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18
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85001568672
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Ph.D. thesis, Tufts University, Medford, Massachusetts
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M. J. Pfenning, Ph.D. thesis, Tufts University, Medford, Massachusetts, 1998.
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(1998)
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-
Pfenning, M.J.1
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26
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85001584659
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hep-th/9908012
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A. D. Helfer, hep-th/9908012.
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Helfer, A.D.1
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39
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0003478133
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Springer-Verlag, New York
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R. Abraham, J. E. Marsden, and T. Ratiu, Manifolds, Tensor Analysis, and Applications, 2nd ed. (Springer-Verlag, New York, 1988).
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(1988)
Manifolds, Tensor Analysis, and Applications, 2nd Ed.
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-
Abraham, R.1
Marsden, J.E.2
Ratiu, T.3
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42
-
-
0007118638
-
-
Benjamin, New York, Chap. IV
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Y. Choquet-Bruhat, Batelle Rencontres (Benjamin, New York, 1968), Chap. IV, pp. 84-106.
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Batelle Rencontres
, vol.1968
, pp. 84-106
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-
Choquet-Bruhat, Y.1
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46
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-
0003876935
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Princeton University Press, Princeton, NJ
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J. Baez, I. Segal, and Z. Zhou, Introduction to Algebraic and Constructive Quantum Field Theory (Princeton University Press, Princeton, NJ, 1992).
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(1992)
Introduction to Algebraic and Constructive Quantum Field Theory
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-
Baez, J.1
Segal, I.2
Zhou, Z.3
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52
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-
0003794206
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-
Springer-Verlag, Berlin
-
H. L. Cycon, R. G. Froese, W. Kirsch, and B. Simon, Schrödinger Operators (Springer-Verlag, Berlin, 1987).
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(1987)
Schrödinger Operators
-
-
Cycon, H.L.1
Froese, R.G.2
Kirsch, W.3
Simon, B.4
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65
-
-
0003498504
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-
Academic, San Diego
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I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 5th ed. (Academic, San Diego, 1994).
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(1994)
Table of Integrals, Series, and Products, 5th Ed.
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
69
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-
85001567660
-
-
We also observe that their work is directed towards a construction of Hadamard states in general globally hyperbolic space-times which avoids the use of deformation arguments
-
We also observe that their work is directed towards a construction of Hadamard states in general globally hyperbolic space-times which avoids the use of deformation arguments.
-
-
-
-
70
-
-
85001728888
-
-
Some care is needed over the definition of the two-point function in the Maxwell case (see Sec. III). In particular, it is not a distribution
-
Some care is needed over the definition of the two-point function in the Maxwell case (see Sec. III). In particular, it is not a distribution.
-
-
-
-
71
-
-
85001581729
-
-
The support of a function is the closure of the set of points on which it is nonzero
-
The support of a function is the closure of the set of points on which it is nonzero.
-
-
-
-
72
-
-
85001778883
-
-
The index is the number of spacelike (i.e., negative norm-squared) basis vectors in any g-orthonormal frame
-
The index is the number of spacelike (i.e., negative norm-squared) basis vectors in any g-orthonormal frame.
-
-
-
-
73
-
-
85001665996
-
-
p(N)
-
p(N).
-
-
-
-
74
-
-
85001755509
-
-
note
-
1(Σ) by de Rahm's theorem (Ref. 67).
-
-
-
-
75
-
-
85001728942
-
-
Note that Dimock (Ref. 36) uses E for the retarded-minus-advanced bisolution
-
Note that Dimock (Ref. 36) uses E for the retarded-minus-advanced bisolution.
-
-
-
-
76
-
-
85001744908
-
-
note
-
M (with the quotient topology) with the addition of the *-operation. This has no nontrivial two-sided *-ideals (see Sec. 7. 1 in Ref. 46).
-
-
-
-
77
-
-
85001728940
-
-
α(τ) in Eq. (76). This results in the required expression
-
α(τ) in Eq. (76). This results in the required expression.
-
-
-
-
78
-
-
85001715909
-
-
note
-
k,2(ℝ)] and apply Eq. (139). It is not presently known whether this requires a nontrivial restriction on the class of allowed states.
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