The construction of \(p\)-adic Stockwell transform and its spectra
DOI10.1134/S2070046621020047zbMath1490.46073OpenAlexW3163976490MaRDI QIDQ826039
Publication date: 18 December 2021
Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s2070046621020047
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)
Cites Work
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- On the wavelet transform in the field \(\mathbb Q_p\) of \(p\)-adic numbers
- On the range of Stockwell transforms
- A Characterization of Stockwell Spectra
- Modified Stockwell Transforms and Time-Frequency Analysis
- Ten Lectures on Wavelets
- A Primer on Hilbert Space Theory
- Continuous and discrete inversion formulas for the Stockwell transform
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