-
1
-
-
0001215659
-
Convex functions of operators
-
F. A. Berezin, "Convex functions of operators," Mat. Sb. (N.S.) 88(130), 268-276 (1972).
-
(1972)
Mat. Sb. (N.S.)
, vol.88
, Issue.130
, pp. 268-276
-
-
Berezin, F.A.1
-
2
-
-
0003260554
-
Quantitative Analysis in Sobolev Imbedding Theorems and Applications to Spectral Theory
-
Series 2, American Mathematical Society, Providence, RI
-
M. Š. Birman and M. Z. Solomjak, Quantitative Analysis in Sobolev Imbedding Theorems and Applications to Spectral Theory, American Mathematical Society Translations, Series 2 Vol. 114 (American Mathematical Society, Providence, RI, 1980).
-
(1980)
American Mathematical Society Translations
, vol.114
-
-
Birman, M.Š.1
Solomjak, M.Z.2
-
3
-
-
84972491111
-
The asymptotic distribution of the eigenvalues for a class of Markov operators
-
R. M. Blumenthal and R. K. Getoor, "The asymptotic distribution of the eigenvalues for a class of Markov operators," Pacific J. Math. 9, 399-408 (1959).
-
(1959)
Pacific J. Math.
, vol.9
, pp. 399-408
-
-
Blumenthal, R.M.1
Getoor, R.K.2
-
4
-
-
84863469913
-
Hitchhiker's guide to the fractional Sobolev spaces
-
E. Di Nezza, G. Palatucci, and E. Valdinoci, "Hitchhiker's guide to the fractional Sobolev spaces," Bull. Sci. Math. 136(5), 521-573 (2012).
-
(2012)
Bull. Sci. Math.
, vol.136
, Issue.5
, pp. 521-573
-
-
Di Nezza, E.1
Palatucci, G.2
Valdinoci, E.3
-
5
-
-
84902290752
-
Refined semiclassical asymptotics for fractional powers of the Laplace operator
-
(to be published); preprint arXiv:1105:5181
-
R. L. Frank and L. Geisinger, "Refined semiclassical asymptotics for fractional powers of the Laplace operator," J. Reine Angew. Math. (to be published); preprint arXiv:1105:5181.
-
J. Reine Angew. Math.
-
-
Frank, R.L.1
Geisinger, L.2
-
6
-
-
79960343156
-
Two-Term Spectral Asymptotics for the Dirichlet Laplacian on a Bounded Domain
-
(World Scientific Publishing, Hackensack, NJ
-
R. L. Frank and L. Geisinger, Two-Term Spectral Asymptotics for the Dirichlet Laplacian on a Bounded Domain, Mathematical Results in Quantum Physics (World Scientific Publishing, Hackensack, NJ, 2011), pp. 138-147.
-
(2011)
Mathematical Results in Quantum Physics
, pp. 138-147
-
-
Frank, R.L.1
Geisinger, L.2
-
7
-
-
77955878998
-
Remarks on eigenvalue estimates and semigroup domination
-
American Mathematical Society, Providence, RI
-
R. L. Frank, "Remarks on eigenvalue estimates and semigroup domination," Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics Vol. 500 (American Mathematical Society, Providence, RI, 2009), pp. 63-86.
-
(2009)
Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics
, vol.500
, pp. 63-86
-
-
Frank, R.L.1
-
8
-
-
84994112823
-
Geometrical versions of improved Berezin-Li-Yau inequalities
-
L. Geisinger, A. Laptev, and T. Weidl, "Geometrical versions of improved Berezin-Li-Yau inequalities," J. Spectr. Theory 1(1), 87-109 (2011).
-
(2011)
J. Spectr. Theory
, vol.1
, Issue.1
, pp. 87-109
-
-
Geisinger, L.1
Laptev, A.2
Weidl, T.3
-
9
-
-
84886817376
-
s on domains in d-dimensional Euclidean space
-
s on domains in d-dimensional Euclidean space," J. Math Phys. 54, 103501 (2013).
-
(2013)
J. Math Phys.
, vol.54
, pp. 103501
-
-
Hatzinikitas, A.N.1
-
11
-
-
0003306322
-
Microlocal Analysis and Precise Spectral Asymptotics
-
Springer-Verlag, Berlin
-
V. Ja. Ivrii, Microlocal Analysis and Precise Spectral Asymptotics, SpringerMonographs in Mathematics (Springer-Verlag, Berlin, 1998).
-
(1998)
SpringerMonographs in Mathematics
-
-
Ivrii, V.J.1
-
12
-
-
23944449255
-
"Tauberian theory "Grundlehren der Mathematischen Wissenschaften
-
Springer-Verlag, Berlin
-
J. Korevaar, "Tauberian theory," Grundlehren der Mathematischen Wissenschaften, Fundamental Principles of Mathematical Sciences Vol. 329 (Springer-Verlag, Berlin, 2004).
-
(2004)
Fundamental Principles of Mathematical Sciences
, vol.329
-
-
Korevaar, J.1
-
13
-
-
62549114451
-
Two dimensional Berezin-Li-Yau inequalities with a correction term
-
H. Kovǎrík, S. Vugalter, and T. Weidl, "Two dimensional Berezin-Li-Yau inequalities with a correction term," Commun. Math. Phys. 287(3), 959-981 (2009).
-
(2009)
Commun. Math. Phys.
, vol.287
, Issue.3
, pp. 959-981
-
-
Kovǎrík, H.1
Vugalter, S.2
Weidl, T.3
-
14
-
-
0031574602
-
Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces
-
A. Laptev, "Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces," J. Funct. Anal. 151(2), 531-545 (1997).
-
(1997)
J. Funct. Anal.
, vol.151
, Issue.2
, pp. 531-545
-
-
Laptev, A.1
-
15
-
-
0000538029
-
On the Schrödinger equation and the eigenvalue problem
-
P. Li and S. T. Yau, "On the Schrödinger equation and the eigenvalue problem," Commun. Math. Phys. 88(3), 309-318 (1983).
-
(1983)
Commun. Math. Phys.
, vol.88
, Issue.3
, pp. 309-318
-
-
Li, P.1
Yau, S.T.2
-
16
-
-
0000566451
-
The classical limit of quantum spin systems
-
E. H. Lieb, "The classical limit of quantum spin systems," Commun. Math. Phys. 31, 327-340 (1973).
-
(1973)
Commun. Math. Phys.
, vol.31
, pp. 327-340
-
-
Lieb, E.H.1
-
17
-
-
0242648945
-
Analysis
-
2nd ed, American Mathematical Society, Providence, RI
-
E. H. Lieb and M. Loss, Analysis, 2nd ed., Graduate Studies in Mathematics Vol. 14 (American Mathematical Society, Providence, RI, 2001).
-
(2001)
Graduate Studies in Mathematics
, vol.14
-
-
Lieb, E.H.1
Loss, M.2
-
18
-
-
0037319507
-
A lower bound for sums of eigenvalues of the Laplacian
-
(electronic)
-
A. D. Melas, "A lower bound for sums of eigenvalues of the Laplacian," Proc. Am. Math. Soc. 131(2), 631-636 (2003) (electronic).
-
(2003)
Proc. Am. Math. Soc.
, vol.131
, Issue.2
, pp. 631-636
-
-
Melas, A.D.1
-
20
-
-
0003288250
-
The Asymptotic Distribution of Eigenvalues of Partial Differential Operators
-
American Mathematical Society, Providence, RI
-
Y. Safarov and D. Vassiliev, The Asymptotic Distribution of Eigenvalues of Partial Differential Operators, Translations of Mathematical Monographs Vol. 155 (American Mathematical Society, Providence, RI, 1997).
-
(1997)
Translations of Mathematical Monographs
, vol.155
-
-
Safarov, Y.1
Vassiliev, D.2
-
21
-
-
77957304530
-
Improved Berezin-Li-Yau inequalities with a remainder term
-
T. Weidl, "Improved Berezin-Li-Yau inequalities with a remainder term," Am. Math. Soc. Transl. 225(2), 253-263 (2008).
-
(2008)
Am. Math. Soc. Transl.
, vol.225
, Issue.2
, pp. 253-263
-
-
Weidl, T.1
-
22
-
-
0001117305
-
Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)
-
H. Weyl, "Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)," Math. Ann. 71(4), 441-479 (1912).
-
(1912)
Math. Ann.
, vol.71
, Issue.4
, pp. 441-479
-
-
Weyl, H.1
-
23
-
-
84859130342
-
Bounds for the eigenvalues of the fractional Laplacian
-
S. Yildirim Yolcu and T. Yolcu, "Bounds for the eigenvalues of the fractional Laplacian," Rev. Math. Phys. 24(3), 1250003 (2012).
-
(2012)
Rev. Math. Phys.
, vol.24
, Issue.3
, pp. 1250003
-
-
Yildirim Yolcu, S.1
Yolcu, T.2
-
24
-
-
84874385940
-
Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain
-
S. Yildirim Yolcu and T. Yolcu, "Estimates for the sums of eigenvalues of the fractional Laplacian on a bounded domain," Commun. Contemp. Math. 15(3), 1250048 (2013).
-
(2013)
Commun. Contemp. Math.
, vol.15
, Issue.3
, pp. 1250048
-
-
Yildirim Yolcu, S.1
Yolcu, T.2
-
25
-
-
84884796478
-
Refined bounds for the eigenvalues of the Klein-Gordon operator
-
T. Yolcu, "Refined bounds for the eigenvalues of the Klein-Gordon operator," Proc. Am. Math. Soc. 141(12), 4305-4315 (2013).
-
(2013)
Proc. Am. Math. Soc.
, vol.141
, Issue.12
, pp. 4305-4315
-
-
Yolcu, T.1
|