The Method of Ascent and cos(sqrt(A^2+b^2))
| dc.creator | Kannai, Yakar | |
| dc.date | 1999-09-23 | |
| dc.date.accessioned | 2026-07-07T05:30:52Z | |
| dc.date.available | 2026-07-07T05:30:52Z | |
| dc.description | The fundamental solution for the wave equation in n variables is built from the simple one-dimensional formula, via an integral representation of the cosine of the sum of squares of self-adjoint operators. Representation formulas are given both in the commutative and non-commutative case. The formulas are illustrated for the wave equation as well as for the Klein-Gordon equati on. As examples for the non-commuting case, we discuss the harmonic oscillator and simple sum of squares hypoelliptic operators such as the Grushin operator and the Heisenberg Laplacian. | |
| dc.description | Latex2e | |
| dc.identifier | https://arxiv.org/abs/math/9909139 | |
| dc.identifier | http://arxiv.org/abs/math/9909139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79142 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Functional Analysis | |
| dc.subject | 35L15 (Primary) 35C99 35L05 47D03 (Secondary) | |
| dc.title | The Method of Ascent and cos(sqrt(A^2+b^2)) | |
| dc.type | text |