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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

2 votes
2 answers
257 views

Meromorphic extension of solutions to ODEs

I encountered the following question in my studies: Let us assume we have a real anlaytic solution to an ODE on $\mathbb{R}$ of Schr\"odinger type $-\psi''(x)+V(x)\psi(x)=\lambda \psi(x)$ but we as …
Zehner's user avatar
  • 167
0 votes
1 answer
211 views

Heat semigroup dissipative

Consider the heat semigroup on $L^1(\mathbb{R}).$ I would like to know if the generator of this semigroup is dissipative in the sense of this definition. On $L^2$ it would be completely trivial, but …
Zehner's user avatar
  • 167