-
1
-
-
43949089834
-
On Schatten-von Neumann class properties of pseudodifferential operators
-
The Cordes-Kato method, MR2404466 (2009e:35303)
-
G. Arsu, On Schatten-von Neumann class properties of pseudodifferential operators. The Cordes-Kato method, J. Operator Theory 59 (2008), Issue 1, pp. 81-114. MR2404466 (2009e:35303).
-
(2008)
J. Operator Theory
, vol.59
, Issue.1
, pp. 81-114
-
-
Arsu, G.1
-
2
-
-
0002501645
-
Estimates of singular numbers of integral operators
-
Engl. transl. in: Russian Math. Surveys 32(1977), no. 1, 15-89. 1987. MR0438186 (55:11104)
-
M. Š. Birman, M. Z. Solomyak, Estimates of singular numbers of integral operators, Uspekhi Mat. Nauk 32 (1977), no.1, 17-84, Engl. transl. in: Russian Math. Surveys 32(1977), no. 1, 15-89. 1987. MR0438186 (55:11104).
-
(1977)
Uspekhi Mat. Nauk
, vol.32
, Issue.1
, pp. 17-84
-
-
Birman, M.Š.1
Solomyak, M.Z.2
-
3
-
-
0003647398
-
Spectral theory of selfadjoint operators in Hilbert space
-
MR1192782 (93g:47001)
-
M. Š. Birman, M. Z. Solomyak, Spectral theory of selfadjoint operators in Hilbert space, Reidel, 1987. MR1192782 (93g:47001).
-
(1987)
Reidel
-
-
Birman, M.Š.1
Solomyak, M.Z.2
-
4
-
-
0038015647
-
Boundedness conditions and spectrum estimates for the operators b(X)a(D) and their analogs, Estimates and asymptotics for discrete spectra of integral and differential equations (Leningrad, 1989-90)
-
Amer. Math. Soc. Providence, RI, MR1306510 (95g:47075)
-
M.Sh. Birman, G.E. Karadzhov, M.Z. Solomyak, Boundedness conditions and spectrum estimates for the operators b(X)a(D) and their analogs, Estimates and asymptotics for discrete spectra of integral and differential equations (Leningrad, 1989-90), 85-106, Adv. Soviet Math., 7, Amer. Math. Soc., Providence, RI, 1991. MR1306510 (95g:47075).
-
(1991)
Adv. Soviet Math.
, vol.7
, pp. 85-106
-
-
Birman, M.Sh.1
Karadzhov, G.E.2
Solomyak, M.Z.3
-
5
-
-
0003903670
-
Analysis of Toeplitz operators
-
Second edition, Springer, Springer-Verlag, Berlin, MR2223704 (2007k:47001)
-
A. Böttcher, B. Silbermann, Analysis of Toeplitz operators, Second edition, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2006. MR2223704 (2007k:47001).
-
(2006)
Monographs in Mathematics
-
-
Böttcher, A.1
Silbermann, B.2
-
6
-
-
4243897504
-
A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols
-
MR1274588 (95c:47031)
-
A. Böttcher, B. Silbermann, H. Widom, A continuous analogue of the Fisher-Hartwig formula for piecewise continuous symbols, J. Funct. Anal. 122 (1994), no. 1, 222-246. MR1274588 (95c:47031).
-
(1994)
J. Funct. Anal.
, vol.122
, Issue.1
, pp. 222-246
-
-
Böttcher, A.1
Silbermann, B.2
Widom, H.3
-
7
-
-
0009122713
-
Average decay of Fourier transforms and integer points in polyhedra
-
MR1478780 (99e:42021)
-
L. Brandolini, L. Colzani, G. Travaglini, Average decay of Fourier transforms and integer points in polyhedra, Ark. Mat. 35 (1997), 253-275. MR1478780 (99e:42021).
-
(1997)
Ark. Mat.
, vol.35
, pp. 253-275
-
-
Brandolini, L.1
Colzani, L.2
Travaglini, G.3
-
8
-
-
70350169458
-
Schatten-von Neumann properties for Fourier integral operators with non-smooth symbols I
-
MR2529703 (2010g:47097)
-
F. Concetti, J. Toft, Schatten-von Neumann properties for Fourier integral operators with non-smooth symbols. I, Ark. Mat. 47 (2009), no. 2, 295-312. MR2529703 (2010g:47097).
-
(2009)
Ark. Mat.
, vol.47
, Issue.2
, pp. 295-312
-
-
Concetti, F.1
Toft, J.2
-
9
-
-
80051710008
-
Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
-
issue 2, MR2831118
-
P. Deift, A. Its, I. Krasovsky, Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities, Ann. of Math. (2) 174 (2011), issue 2, pp. 1243-1299. MR2831118.
-
(2011)
Ann. of Math.
, vol.174
, Issue.2
, pp. 1243-1299
-
-
Deift, P.1
Its, A.2
Krasovsky, I.3
-
10
-
-
0013247924
-
A status report on the asymptotic behavior of Toeplitz determinants with Fisher- Hartwig singularities
-
Oper. Theory Adv. Appl. 124, Birkhä user, Basel, MR1839838 (2002e:47032)
-
T. Ehrhardt, A status report on the asymptotic behavior of Toeplitz determinants with Fisher- Hartwig singularities, Recent advances in operator theory (Groningen, 1998), 217-241, Oper. Theory Adv. Appl., 124, Birkhäuser, Basel, 2001. MR1839838 (2002e:47032).
-
(2001)
Recent Advances in Operator Theory (Groningen, 1998)
, pp. 217-241
-
-
Ehrhardt, T.1
-
13
-
-
0010204153
-
-
Ph.D. Thesis, Dept. of Mathematics, Royal Inst. of Technology (KTH), Stockholm, MR2715453
-
D. Gioev, Generalizations of Szego"Limit Theorem: Higher Order Terms and Discontinuous Symbols, Ph.D. Thesis, Dept. of Mathematics, Royal Inst. of Technology (KTH), Stockholm, 2001. MR2715453.
-
(2001)
Generalizations of Szego" Limit Theorem: Higher Order Terms and Discontinuous Symbols
-
-
Gioev, D.1
-
15
-
-
33644887514
-
Entanglement Entropy of fermions in any dimension and the wisdom conjecture
-
100503, MR2214720 (2006k:82024)
-
D. Gioev, I. Klich, Entanglement Entropy of fermions in any dimension and the Widom Conjecture, Phys. Rev. Lett. 96 (2006), no. 10, 100503, 4pp. MR2214720 (2006k:82024).
-
(2006)
Phys. Rev. Lett.
, vol.96
, Issue.10
, pp. 4
-
-
Gioev, D.1
Klich, I.2
-
16
-
-
0003301335
-
Introduction to the theory of linear nonselfadjoint operators
-
American Mathematical Society, Providence, R.I., MR0246142 (39:7447)
-
I. C.Gohberg, M. G. Krein, Introduction to the theory of linear nonselfadjoint operators, Translations of Mathematical Monographs, Vol. 18, American Mathematical Society, Providence, R.I., 1969. MR0246142 (39:7447).
-
(1969)
Translations of Mathematical Monographs
, vol.18
-
-
Gohberg, I.C.1
Krein, M.G.2
-
17
-
-
84964927565
-
-
Berkeley, Los Angeles, Univ. of California Press, MR0094840 (20:1349)
-
U. Grenander, G. Szego, Toeplitz forms and their applications, Berkeley, Los Angeles, Univ. of California Press, 1958. MR0094840 (20:1349).
-
(1958)
Toeplitz Forms and their Applications
-
-
Grenander, U.1
Szego, G.2
-
18
-
-
79953874295
-
A special case of a conjecture by Widom with implications to fermionic entanglement entropy
-
MR2806511
-
R.C. Helling, H. Leschke, W.L. Spitzer, A special case of a conjecture by Widom with implications to fermionic entanglement entropy, Int. Math. Res. Notices vol. 2011 (2011), pp. 1451-1482. MR2806511.
-
(2011)
Int. Math. Res. Notices
, vol.2011
, pp. 1451-1482
-
-
Helling, R.C.1
Leschke, H.2
Spitzer, W.L.3
-
19
-
-
0003284894
-
The analysis of linear partial differential operators, I
-
Springer-Verlag, Berlin, MR717035 (85g:35002a)
-
L. Hörmander, The Analysis of Linear Partial Differential Operators, I, Grundlehren Math. Wiss. 256, Springer-Verlag, Berlin, 1983. MR717035 (85g:35002a).
-
(1983)
Grundlehren Math. Wiss.
, vol.256
-
-
Hörmander, L.1
-
20
-
-
0001178462
-
The analysis of linear partial differential operators, III
-
Springer-Verlag, Berlin, MR781536 (87d:35002a)
-
L. Hörmander, The Analysis of Linear Partial Differential Operators, III, Grundlehren Math. Wiss. 274, Springer-Verlag, Berlin, 1985. MR781536 (87d:35002a).
-
(1985)
Grundlehren Math. Wiss.
, vol.274
-
-
Hörmander, L.1
-
21
-
-
84967728272
-
The L2-boundedness of pseudo-differential operators
-
I.L. Hwang, The L2-boundedness of pseudo-differential operators, Trans. Amer. Math. Soc. 302 (1987), 55-76.
-
(1987)
Trans. Amer. Math. Soc.
, vol.302
, pp. 55-76
-
-
Hwang, I.L.1
-
22
-
-
85025750330
-
Eigenvalue distribution of time and frequency limiting
-
MR593228 (81m:45023)
-
H. Landau, H. Widom, Eigenvalue distribution of time and frequency limiting, J. Math. Analysis Appl. 77 (1980), 469-481. MR593228 (81m:45023).
-
(1980)
J. Math. Analysis Appl.
, vol.77
, pp. 469-481
-
-
Landau, H.1
Widom, H.2
-
23
-
-
0003226879
-
A generalization of the Berezin-Lieb inequality
-
Amer. Math. Soc. Transl. Ser. 2, Amer. Math. Soc. Providence, RI, MR1402917 (97e:47023)
-
A. Laptev, Yu. Safarov, A generalization of the Berezin-Lieb inequality, Contemporary Mathematical Physics, 69-79, Amer. Math. Soc. Transl. Ser. 2, 175, Amer. Math. Soc., Providence, RI, 1996. MR1402917 (97e:47023).
-
(1996)
Contemporary Mathematical Physics
, vol.175
, pp. 69-79
-
-
Laptev, A.1
Safarov, Yu.2
-
24
-
-
0030585643
-
Szego" type limit theorems
-
MR1395969 (97k:58166)
-
A. Laptev and Yu. Safarov, Szego" type limit theorems, J. Funct. Anal., 138 (1996), 544-559. MR1395969 (97k:58166).
-
(1996)
J. Funct. Anal.
, vol.138
, pp. 544-559
-
-
Laptev, A.1
Safarov, Yu.2
-
25
-
-
85007409847
-
Some facts about the Wick calculus
-
Lecture Notes in Math., Springer, Berlin, 2008. MR2477145
-
N. Lerner, Some facts about the Wick calculus. Pseudo-differential operators, 135-174, Lecture Notes in Math., 1949, Springer, Berlin, 2008. MR2477145.
-
(1949)
Pseudo-differential Operators
, pp. 135-174
-
-
Lerner, N.1
-
26
-
-
0000234202
-
A multidimensional analog of a limit theorem of G. Szego
-
I. J. Linnik, A multidimensional analog of a limit theorem of G. Szego, Mathematics USSRIzvestiya 9(1975), no. 6, 1323-1332.
-
(1975)
Mathematics USSRIzvestiya
, vol.9
, Issue.6
, pp. 1323-1332
-
-
Linnik, I.J.1
-
27
-
-
4644343525
-
Operators, functions, and systems: An easy reading
-
Hardy, Hankel, and Toeplitz, American Mathematical Society, Providence, RI, MR1864396 (2003i:47001a)
-
N.K. Nikolski, Operators, functions, and systems: an easy reading. Vol.1. Hardy, Hankel, and Toeplitz, Mathematical Surveys and Monographs, 92, American Mathematical Society, Providence, RI, 2002. MR1864396 (2003i:47001a).
-
(2002)
Mathematical Surveys and Monographs
, vol.1
, Issue.92
-
-
Nikolski, N.K.1
-
28
-
-
0010187835
-
Asymptotic expansions of traces for certain convolution operators
-
MR752492 (85m:47022)
-
R. Roccaforte, Asymptotic expansions of traces for certain convolution operators, Trans. Amer. Math. Soc. 285 (1984), no. 2, 581-602. MR752492 (85m:47022).
-
(1984)
Trans. Amer. Math. Soc.
, vol.285
, Issue.2
, pp. 581-602
-
-
Roccaforte, R.1
-
29
-
-
0001849557
-
Classes de Schatten d'oṕerateurs pseudo-diff́erentiels
-
no. 1, MR744068 (85j:47054)
-
C. Rondeaux, Classes de Schatten d'oṕerateurs pseudo- diff́erentiels, Ann. Sci. ́Ecole Norm. Sup. (4) 17 (1984), no. 1, 67-81. MR744068 (85j:47054).
-
(1984)
Ann. Sci. ́Ecole Norm. Sup.
, vol.17
, Issue.4
, pp. 67-81
-
-
Rondeaux, C.1
-
30
-
-
0003255386
-
Autour de l'Approximation semi-classique
-
Birkḧauser Boston, Inc. Boston, MA, MR897108 (89g:81016)
-
D. Robert, Autour de l'approximation semi-classique, Progress in Mathematics, 68. Birkḧauser Boston, Inc., Boston, MA, 1987. MR897108 (89g:81016).
-
(1987)
Progress in Mathematics
, vol.68
-
-
Robert, D.1
-
31
-
-
52449118016
-
On some analytical index formulas related to operator-valued symbols
-
(electronic). MR1884986 (2003d:35289)
-
G. Rozenblum, On some analytical index formulas related to operator-valued symbols, Electron. J. Differential Equations 2002, No. 17, 31 pp. (electronic). MR1884986 (2003d:35289).
-
(2002)
Electron. J. Differential Equations
, Issue.17
, pp. 31
-
-
Rozenblum, G.1
-
32
-
-
17644412732
-
The asymptotic distribution of the eigenvalues of pseudodifferential operators in Rn, (Russian)
-
MR0331131 (48:9465)
-
M. A. Shubin, V. N. Tulovskii, The asymptotic distribution of the eigenvalues of pseudodifferential operators in Rn, (Russian) Mat. Sb. (N.S.) 92(134) (1973), 571-588. MR0331131 (48:9465).
-
(1973)
Mat. Sb. (N.S.)
, vol.92
, Issue.134
, pp. 571-588
-
-
Shubin, M.A.1
Tulovskii, V.N.2
-
33
-
-
0003547220
-
-
Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, MR883081 (88c:47105)
-
M. A. Shubin, Pseudodifferential operators and spectral theory, Springer Series in Soviet Mathematics, Springer-Verlag, Berlin, 1987. MR883081 (88c:47105).
-
(1987)
Pseudodifferential Operators and Spectral Theory
-
-
Shubin, M.A.1
-
34
-
-
33847646155
-
Trace ideals and their applications
-
Second edition, American Mathematical Society, Providence, RI, MR2154153 (2006f:47086)
-
B. Simon, Trace ideals and their applications, Second edition, Mathematical Surveys and Monographs, 120, American Mathematical Society, Providence, RI, 2005. MR2154153 (2006f:47086).
-
(2005)
Mathematical Surveys and Monographs
, vol.120
-
-
Simon, B.1
-
35
-
-
84916160159
-
Prolate spheroidal wave functions, Fourier analysis and uncertainity. IV. Extensions to many dimensions; generalized prolate spheroidal functions
-
MR0181766 (31:5993)
-
D. Slepian, Prolate spheroidal wave functions, Fourier analysis and uncertainity. IV. Extensions to many dimensions; generalized prolate spheroidal functions, Bell System Tech. J. 43 (1964), 3009-3057. MR0181766 (31:5993).
-
(1964)
Bell System Tech. J.
, vol.43
, pp. 3009-3057
-
-
Slepian, D.1
-
36
-
-
0000550948
-
Analytic solution of two apodization problems
-
D Slepian, Analytic solution of two apodization problems, J. Optical Soc. of America, 55 (1965), no 9, 1110-1115.
-
(1965)
J. Optical Soc. of America
, vol.55
, Issue.9
, pp. 1110-1115
-
-
Slepian, D.1
-
38
-
-
33746983052
-
Schatten-von Neumann properties in the Weyl calculus and calculus of metrics on symplectic vector spaces
-
MR2234093 (2007f:35314)
-
J. Toft, Schatten-von Neumann properties in the Weyl calculus and calculus of metrics on symplectic vector spaces, Ann. Global Anal. Geom. 30 (2006), no. 2, 169-209. MR2234093 (2007f:35314).
-
(2006)
Ann. Global Anal. Geom.
, vol.30
, Issue.2
, pp. 169-209
-
-
Toft, J.1
-
39
-
-
84968515392
-
A theorem on translation kernels in n dimensions
-
MR0110925 (22:1793)
-
H. Widom, A theorem on translation kernels in n dimensions, Trans. Amer. Math. Soc. 94 (1960), no. 1, 170-180. MR0110925 (22:1793).
-
(1960)
Trans. Amer. Math. Soc.
, vol.94
, Issue.1
, pp. 170-180
-
-
Widom, H.1
-
40
-
-
0001587020
-
Szego's limit theorem, the higher-dimensional matrix case
-
MR597810 (82c:47034)
-
H. Widom, Szeg's limit theorem, the higher-dimensional matrix case, J. Funct. Anal. 39 (1980), 182-198. MR597810 (82c:47034).
-
(1980)
J. Funct. Anal.
, vol.39
, pp. 182-198
-
-
Widom, H.1
-
41
-
-
33748647789
-
On a class of integral operators with discontinuous symbol, Toeplitz centennial (Tel Aviv, 1981)
-
Birkhäuser, Basel-Boston, Mass., MR669925 (83j:47036)
-
H. Widom, On a class of integral operators with discontinuous symbol, Toeplitz centennial (Tel Aviv, 1981), pp. 477-500, Operator Theory: Adv. Appl., 4, Birkhäuser, Basel-Boston, Mass., 1982. MR669925 (83j:47036).
-
(1982)
Operator Theory: Adv. Appl.
, vol.4
, pp. 477-500
-
-
Widom, H.1
-
42
-
-
0000142616
-
On a class of integral operators on a half-space with discontinuous symbol
-
MR1033919 (90m:47068)
-
H. Widom, On a class of integral operators on a half-space with discontinuous symbol, J. Funct. Anal. 88 (1990), no. 1, 166-193. MR1033919 (90m:47068).
-
(1990)
J. Funct. Anal.
, vol.88
, Issue.1
, pp. 166-193
-
-
Widom, H.1
|