael Unser. "Generalized poisson summation formula for tempered distributions." In 2015 International Conference on Sampling Theory and Applications (SampTA). IEEE, 2015. http://dx.doi.org/10.1109/sampta.2015.7148838.

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