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# Differential Operators and Spectral Theory: M. Sh. Birman’s 70th Anniversary Collection

### About this Title

**V. Buslaev**, *St. Petersburg State University, St. Petersburg, Russia*, **M. Solomyak**, *The Weizmann Institute of Science, Rehovot, Israel* and **D. Yafaev**, *Rennes University, Rennes, France*, Editors. Translated by **various translators**

Publication: American Mathematical Society Translations: Series 2

Publication Year
1999: Volume 189

ISBNs: 978-0-8218-1387-4 (print); 978-1-4704-3400-7 (online)

DOI: http://dx.doi.org/10.1090/trans2/189

MathSciNet review: MR1730498

MSC: Primary 00B30; Secondary 35-06, 47-06, 81-06

### Table of Contents

**Front/Back Matter**

**Chapters**

- V. Buslaev, M. Solomyak and D. Yafaev – On the scientific work of Mikhail Shlëmovich Birman
- List of publications of M. Sh. Birman
- Shmuel Agmon – Representation theorems for solutions of the Helmholtz equation on $\mathbb {R}^n$
- V. S. Buslaev – Kronig-Penney electron in a homogeneous electric field
- Eric A. Carlen and Elliott H. Lieb – A Minkowski type trace inequality and strong subadditivity of quantum entropy
- Percy Deift – Integrable operators
- Fritz Gesztesy and Barry Simon – On the determination of a potential from three spectra
- Rainer Hempel – Oscillatory eigenvalue branches for Schrödinger operators with strongly coupled magnetic fields
- Ira Herbst and Shu Nakamura – Schrödinger operators with strong magnetic fields: Quasi-periodicity of spectral orbits and topology
- Victor Ivrii – Heavy atoms in the superstrong magnetic field
- L. Kapitanski and Yu. Safarov – A parametrix for the nonstationary Schrödinger equation
- Vladimir Kozlov and Vladimir Maz’ya – Comparison principles for nonlinear operator differential equations in Banach spaces
- O. A. Ladyzhenskaya and G. A. Seregin – On disjointness of solutions to the MNS equations
- A. Laptev and Yu. Netrusov – On the negative eigenvalues of a class of Schrödinger operators
- Didier Robert – Semiclassical asymptotics for the spectral shift function
- G. Rozenblum and M. Solomyak – On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator
- M. A. Shubin – Elliptic boundary problems with relaxed conditions
- Alexander V. Sobolev – On the spectrum of the periodic magnetic Hamiltonian
- Timo Weidl – Another look at Cwikel’s inequality
- D. Yafaev – The discrete spectrum in the singular Friedrichs model
- G. Zhislin – Spectrum of the relative motion of many-particle systems in a homogeneous magnetic field: What do we know about it?