\(p\)-adic wavelets and their applications
From MaRDI portal
Publication:483603
DOI10.1134/S0081543814040129zbMath1308.42031MaRDI QIDQ483603
Sergei V. Kozyrev, Vladimir Shelkovich, Andrei Yu. Khrennikov
Publication date: 17 December 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Pseudodifferential operators as generalizations of partial differential operators (35S05) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)
Related Items (8)
On non-compactly supported \(p\)-adic wavelets ⋮ Wavelet analysis on symbolic sequences and two-fold de Bruijn sequences ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Generalized multiresolution structures in reducing subspaces of local fields ⋮ Vector valued nonuniform nonstationary wavelets and associated MRA on local fields ⋮ Construction of nonuniform wavelet frames on non-Archimedean fields ⋮ Enhanced symmetry of the \(p\)-adic wavelets ⋮ Discrete wavelet transforms in Walsh analysis
Cites Work
- Pseudodifferential operators on ultrametric spaces and ultrametric wavelets
- APPLICATION OF p-ADIC ANALYSIS TO TIME SERIES
- Nonlocal operators, parabolic-type equations, and ultrametric random walks
- ULTRAMETRIC RANDOM FIELD
- Pseudo-Differential Operators in the p-Adic Lizorkin Space
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wavelet bases on adele rings
- Parabolic type equations and Markov stochastic processes on adeles
- Adelic multiresolution analysis, construction of wavelet bases and pseudo-differential operators
- Localization in space for a free particle in ultrametric quantum mechanics
- \(p\)-adic integral operators in wavelet bases
- \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
- Superanalysis, I. Differential calculus
- Fractional modified dyadic integral and derivative on \(\mathbb R_{+}\)
- P-adic Schrödinger-type equation
- A non-Archimedean wave equation
- Taibleson operators, \(p\)-adic parabolic equations and ultrametric diffusion
- Non-Haar \(p\)-adic wavelets and pseudodifferential operators
- On \(p\)-adic mathematical physics
- Frames of \(p\)-adic wavelets and orbits of the affine group
- Multidimensional basis of \(p\)-adic wavelets and representation theory
- An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators
- \(p\)-adic orthogonal wavelet bases
- Toward an ultrametric theory of turbulence
- \(p\)-adic refinable functions and MRA-based wavelets
- On wavelets related to the Walsh series
- Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations
- \(p\)-adic nonorthogonal wavelet bases
- Multidimensional ultrametric pseudodifferential equations
- Biorthogonal wavelets on Vilenkin groups
- Estimates of the smoothness of dyadic orthogonal wavelets of Daubechies type
- Superanalysis. II: Integral calculus
- p-adic space-time and string theory
- p-adic quantum mechanics
- Derivation of Freund-Witten adelic formula for four-point Veneziano amplitudes
- Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\)
- Multidimensional \(p\)-adic wavelets for the deformed metric
- Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields
- Pseudodifferential operators on Adele rings and wavelet bases
- On the Freund-Witten adelic formula for Veneziano amplitudes
- Schrödinger-type operator over \(p\)-adic number field
- A wavelet theory for local fields and related groups
- \(p\)-adic multiresolution analysis and wavelet frames
- \(p\) -adic semilinear evolutionary pseudodifferential equations in Lizorkin spaces
- Why are Haar bases in various structures the same?
- Riesz kernels and pseudodifferential operators attached to quadratic forms over \(p\)-adic fields
- Modified dyadic integral and fractional derivative on \(\mathbb R_{+}\)
- \(p\)-adic Schrödinger-type operator with point interactions
- Wavelets on ultrametric spaces
- Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
- Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics
- Harmonic analysis on \(n\)-dimensional vector spaces over local fields. I: Basic results on fractional integration
- Fundamental solutions of pseudo-differential operators over \(p\)-adic fields
- \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
- ON SIGNATURE CHANGE IN p-ADIC SPACE-TIMES
- BEYOND PLANCK ENERGY TO NON-ARCHIMEDEAN GEOMETRY
- THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY
- Orthogonal wavelets with compact support on locally compact Abelian groups
- Nondegenerate ultrametric diffusion
- Wavelets and spectral analysis of ultrametric pseudodifferential operators
- Generalized functions over the field ofp-adic numbers
- Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
- Ten Lectures on Wavelets
- Fourier Analysis on Local Fields. (MN-15)
- Fundamental solutions of pseudodifferential equations connected with $ p$-adic quadratic forms
- ON COMBINATORIAL ANALOGS OF THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE
- ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
- Pseudo-differential equations connected with p-adic forms and local zeta functions
- A dyadic analogue of Wiener's Tauberian theorem and some related questions
- Wavelet theory as $ p$-adic spectral analysis
- A modified strong dyadic integral and derivative
- Freund-Witten adelic formulae for Veneziano and Virasoro-Shapiro amplitudes
- Orthogonal Wavelets on the Cantor Dyadic Group
This page was built for publication: \(p\)-adic wavelets and their applications