AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
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
ReadershipTable 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?