We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
UNCERTAINTY PRINCIPLES ASSOCIATED WITH THE SHORT TIME QUATERNION COUPLED FRACTIONAL FOURIER TRANSFORM.
- Authors
Gupta, Bivek; Verma, Amit K.; Agarwal, Ravi P.
- Abstract
In this paper, we extend the coupled fractional Fourier transform of complex valued functions to that of the quaternion valued functions on R4 and call it the quaternion coupled fractional Fourier transform (QCFrFT). We obtain the sharp Hausdorff-Young inequality for QCFrFT and obtain the associated Rènyi uncertainty principle. We also define the short time quaternion coupled fractional Fourier transform (STQCFrFT) and explore its important properties followed by the Lieb's and entropy uncertainty principles.
- Subjects
FOURIER transforms; QUATERNIONS; QUATERNION functions; HEISENBERG uncertainty principle; QUANTUM entropy
- Publication
Matematicki Vesnik, 2024, Vol 76, Issue 1, p84
- ISSN
0025-5165
- Publication type
Article
- DOI
10.57016/MV-XtlG4184