Fetching the paper…
Reading the bibliography…
We consider reflection-positivity (Osterwalder-Schrader positivity, O.S.-p.) as it is used in the study of renormalization questions in physics.
N. Aronszajn, Theory of reproducing kernels , Trans. Amer. Math. Soc. 68
1950
Earlier work this paper cites.
Edward Nelson, Representation of a Markovian semigroup and its infinitesimal generator , J. Math. Mech. 7
1958
Earlier work this paper cites.
R. S. Phillips, The extension of dual subspaces invariant under an algebra , Proc. Internat. Sympos. Linear Spaces (Jerusalem, 1960), Jerusalem Academic Press, Jerusalem; Pergamon, Oxford, 1961, pp. 366–398. MR 0133686
1961
Earlier work this paper cites.
I. C. Gohberg and M. G. Kreĭ n, On the problem of factoring operators in a Hilbert space , Dokl. Akad. Nauk SSSR 147
1962
Earlier work this paper cites.
M. G. Kreĭ n and Ju. L. ˇSmul ′ \prime jan, A class of operators in a space with an indefinite metric , Dokl. Akad. Nauk SSSR 170
1966
Earlier work this paper cites.
by same author, Construction of quantum fields from Markoff fields , J. Functional Analysis 12
1973
Earlier work this paper cites.
by same author, The free Markoff field , J. Functional Analysis 12
1973
Earlier work this paper cites.
Konrad Osterwalder and Robert Schrader, Axioms for Euclidean Green’s functions , Comm. Math. Phys. 31
1973
Earlier work this paper cites.
by same author, Markov fields , Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 2, Canad. Math. Congress, Montreal, Que., 1975, pp. 395–398. MR 0436832
1975
Earlier work this paper cites.
by same author, Axioms for Euclidean Green’s functions. II , Comm. Math. Phys. 42
1975
Earlier work this paper cites.
Abel Klein, Gaussian OS {\rm OS} -positive processes , Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 40
1977
Earlier work this paper cites.
by same author, A generalization of Markov processes , Ann. Probability 6
1978
Earlier work this paper cites.
James Glimm and Arthur Jaffe, A note on reflection positivity , Lett. Math. Phys. 3
1979
Earlier work this paper cites.
Palle E. T. Jorgensen, Selfadjoint extension operators commuting with an algebra , Math. Z. 169
1979
Earlier work this paper cites.
Abel Klein, Lawrence J. Landau, and David S. Shucker, Decoupling inequalities for stationary Gaussian processes , Ann. Probab. 10
1982
Earlier work this paper cites.
William Arveson, Markov operators and OS-positive processes , J. Funct. Anal. 66
1986
Earlier work this paper cites.
by same author, Analytic continuation of local representations of Lie groups , Pacific J. Math. 125
1986
Cited alongside, same era.
by same author, Quantum physics , second ed., Springer-Verlag, New York, 1987, A functional integral point of view. MR 887102
1987
Cited alongside, same era.
by same author, Analytic continuation of local representations of symmetric spaces , J. Funct. Anal. 70
1987
Cited alongside, same era.
Arthur Jaffe, Sł awomir Klimek, and Andrzej Lesniewski, Representations of the Heisenberg algebra on a Riemann surface , Comm. Math. Phys. 126
1989
Cited alongside, same era.
Daniel Alpay and Harry Dym, On reproducing kernel spaces, the Schur algorithm, and interpolation in a general class of domains , Operator theory and complex analysis (Sapporo, 1991), Oper. Theory Adv. Appl., vol. 59, Birkhäuser, Basel, 1992, pp. 30–77. MR 1246809 (94j:46034)
Daniel Alpay, Palle Jorgensen, Ron Seager, and Dan Volok, On discrete analytic functions: products, rational functions and reproducing kernels , J. Appl. Math. Comput. 41
2013
Later among the works it cites.
Palle Jorgensen and Erin P.J. Pearse, A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks , Israel J. Math. 196
2013
Later among the works it cites.
Daniel Alpay, Palle Jorgensen, and Dan Volok, Relative reproducing kernel Hilbert spaces , Proc. Amer. Math. Soc. 142
2014
Later among the works it cites.
Palle E. T. Jorgensen and Erin P. J. Pearse, Spectral comparisons between networks with different conductance functions , J. Operator Theory 72
2014
Later among the works it cites.
Palle Jorgensen, Steen Pedersen, and Feng Tian, Restrictions and extensions of semibounded operators , Complex Anal. Oper. Theory 8
2014
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1992
Cited alongside, same era.
Daniel Alpay, Vladimir Bolotnikov, Aad Dijksma, and Henk de Snoo, On some operator colligations and associated reproducing kernel Hilbert spaces , Operator extensions, interpolation of functions and related topics, Oper. Theory Adv. Appl., vol. 61, Birkhäuser, Basel, 1993, pp. 1–27. MR 1246577 (94i:47018)
1993
Cited alongside, same era.
by same author, On a new class of structured reproducing kernel spaces , J. Funct. Anal. 111
1993
Cited alongside, same era.
Karl-Hermann Neeb, Holomorphic representation theory. II , Acta Math. 173
1994
Cited alongside, same era.
Palle E. T. Jorgensen and Gestur Ólafsson, Unitary representations of Lie groups with reflection symmetry , J. Funct. Anal. 158
1998
Cited alongside, same era.
Brian C. Hall, Holomorphic methods in analysis and mathematical physics , First Summer School in Analysis and Mathematical Physics (Cuernavaca Morelos, 1998), Contemp. Math., vol. 260, Amer. Math. Soc., Providence, RI, 2000, pp. 1–59. MR 1770752
2000
Cited alongside, same era.
by same author, Unitary representations and Osterwalder-Schrader duality , The mathematical legacy of Harish-Chandra (Baltimore, MD, 1998), Proc. Sympos. Pure Math., vol. 68, Amer. Math. Soc., Providence, RI, 2000, pp. 333–401. MR 1767902
2000
Cited alongside, same era.
by same author, Diagonalizing operators with reflection symmetry , J. Funct. Anal. 190
2002
Cited alongside, same era.
Later among the works it cites.
David Applebaum, Infinite dimensional Ornstein-Uhlenbeck processes driven by Lévy processes , Probab. Surv. 12
2015
Later among the works it cites.
Yong Chen, On a nonsymmetric Ornstein-Uhlenbeck semigroup and its generator , Commun. Stoch. Anal. 9
2015
Later among the works it cites.
Arthur Jaffe, Stochastic quantization, reflection positivity, and quantum fields , J. Stat. Phys. 161
2015
Later among the works it cites.
Yuliy Baryshnikov, Jarosł aw Duda, and Wojciech Szpankowski, Types of Markov fields and tilings , IEEE Trans. Inform. Theory 62
2016
Later among the works it cites.
Palle E. T. Jorgensen, Karl-Hermann Neeb, and Gestur Ólafsson, Reflection positive stochastic processes indexed by Lie groups , SIGMA Symmetry Integrability Geom. Methods Appl. 12
2016
Later among the works it cites.
Jonas Teuwen, On the integral kernels of derivatives of the Ornstein-Uhlenbeck semigroup , Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19
2016
Later among the works it cites.
Arthur Jaffe and Bas Janssens, Reflection positive doubles , J. Funct. Anal. 272
2017
Closest in time.
Arthur Jaffe and Zhengwei Liu, Planar Para Algebras, Reflection Positivity , Comm. Math. Phys. 352
2017
Closest in time.
Palle Jorgensen and Feng Tian, Non-commutative analysis. , Hackensack, NJ: World Scientific, 2017 (English)
2017
Closest in time.
Ao Kong and Robert Azencott, Binary Markov Random Fields and interpretable mass spectra discrimination , Stat. Appl. Genet. Mol. Biol. 16
2017
Closest in time.
Wen Lu and Yong Ren, Mean-field backward stochastic differential equations on Markov chains , Bull. Korean Math. Soc. 54
2017
Closest in time.