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Volumn 25, Issue 4, 1997, Pages 1895-1952

On the error estimate of the integral kernel for the Trotter product formula for schrödinger operators

Author keywords

Feynman Kac formula; Trotter product formula in Lp operator norm; Trotter product formula in the kernel level

Indexed keywords


EID: 0031322612     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1023481116     Document Type: Article
Times cited : (12)

References (10)
  • 1
    • 0031115930 scopus 로고    scopus 로고
    • An estimate on the Kac transfer operator
    • DIA, B. O. and SCHATZMAN, M. (1997). An estimate on the Kac transfer operator. J. Funct. Anal. 145 108-135.
    • (1997) J. Funct. Anal. , vol.145 , pp. 108-135
    • Dia, B.O.1    Schatzman, M.2
  • 2
    • 85033101699 scopus 로고    scopus 로고
    • Error bound on exponential product formulas for Schrödinger operators
    • To appear
    • DOUMEKI, A. ICHINOISE, T. and TAMURA, H. (1997). Error bound on exponential product formulas for Schrödinger operators. J. Math. Soc. Japan. To appear.
    • (1997) J. Math. Soc. Japan.
    • Doumeki, A.1    Ichinoise, T.2    Tamura, H.3
  • 3
    • 0009041770 scopus 로고    scopus 로고
    • Correlation decay and gap of the transfer operator
    • HELFFER, B. (1996). Correlation decay and gap of the transfer operator. Algebra i Analiz (St. Petersburg Math. J.) 8 192-210.
    • (1996) Algebra i Analiz (St. Petersburg Math. J.) , vol.8 , pp. 192-210
    • Helffer, B.1
  • 4
    • 0001551872 scopus 로고
    • Around the transfer operator and the Trotter-Kato formula
    • HELFFER, B. (1995). Around the transfer operator and the Trotter-Kato formula. Oper. Theory Adv. Appl. 78 161-174.
    • (1995) Oper. Theory Adv. Appl. , vol.78 , pp. 161-174
    • Helffer, B.1
  • 5
    • 0009007414 scopus 로고    scopus 로고
    • Estimate of the difference between the Kac operator and the Schrödinger semigroup
    • To appear
    • ICHINOSE, T. and TAKANOBU, S. (1997). Estimate of the difference between the Kac operator and the Schrödinger semigroup. Comm. Math. Phys. To appear.
    • (1997) Comm. Math. Phys.
    • Ichinose, T.1    Takanobu, S.2
  • 6
    • 85033120441 scopus 로고    scopus 로고
    • Error bound in trace norm for Trotter-Kato product formula of Gibbs semigroups
    • To appear
    • ICHINOSE, T. and TAMURA, H. (1997). Error bound in trace norm for Trotter-Kato product formula of Gibbs semigroups. Asymptotic Analysis. To appear.
    • (1997) Asymptotic Analysis
    • Ichinose, T.1    Tamura, H.2
  • 10
    • 85016600983 scopus 로고
    • Schrödinger semigroups
    • SlMON, B. (1982). Schrödinger semigroups. Bull. Amer. Math. Soc. 7 447-526.
    • (1982) Bull. Amer. Math. Soc. , vol.7 , pp. 447-526
    • Slmon, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.