Theory of p-adic distributions linear and nonlinear models
This 2010 book was the first devoted to the theory of p-adic wavelets and pseudo-differential equations in the framework of distribution theory. This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, im...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2010
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| Schriftenreihe: | London Mathematical Society lecture note series
370 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 URL des Erstveröffentlichers |
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Inhaltsangabe:
- P-adic numbers
- P-adic functions
- P-adic integration theory
- P-adic distributions
- Some results from p-adic p-adic L-theories
- The theory of associated and quasi associated homogeneous p-adic distribution
- P-adic Lizorkin spaces of the test functions and distributions
- The theory of P-adic wavelets
- Pseudo-differential operators on the p-adic Lizorkin spaces
- Pseudo-differential equation
- A p-adic =Schrodinger-type operator with interactions
- Distributional asymptotic and p-adic Tauberian theorems
- Asymptotics of the p-adic singular Fourier integrals
- Nonlinear theories of p-adic generalized functions
- The theory of associated and quasi associated homogeneous real distributions
- Two identities
- Proof of a theorem on weak asymptotic expansions
- One natural way to introduce a measure on Qp