Melrose, Richard Scattering theory and the trace of the wave group. (English) Zbl 0525.47007 J. Funct. Anal. 45, 29-40 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 22 Documents MSC: 47A40 Scattering theory of linear operators 35P25 Scattering theory for PDEs 81U20 \(S\)-matrix theory, etc. in quantum theory Keywords:trace of the wave group; Lax-Phillips theory; poles of S-matrix; number of poles of the scattering matrix associated with the wave equation Citations:Zbl 0186.163 PDF BibTeX XML Cite \textit{R. Melrose}, J. Funct. Anal. 45, 29--40 (1982; Zbl 0525.47007) Full Text: DOI References: [1] Andersson, K. G.; Melrose, R. B., Invent. Math., 41, 197-232 (1977) [2] Bardos, C.; Guillot, J.-C; Ralston, J. V., C. R. Acad. Sci. Paris, 290 (1980) [3] Chazarain, J., Invent. Math., 24, 65-82 (1974) [4] de Verdière, Y. Colin, Compositio Math., 27, 159-184 (1973) [5] Duistermaat, J. J.; Guillemin, V. W., Invent. Math., 29, 39-79 (1975) [6] Goh’berg, I.; Krein, M. G., Introduction to the theory of Non-Self-Adjoint Operators, (AMS Translations, Vol. 18 (1969), Amer. Math. Soc: Amer. Math. Soc Providence, R. I) [7] Guillemin, V. W.; Melrose, R. B., Adv. in Math., 32, 204-232 (1979) [8] Ivrii, V. Ya, Functional Anal. Appl., 14, 98-106 (1980) [9] Lax, P. D.; Phillips, R. S., (Topics in Functional Analysis. Essays Dedicated to M. G. Krein on the Occasion of this 70th Birthday. Topics in Functional Analysis. Essays Dedicated to M. G. Krein on the Occasion of this 70th Birthday, Advance in Mathematics Math. Supplementary Studies, Vol. 3 (1978), Academic Press: Academic Press New York), 197-215 [10] Lax, P. D.; Phillips, R. S., Comm. Pure Appl. Math., 29, 737-787 (1969) [11] Lax, P. D.; Phillips, R. S., Scattering Theory (1967), Academic Press: Academic Press New York · Zbl 0214.12002 [12] Lax, P. D.; Phillips, R. S., Arch. Rational Mech. Anal., 40, 268-280 (1971) [13] Melrose, R. B., Duke Math. J., 46, 43-59 (1979) [14] Ralston, J. V., (Garnir, H. G., Singularities in Boundary Value Problems (1981), Reidel: Reidel Dordrecht) [15] Yoshida, K., Functional Analysis (1971), Springer-Verlag: Springer-Verlag Berlin/New York This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.