Short-time special affine Fourier transform for quaternion-valued functions

DOI10.1007/s13398-022-01210-yzbMath1483.30093OpenAlexW4206918895MaRDI QIDQ2070486

Aajaz A. Teali, Hari M. Srivastava, Firdous Ahmad Shah

Publication date: 24 January 2022

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01210-y

zbMATH Keywords

quaternion-valued functionsquaternionic Fourier transforms

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (1)

The Weinstein transform associated with a family of generalized distributions

Cites Work

• Windowed Fourier transform of two-dimensional quaternionic signals
• The uncertainty principle: A mathematical survey
• Uncertainty principle for the quaternion Fourier transform
• Local quaternion Fourier transform and color image texture analysis
• New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
• A framework of linear canonical Hankel transform pairs in distribution spaces and their applications
• Linear canonical wavelet transform in quaternion domains
• Link theorem and distributions of solutions to uncertain Liouville-Caputo difference equations
• Windowed special affine Fourier transform
• Quaternion windowed linear canonical transform of two-dimensional signals
• Nonuniform sampling theorems for bandlimited signals in the offset linear canonical transform
• Shift-invariant and sampling spaces associated with the special affine Fourier transform
• Quaternion and Clifford Fourier Transforms and Wavelets
• Pitt's Inequality and the Uncertainty Principle
• Real Quaternionic Calculus Handbook
• Special affine wavelet transform and the corresponding Poisson summation formula
• Uncertainty principles for the two‐sided offset quaternion linear canonical transform
• Generalized uncertainty principles associated with the quaternionic offset linear canonical transform
• Lecture Notes on Wavelet Transforms

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