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Representations of rapidly decaying functions by the Maslov canonical operator
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dobrokhotov, Sergei Yu. Tirozzi, Brunello Shafarevich, Andrei Igorevich |
| Copyright Year | 2007 |
| Abstract | The function V (x/μ) rapidly decreases as μ → +0 in the exterior of a small neighborhood of the point x = 0. In order to study asymptotic solutions of the Cauchy problem with initial condition of the form (2) for partial differential equations, the expression on the right-hand side of Eq. (2) can be rewritten as the Maslov canonical operator [1] K Λδ on the LagrangianmanifoldΛδ = {p = α, x = 0, α ∈ R n} (a plane), acting on the function V (α) defined on Λδ: |
| Starting Page | 713 |
| Ending Page | 717 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.1134/S0001434607110144 |
| Volume Number | 82 |
| Alternate Webpage(s) | https://page-one.springer.com/pdf/preview/10.1134/S0001434607110144 |
| Alternate Webpage(s) | https://doi.org/10.1134/S0001434607110144 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
