Differential operators and spectral theory. M. Sh. Birman’s 70th anniversary collection. (English) Zbl 0911.00011

Translations. Series 2. American Mathematical Society (AMS). Advances in the Mathematical Sciences. 189(41). Providence, RI: American Mathematical Society (AMS). viii, 285 p. (1999).

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The articles of this volume will be reviewed individually.
Indexed articles:
Buslaev, V.; Solomyak, M.; Yafaev, D., On the scientific work of Mikhail Shlëmovich Birman. List of publications of M. Sh. Birman, 1-15, 17-26 [Zbl 1026.01503]
Agmon, Shmuel, Representation theorem for solutions of the Helmholtz equation on \(\mathbb{R}^n\), 27-43 [Zbl 0922.35042]
Buslaev, V. S., Kronig-Penney electron in a homogeneous electric field, 45-57 [Zbl 0935.34072]
Carlen, Eric A.; Lieb, Elliott H., A Minkowski type trace inequality and strong subadditivity of quantum entropy, 59-68 [Zbl 0933.47014]
Deift, Percy, Integrable operators, 69-84 [Zbl 0920.35105]
Gesztesy, Fritz; Simon, Barry, On the determination of a potential from three spectra, 85-92 [Zbl 0922.34008]
Hempel, Rainer, Oscillatory eigenvalue branches for Schrödinger operators with strongly coupled magnetic fields, 93-104 [Zbl 0922.35104]
Herbst, Ira; Nakamura, Shu, Schrödinger operators with strong magnetic fields: Quasi-periodicity of spectral orbits and topology, 105-123 [Zbl 0921.35142]
Ivrii, Victor, Heavy atoms in a superstrong magnetic field, 125-137 [Zbl 0959.35142]
Kapitanski, L.; Safarov, Yu., A parametrix for the nonstationary Schrödinger equation, 139-148 [Zbl 0922.35144]
Kozlov, Vladimir; Maz’ya, Vladimir, Comparison principles for nonlinear operator differential equations in Banach spaces, 149-157 [Zbl 0923.34057]
Ladyzhenskaya, O. A.; Seregin, G. A., On disjointness of solutions to the MNS equations, 159-172 [Zbl 0924.35098]
Laptev, A.; Netrusov, Yu., On the negative eigenvalues of a class of Schrödinger operators, 173-186 [Zbl 0941.35055]
Robert, Didier, Semiclassical asymptotics for the spectral shift function, 187-203 [Zbl 0922.35108]
Rozenblum, G.; Solomyak, M., On the number of negative eigenvalues for the two-dimensional magnetic Schrödinger operator, 205-217 [Zbl 0920.35101]
Shubin, M. A., Elliptic boundary value problems with relaxed conditions, 219-231 [Zbl 0923.35053]
Sobolev, Alexander V., On the spectrum of the periodic magnetic Hamiltonian, 233-245 [Zbl 0920.35100]
Weidl, Timo, Another look at Cwikel’s inequality, 247-254 [Zbl 0922.35106]
Yafaev, D., The discrete spectrum in the singular Friedrichs model, 255-274 [Zbl 0923.35111]
Zhislin, G., Spectrum of the relative motion of many-particle systems in a homogeneous magnetic field: What do we know about it?, 275-285 [Zbl 0922.35103]

MSC:

00B15	Collections of articles of miscellaneous specific interest
35-06	Proceedings, conferences, collections, etc. pertaining to partial differential equations
35Pxx	Spectral theory and eigenvalue problems for partial differential equations
35Qxx	Partial differential equations of mathematical physics and other areas of application

Keywords:

Differential operators; Spectral theory; Anniversary collection