Generalized Fourier transforms based on quantum uncertainty principle
نویسندگان
چکیده
منابع مشابه
The Uncertainty Principle for Fourier Transforms on the Real Line
This paper will explore the heuristic principle that a function on the line and its Fourier transform cannot both be concentrated on small sets. We begin with the basic properties of the Fourier transform and show that a function and its Fourier transform cannot both have compact support. From there we prove the Fourier inversion theorem and use this to prove the classical uncertainty principle...
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ژورنال
عنوان ژورنال: Bulletin of the National Technical University "KhPI". A series of "Information and Modeling"
سال: 2017
ISSN: 2411-0558,2079-0031
DOI: 10.20998/2411-0558.2017.21.09