Zobrazeno 1 - 10
of 48
pro vyhledávání: '"M. Solomyak"'
This volume contains a collection of original papers in mathematical physics, spectral theory, and differential equations. The papers are dedicated to the outstanding mathematician, Professor M. Sh. Birman, on the occasion of his 70th birthday. Contr
Autor:
M. Solomyak, T. Suslina
Publikováno v:
American Mathematical Society Translations: Series 2. :1-15
Autor:
A.V. Sobolev, M. Solomyak
Publikováno v:
Reviews in Mathematical Physics. 14:421-467
The paper studies the spectral properties of the Schr\"odinger operator $A_{gV} = A_0 + gV$ on a homogeneous rooted metric tree, with a decaying real-valued potential $V$ and a coupling constant $g\ge 0$. The spectrum of the free Laplacian $A_0 = -\D
Publikováno v:
Differential Operators and Spectral Theory. :1-15
Autor:
K. Naimark, M. Solomyak
Publikováno v:
Journal of Functional Analysis. 151:504-530
We study the behavior of the eigenvalue distribution functionn(λ) for the equation−λu″=Vuon R+,u(0)=0.Typically,n(λ)=O(λ−1/2) and, moreover,λ1/2n(λ)→π−1∫Vdxasλ→0. We obtain criteria for each of these relations. Examples are pres
Autor:
M. Solomyak, E. Verbitsky
Publikováno v:
Bulletin of the London Mathematical Society. 27:242-248
Autor:
M. Solomyak, K. Naimark
Publikováno v:
Mathematical Research Letters. 2:279-298
Autor:
M. Solomyak
Publikováno v:
Representation Theory and Dynamical Systems. :231-240
Estimates for the number of negative eigenvalues of the Schrödinger operator and its generalizations
Autor:
M. Solomyak, M. Birman
Publikováno v:
ADVSOV. :1-56
Publikováno v:
ADVSOV. :85-106