On a unitary version of Suzuki's exponential product formula

Journal of the Mathematical Society of Japan

Volumn 48, Issue 3, 1996, Pages 493-499

  Aomoto, Kazuhiko ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002495450     PISSN: 00255645     EISSN: 18811167     Source Type: Journal    
DOI: 10.2969/jmsj/04830493     Document Type: Article

References (9)

1. P. R. Chernoff, Note on product formulas for operator semi-groups, J. Funct. Anal., 2 (1968), 238-242.
2. E. Nelson, Analytic vectors, Ann. of Math., 70 (1959), 572-615.
3. E. Nelson, Feynmann Integrals and the Schrodinger Equation, J. Math. Phys., 5 (1964), 332-343.
4. M. Reed and B. Simon, Methods of Modern Mathematical Physics, II, Fourier Analysis, Self-Adjointness, Academic Press, 1975.
5. M. Suzuki, General theory of fractal path integrals with applications to many-body theories and statistical physics, J. Math. Phys., 32 (1991), 400-407.
6. M. Suzuki and T. Yamauchi, Convergence of unitary and complex decompositions of exponential operators, preprint, 1992.
7. M. Suzuki, Convergence of general decompositions of exponential operators, Comm. Math. Phys., 163 (1994), 491-508.
8. H. Trotter, on the product of semi-groups of operators, Proc. Amer. Math. Soc., 10(1959), 545-551.
9. K. Yosida, Functional Analysis, Springer, 1966.