Causality and local analyticity : mathematical study

 Access to full text

 Full (PDF)

1. [1] J. Bros, D. Iagolnitzer and R. Stora(to be published in Ann. Institut Fourier). 
2. [2] D. Iagolnitzer and H.P. Stapp, Commun. Math. Phys., vol. 14, 1969, p. 15. This work used some basic physical ideas and results on Landau surfaces previously given by C. Chandler and H.P. Stapp, J. Math. Phys., vol. 10, 1969, p. 826. Further related results are given by D. Iagolnitzerin Lectures in Theoretical Physics, ed. by K.T. Mahanthappa and W.E. Brittin Gordon and Breach, New York, 1969, p. 221. MR253651
3. [3] R. Omnes, Phys. Rev., vol. 146, 1966, p. 1123. This work has been reviewed with a different method by M. Kugler and R. Roskies, Phys. Rev., vol. 155, 1967, p. 1685 and extended by J.D. Finley, Some implications for scattering of short range interaction (Ph. D. Thesis, University of California, Berkeley). 
4. [4] See for instance : P. Schapira, Théorie des Hyperfunctions (Lecture Notes in Mathematics n° 126, Springer Verlag, New York, 1970 and also the original paper by : M. Sato, Theory of hyperfunctions I and II (J. Fac. Univ. Tokyo, t. 8, 1959-1960, p. 139-193 and 387-437. Zbl0087.31402
5. [5] H. Epstein and V. Glaser (Private communications). 
6. [6] A. Martineau, Séminaire Bourbaki, février 1968. 
7. [7] See for instance G.F. Chew, The Analytic S-matrix, Benjamin, New York, 1966, chap. I. 
8. [8] See for instance chap. 18-1 in J.D. Bjorken and S.D. Drell, Relativistic quantum fields, Mc Graw Hill, Boock Company, New York, 1965. Zbl0184.54201
9. [9] See H. Epstein in the 1965Brandeis Lectures in Particle Symmetries and Axiomatic Field Theory, vol. 1, ed. by M. Chretien and S. Deser, Gordon and Breach, New York, 1966. 
10. [10] G. Wanders, Nuovo Cimento, vol. 14, n° 1, 1959, p. 168. Zbl0098.20105MR110482
11. [11] For classical results in the theory of functions of several complex variables, see for instance the courses by P. Lelong at Saclay, 1960 and by A.S. Wightman in Les Houches, Summer School, 1960. 
12. [12] See for instance L. Schwartz, Théories des Distributions, Hermann, Paris, 1968. 
13. [13] R.F. Streater and A.S. Wightman, PCT, Spin-Statistics and all that, Benjamin, New York, 1964, chap. 2-5 and p. 94-95. Zbl0135.44305MR161603
14. [14] See for instance Hefer's theorem in B.A. Fuks, Introduction to the theory of analytic functions of several complex variables, vol. 2, Providence, Rhode Island, American Mathematical Society, 1963. 
15. [15] B. Malgrange, Séminaire Schwartz, 1959-1960, Exposés 21-24 and Seminaire Cartan, exposé 12 (Secrétariat de Mathématique, 11, rue Pierre-Curie, 75005 Paris); B. Malgrange, Ideals of Differential functions, Tata Institute, BombayOxford University Press, 1966. MR151872
16. [16] L. Hormander, Uniqueness theorem and wave front sets for solutions of linear differential equations with analytic coefficients (preprint). Zbl0226.35019
17. [17] H. Epstein, J. Math. Phys., vol. 1, 1960, p. 524. Zbl0099.06202
18. [18] R. Stora (Private communication). 

1. Grzegorz Łysik, Generalized analytic functions of Bogdan Ziemian
2. J. Bros, Transformations de Laplace sur des sous-variétés de $C^n$ et représentations d’ondes entrantes et sortantes
3. Pascal Laubin, Front d'onde analytique et décomposition microlocale des distributions