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All Journal Jurnal Matematika UNAND
Nora Madonna
Institut Teknologi Sumatera
Computer Science & IT Mathematics

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SHARP HAUSDORFF YOUNG INEQUALITY AND INVERSION FORMULA FOR THE COUPLED WINDOWED OFFSET FRACTIONAL FOURIER TRANSFORM Nasrullah Bachtiar; Erica Grace Simanjuntak; Nora Madonna
Jurnal Matematika UNAND Vol. 15 No. 3 (2026)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.15.3.325-334.2026

Abstract

This work presents the Sharp Hausdorff-Young inequality for the Coupled windowed offset fractional Fourier transform. The coupled windowed offset fractional Fourier transform can be regarded as a generalized version of the fractional windowed Fourier transform. Various properties, including an inversion formula, are studied in detail for the coupled windowed offset fractional Fourier transform. Additionally, relationships with both the two-dimensional Fourier transform and the two-dimensional coupled windowed fractional Fourier transform are also studied.
Co-Authors Erica Grace Simanjuntak Nasrullah Bachtiar