𝔖 Bobbio Scriptorium
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Potentials of zero radius and Carleman operators

✍ Scribed by V. A. Geiler; V. A. Margulis; I. I. Chuchaev


Book ID
105464427
Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
944 KB
Volume
36
Category
Article
ISSN
0037-4466

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Generalized Fourier Transform for Schröd
✍ Shmuel Agmon; Jaime Cruz-Sampedro; Ira Herbst 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 206 KB

We investigate the Schro dinger operator H=&2+V acting in L 2 (R n ), n 2, for potentials V that satisfy : x V(x)=O(|x| &|:| ) as |x| Ä . By introducing coordinates on R n closely related to a relevant eikonal equation we obtain an eigenfunction expansion for H at high energies.