Recent Developments in Wavelet Transforms and Their Applications
A special issue of Mathematics (ISSN 2227-7390).
Deadline for manuscript submissions: closed (30 September 2017) | Viewed by 6389
Special Issue Editors
Interests: applied mathematics; applied partial differential equations; integral transforms; fluid dynamics; continuum mechanics; nonlinear waves; wave motions in fluids and solids
Interests: wavelet; frames, numerical solution of differential and integral equations
Special Issue Information
Dear Colleagues,
Wavelet transforms serve as an important and powerful computational tool for describing complex systems and analyzing empirical continuous data obtained from many kinds of signals at different scales of resolution. They have been successfullyapplied for a wide range of problems arising in physics, mathematics, and engineering, especially in signal processing, image processing, sampling theory, differential and integral equations, function spaces, quantum mechanics, neurosciences, astrophysics, computer sciences, neural networks, nanotechnology, and medicine. Over the last couple of decades, there had been a continuous research effort in the study of wavelet transforms to develop new mathematical transforms, based on wavelets, including ridgelets, curvelets, contourlets, surfacelets, flaglets, beamlets, platelets, and shearlets. In addition to these, there has been a considerable interest in the problem of constructing wavelet bases on various spaces other than R, such as abstract Hilbert spaces, locally compact Abelian groups, p-adic fields, Hyrer-groups, Lie groups, and manifolds.
The main purpose of this Special Issue is to provide a multidisciplinary forum for contributions on these new ways of constructing wavelets and the most recent advances in its applications to real world problems. This Special Issue will also be an opportunity for extending the research fields of differential and integral equations, harmonic analysis, signal and image processing, approximation theory and practical studies of Physics and Engineering. This Special Issue is expected to welcome articles of significant and original results and survey articles of exceptional merit, which are closely related to wavelet transforms in either theoretical or applicative sense.
Potential topics include, but are not limited to:
- Continuous wavelet transforms
- Discrete wavelet transforms
- Fractional wavelet transforms
- Uncertainty principles
- Wavelet frames
- Contineous frames
- Shearlets
- Wavelets on manifolds
- Wavelets on p-adic fields
- Wavelets on Lie groups
- Applications
Prof. Dr. Lokenath Debnath
Dr. Firdous Ahmad Shah
Guest Editors
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Keywords
- Wavelet transform
- Wavelet frame
- Contineous frames
- Uncertainty principle
- Fractional wavelet
- Ridgelet
- Countourlet
- Shearlet
- Surfacelet
- curvelets
- Manifolds
- Local fields
- p-adic fields
- Lie groups
- LCAG groups
- Image processing
- Differential and integral equations
- Deniosing, Shrinkage
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