Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields
DOI10.2977/prims/1166642111zbMath1165.35491arXivmath-ph/0504026OpenAlexW2142843471MaRDI QIDQ2471375
Publication date: 22 February 2008
Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0504026
Igusa local zeta functionexponential sums modulo \(p^m\)restriction of Fourier transformsnon-archimedean pseudo-differential equations
Zeta functions and (L)-functions (11S40) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Initial value problems for PDEs with pseudodifferential operators (35S10)
Related Items (4)
Cites Work
- Quelques applications du théorème de densité de Chebotarev
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- p-adic quantum mechanics
- Newton polyhedra and Igusa's local zeta function
- Restriction and Kakeya phenomena for finite fields
- Inequalities for strongly singular convolution operators
- Igusa's local zeta functions of semiquasihomogeneous polynomials
- A Schrödinger-type equation over the field of p-adic numbers
- Quantum mechanics on p-adic fields
- Fourier Analysis on Local Fields. (MN-15)
- Local zeta functions and Newton polyhedra
- A restriction theorem for the Fourier transform
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Decay of solutions of wave-type pseudo-differential equations over \(p\)-adic fields
