Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 p-Adic Analysis: Essential Ideas and Results
- 2 Ultrametric Geometry: Cluster Networks and Buildings
- 3 p-Adic Wavelets
- 4 Ultrametricity in the Theory of Complex Systems
- 5 Some Applications of Wavelets and Integral Operators
- 6 p-Adic and Ultrametric Models in Geophysics
- 7 Recent Development of the Theory of p-Adic Dynamical Systems
- 8 Parabolic-Type Equations, Markov Processes, and Models of Complex Hierarchical Systems
- 9 Stochastic Heat Equation Driven by Gaussian Noise
- 10 Sobolev-Type Spaces and Pseudodifferential Operators
- 11 Non-Archimedean White Noise, Pseudodifferential Stochastic Equations, and Massive Euclidean Fields
- 12 Heat Traces and Spectral Zeta Functions for p-Adic Laplacians
- References
- Index
3 - p-Adic Wavelets
Published online by Cambridge University Press: 10 May 2018
- Frontmatter
- Dedication
- Contents
- Preface
- 1 p-Adic Analysis: Essential Ideas and Results
- 2 Ultrametric Geometry: Cluster Networks and Buildings
- 3 p-Adic Wavelets
- 4 Ultrametricity in the Theory of Complex Systems
- 5 Some Applications of Wavelets and Integral Operators
- 6 p-Adic and Ultrametric Models in Geophysics
- 7 Recent Development of the Theory of p-Adic Dynamical Systems
- 8 Parabolic-Type Equations, Markov Processes, and Models of Complex Hierarchical Systems
- 9 Stochastic Heat Equation Driven by Gaussian Noise
- 10 Sobolev-Type Spaces and Pseudodifferential Operators
- 11 Non-Archimedean White Noise, Pseudodifferential Stochastic Equations, and Massive Euclidean Fields
- 12 Heat Traces and Spectral Zeta Functions for p-Adic Laplacians
- References
- Index
Summary
- Type
- Chapter
- Information
- Publisher: Cambridge University PressPrint publication year: 2018