The continuous quaternion wavelet transform on distribution spaces

DOI10.1007/s12215-024-01180-7MaRDI QIDQ6667735

Awniya Kumar, Aparna Das, Drema Lhamu, Sunil Kumar Singh

Publication date: 20 January 2025

Published in: Rendiconti del Circolo Matematico di Palermo (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceBesov spacequaternionscontinuous quaternion wavelet transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral transforms in distribution spaces (46F12) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Besov spaces and (Q_p)-spaces (30H25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A natural convolution of quaternion valued functions and its applications
• Two-dimensional quaternion wavelet transform
• Two-dimensional directional wavelets and the scale-angle representation
• The quaternion Fourier and wavelet transforms on spaces of functions and distributions
• The wavelet transform
• A variation on uncertainty principle and logarithmic uncertainty principle for continuous quaternion wavelet transforms
• Quaternion and Clifford Fourier transforms and wavelets. Papers from a session of the 9th international conference on Clifford algebras and their applications, ICCA9, Weimar, Germany, July 15--20, 2011
• Convolution theorems for quaternion Fourier transform: properties and applications
• An uncertainty principle for quaternion Fourier transform
• Boundedness of the wavelet integral operator on weighted function spaces
• Quaternion Fourier transform on quaternion fields and generalizations
• Wavelets in a generalized Sobolev space
• Linear partial differential operators and generalized distributions
• A course in distribution theory and applications
• Wavelet Transforms and Their Applications
• Weighted Young's Inequality and Convolution Theorems on Weighted Besov Spaces
• BESOV NORMS IN TERMS OF THE CONTINUOUS WAVELET TRANSFORM. APPLICATION TO STRUCTURE FUNCTIONS
• Quaternion Fourier Transforms for Signal and Image Processing
• The continuous quaternion wavelet transform on function spaces

This page was built for publication: The continuous quaternion wavelet transform on distribution spaces