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Fractional Fourier transformation of Schwartz test functions

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Publication:2011334
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DOI10.1007/s40574-019-00195-8zbMath1443.46025OpenAlexW2911706964WikidataQ128391645 ScholiaQ128391645MaRDI QIDQ2011334

Saleh Abdullah, Bushra Elshatarat

Publication date: 6 December 2019

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-019-00195-8


zbMATH Keywords

tempered distributionconvolutionsfractional Fourier transformtest function spaceSchwartz distribution space


Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)


Related Items

Fractional Clifford-Fourier transform and its application



Cites Work

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  • Fractional Fourier transform in the framework of fractional calculus operators
  • Fractional transformations of generalized functions
  • On Namias's Fractional Fourier Transforms
  • A distributional approach to Namias' fractional Fourier transforms
  • The Fractional Order Fourier Transform and its Application to Quantum Mechanics
  • Fractional fourier transform of generalized functions
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