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A discretization of the continuous fourier transform

✍ Scribed by R. G. Campos; L. Z. Juárez


Book ID
112833737
Publisher
Springer-Verlag,Italian Physical Society
Year
1992
Weight
356 KB
Volume
107
Category
Article
ISSN
0369-3554

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Continuous vs. discrete fractional Fouri
✍ Natig M. Atakishiyev; Luis Edgar Vicent; Kurt Bernardo Wolf 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 457 KB

We compare the ÿnite Fourier (-exponential) and Fourier-Kravchuk transforms; both are discrete, ÿnite versions of the Fourier integral transform. The latter is a canonical transform whose fractionalization is well deÿned. We examine the harmonic oscillator wavefunctions and their ÿnite counterparts: