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A remark on finiteness of the lower spectrum of uniformly elliptic operators with singular potentials

✍ Scribed by Kazuhiro Kurata


Publisher
SP Birkhäuser Verlag Basel
Year
2000
Tongue
English
Weight
277 KB
Volume
36
Category
Article
ISSN
0378-620X

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📜 SIMILAR VOLUMES


On the spectrum of Schrödinger operators
✍ Kazunori Ando; Yusuke Higuchi 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 220 KB

We study the spectrum of Schrödinger operators with a uniform potential on the lth shell of the d-regular tree. As a result, we show the relationship between the spectral structure and the intensities of the potential. Furthermore we completely determine the discrete eigenvalues with their multiplic