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Curvature invariants, volume functions and spectral expansions

✍ Scribed by Zvi Har'el


Book ID
104641813
Publisher
Springer
Year
1982
Tongue
English
Weight
357 KB
Volume
13
Category
Article
ISSN
0046-5755

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The Spectral Shift Function and the Inva
✍ Alexander Pushnitski 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 308 KB

The new representation formula for the spectral shift function due to F. Gesztesy and K. A. Makarov is considered. This formula is extended to the case of relatively trace class perturbations. The proof is based on the analysis of a certain new unitary invariant for a pair of self-adjoint operators.