-
1
-
-
21844498042
-
Sharp inequalities, the functional determinant, and the complementary series
-
T. BRANSON, Sharp inequalities, the functional determinant, and the complementary series, Trans. A.M.S. 347 (1995), 3671-3742.
-
(1995)
Trans. A.M.S.
, vol.347
, pp. 3671-3742
-
-
Branson, T.1
-
3
-
-
0002427838
-
Meyer-Vietoris type formula for determinants of elliptic differential operators
-
Meyer-Vietoris type formula for determinants of elliptic differential operators, J. Funct. Anal. 107 (1992), 34-65.
-
(1992)
J. Funct. Anal.
, vol.107
, pp. 34-65
-
-
-
5
-
-
84968520682
-
Explicit functional determinants in four dimensions
-
Explicit functional determinants in four dimensions, Proc. A.M.S. 113 (1991), 669-682.
-
(1991)
Proc. A.M.S.
, vol.113
, pp. 669-682
-
-
-
6
-
-
21144476884
-
Estimates and extremals for zeta function determinants on four-manifolds
-
T. BRANSON, S.-Y. A. CHANG, and P. YANG, Estimates and extremals for zeta function determinants on four-manifolds, Commun. Math. Phys. 149 (1992), 241-262.
-
(1992)
Commun. Math. Phys.
, vol.149
, pp. 241-262
-
-
Branson, T.1
Chang, S.-Y.A.2
Yang, P.3
-
7
-
-
0030306041
-
Zeta functional determinants on manifolds with boundary
-
S.-Y. A. CHANG and J. QING, Zeta functional determinants on manifolds with boundary, Math. Res. Lett. 3 (1996), 1-17.
-
(1996)
Math. Res. Lett.
, vol.3
, pp. 1-17
-
-
Chang, S.-Y.A.1
Qing, J.2
-
8
-
-
0031190439
-
The zeta functional determinants on manifolds with boundary. I. The formula
-
The zeta functional determinants on manifolds with boundary. I. The formula. J. Funct. Anal 147 (1997), 327-362.
-
(1997)
J. Funct. Anal
, vol.147
, pp. 327-362
-
-
-
9
-
-
0031190766
-
The zeta functional determinants on manifolds with boundary. II. Extremal metrics and compactness of isospectral set
-
The zeta functional determinants on manifolds with boundary. II. Extremal metrics and compactness of isospectral set, J. Funct. Anal. 147 (1997), 363-399.
-
(1997)
J. Funct. Anal.
, vol.147
, pp. 363-399
-
-
-
10
-
-
0000270633
-
Extremal metrics of zeta function determinants on 4-manifolds
-
S.-Y. A. CHANG and P. YANG, Extremal metrics of zeta function determinants on 4-manifolds, Ann. of Math. 142 (1995), 171-212.
-
(1995)
Ann. of Math.
, vol.142
, pp. 171-212
-
-
Chang, S.-Y.A.1
Yang, P.2
-
11
-
-
21744437271
-
Height of flat tori
-
P. CHIU, Height of flat tori, Proc. A.M.S. 125 (1997), 723-730.
-
(1997)
Proc. A.M.S.
, vol.125
, pp. 723-730
-
-
Chiu, P.1
-
12
-
-
84972506625
-
The Ricci flow on the 2-sphere
-
B. CHOW, The Ricci flow on the 2-sphere, J. Differential Geom. 33 (1991), 325-334.
-
(1991)
J. Differential Geom.
, vol.33
, pp. 325-334
-
-
Chow, B.1
-
13
-
-
5844421915
-
On the space of Riemannian metrics
-
D. EBIN, On the space of Riemannian metrics, Bull. A.M.S. 75 (1968), 1001-1003.
-
(1968)
Bull. A.M.S.
, vol.75
, pp. 1001-1003
-
-
Ebin, D.1
-
14
-
-
0001549598
-
Functional determinants and geometry
-
Erratum ibid. 108 (1992), 453-454
-
R. FORMAN, Functional determinants and geometry, Invent. Math. 88 (1987), 447-493; Erratum ibid. 108 (1992), 453-454.
-
(1987)
Invent. Math.
, vol.88
, pp. 447-493
-
-
Forman, R.1
-
15
-
-
38249004197
-
Determinant of the Laplacian on graphs
-
Determinant of the Laplacian on graphs, Topology 32 (1993), 35-46.
-
(1993)
Topology
, vol.32
, pp. 35-46
-
-
-
16
-
-
33750528890
-
Determinants, finite-difference operators and boundary value problems
-
Determinants, finite-difference operators and boundary value problems, Commun. Math. Phys. 147 (1992), 485-526.
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 485-526
-
-
-
17
-
-
0000872141
-
The Ricci flow on surfaces
-
Mathematics and General Relativity (Santa Cruz, 1986), A.M.S., Providence, RI
-
R. HAMILTON, The Ricci flow on surfaces, in Mathematics and General Relativity (Santa Cruz, 1986), 237-262, Contemp. Math. 71, A.M.S., Providence, RI (1988).
-
(1988)
Contemp. Math.
, vol.71
, pp. 237-262
-
-
Hamilton, R.1
-
18
-
-
0000887782
-
Le résidu non commutatif (d'apres M. Wodzicki)
-
Exp. No. 708 (1988-89)
-
C. KASSEL, Le résidu non commutatif (d'apres M. Wodzicki), Sém. Bourbaki, Exp. No. 708 (1988-89), 199-229.
-
Sém. Bourbaki
, pp. 199-229
-
-
Kassel, C.1
-
19
-
-
0000028732
-
A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
-
V. GUILLEMIN, A new proof of Weyl's formula on the asymptotic distribution of eigenvalues, Adv. in Math. 55 (1985), 131-160.
-
(1985)
Adv. in Math.
, vol.55
, pp. 131-160
-
-
Guillemin, V.1
-
20
-
-
0031549896
-
Uniqueness of the functional determinant
-
M. GURSKY, Uniqueness of the functional determinant, Commun. Math. Phys. 189 (1997), 655-665.
-
(1997)
Commun. Math. Phys.
, vol.189
, pp. 655-665
-
-
Gursky, M.1
-
21
-
-
0000396875
-
Geometry of determinants of elliptic operators
-
Fund. Anal. on the Eve of the 21st Century, Vol. 1, Birkhäuser Boston, MA
-
M. KONTSEIVICH and S. VISHIK, Geometry of determinants of elliptic operators, in Fund. Anal. on the Eve of the 21st Century, Vol. 1, Birkhäuser Boston, MA, Progr. Math. 131 (1995), 173-197.
-
(1995)
Progr. Math.
, vol.131
, pp. 173-197
-
-
Kontseivich, M.1
Vishik, S.2
-
22
-
-
84968518038
-
The Yamabe problem
-
J. LEE and T. PARKER, The Yamabe problem, Bull. A.M.S. 17 (1987), 37-91.
-
(1987)
Bull. A.M.S.
, vol.17
, pp. 37-91
-
-
Lee, J.1
Parker, T.2
-
23
-
-
84973999908
-
The Campbell-Hausdorff theorem for elliptic operators and a related trace formula
-
K. OKIKIOLU, The Campbell-Hausdorff theorem for elliptic operators and a related trace formula, Duke Math. J. 79 (1995), 687-722.
-
(1995)
Duke Math. J.
, vol.79
, pp. 687-722
-
-
Okikiolu, K.1
-
24
-
-
84973997943
-
The multiplicative anomaly for determinants of elliptic operators
-
The multiplicative anomaly for determinants of elliptic operators, Duke Math. J. 79 (1995), 723-750.
-
(1995)
Duke Math. J.
, vol.79
, pp. 723-750
-
-
-
27
-
-
0001339558
-
On the positivity of the effective action in a theory of random surfaces
-
E. ONOFRI, On the positivity of the effective action in a theory of random surfaces, Commun. Math. Phys. 86 (1982), 321-326.
-
(1982)
Commun. Math. Phys.
, vol.86
, pp. 321-326
-
-
Onofri, E.1
-
28
-
-
0000193161
-
Extremals of determinants of Laplacians
-
B. OSGOOD, R. PHILLIPS, and P. SARNAK, Extremals of determinants of Laplacians, J. Funct. Anal. 80 (1988), 148-211.
-
(1988)
J. Funct. Anal.
, vol.80
, pp. 148-211
-
-
Osgood, B.1
Phillips, R.2
Sarnak, P.3
-
29
-
-
45449124033
-
Compact isospectral sets of surfaces
-
Compact isospectral sets of surfaces, J. Funct. Anal. 80 (1988), 212-234.
-
(1988)
J. Funct. Anal.
, vol.80
, pp. 212-234
-
-
-
30
-
-
0000444422
-
Moduli space, heights and isospectral sets of plane domains
-
Moduli space, heights and isospectral sets of plane domains, Ann. of Math. 129 (1989), 293-362.
-
(1989)
Ann. of Math.
, vol.129
, pp. 293-362
-
-
-
31
-
-
84972511124
-
Invariants of conformal Laplacians
-
T. PARKER and S. ROSENBERG, Invariants of conformal Laplacians, J. Differential Geom. 25 (1987), 199-222.
-
(1987)
J. Differential Geom.
, vol.25
, pp. 199-222
-
-
Parker, T.1
Rosenberg, S.2
-
32
-
-
4243226043
-
Quantum geometry of bosonic strings
-
A. POLYAKOV, Quantum geometry of bosonic strings, Phys. Lett. B 103 (1981), 207-210.
-
(1981)
Phys. Lett. B
, vol.103
, pp. 207-210
-
-
Polyakov, A.1
-
33
-
-
0000119424
-
R-torsion and the Laplacian on Riemannian manifolds
-
D. RAY and I. SINGER, R-torsion and the Laplacian on Riemannian manifolds, Adv. in Math. 7 (1971), 145-210.
-
(1971)
Adv. in Math.
, vol.7
, pp. 145-210
-
-
Ray, D.1
Singer, I.2
-
34
-
-
0001903985
-
Critical points of the determinant of the Laplace operator
-
K. RICHARDSON, Critical points of the determinant of the Laplace operator, J. Funct. Anal. 122 (1994), 52-83.
-
(1994)
J. Funct. Anal.
, vol.122
, pp. 52-83
-
-
Richardson, K.1
-
36
-
-
0003278079
-
Partial Differential Equations I., Basic Theory
-
Springer-Verlag, New York
-
M. TAYLOR, Partial Differential Equations I., Basic Theory, Appl. Math. Sci. 115, Springer-Verlag, New York, 1996.
-
(1996)
Appl. Math. Sci.
, vol.115
-
-
Taylor, M.1
-
37
-
-
0003197287
-
Basic Linear Partial Differential Equations
-
Academic Press, New York
-
F. TRÈVES, Basic Linear Partial Differential Equations, Pure and Appl. Math. 62, Academic Press, New York (1975).
-
(1975)
Pure and Appl. Math.
, vol.62
-
-
Trèves, F.1
-
38
-
-
0004038096
-
-
A.M.S., Providence, RI
-
N. VILENKIN, Special Functions and the Theory of Group Representations, Transl. Math. Mono. 22, A.M.S., Providence, RI (1968).
-
(1968)
Special Functions and the Theory of Group Representations, Transl. Math. Mono.
, vol.22
-
-
Vilenkin, N.1
-
39
-
-
0002326199
-
Noncommutative residue. I. Fundamentals
-
K-Theory, Arithmetic and Geometry (Moscow, 1984-1986), Springer-Verlag, New York
-
M. WODZICKI, Noncommutative residue. I. Fundamentals, in K-Theory, Arithmetic and Geometry (Moscow, 1984-1986), Lecture Notes in Math. 1289 (1987), 320-399, Springer-Verlag, New York.
-
(1987)
Lecture Notes in Math.
, vol.1289
, pp. 320-399
-
-
Wodzicki, M.1
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