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Volumn 150, Issue 2, 1997, Pages 307-355

Functional calculus for infinitesimal generators of holomorphic semigroups

Author keywords

Holomorphic semigroups; functional calculus; multipliers; stratified Lie groups; fractional derivatives; Leibniz formula

Indexed keywords


EID: 0031281965     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1997.3136     Document Type: Article
Times cited : (29)

References (38)
  • 1
    • 0000044543 scopus 로고
    • Analyse spectral des opérateurs hermitiens d'un espace de Banach
    • Baillet M. Analyse spectral des opérateurs hermitiens d'un espace de Banach. J. London Math. Soc. 19:1979;497-508.
    • (1979) J. London Math. Soc. , vol.19 , pp. 497-508
    • Baillet, M.1
  • 2
    • 0000095471 scopus 로고
    • Spectral distributions and generalization of Stone's theorem
    • Balabane M., Emamirad H., Jazar M. Spectral distributions and generalization of Stone's theorem. Act. Appl. Math. 31:1993;275-295.
    • (1993) Act. Appl. Math. , vol.31 , pp. 275-295
    • Balabane, M.1    Emamirad, H.2    Jazar, M.3
  • 3
    • 84967773652 scopus 로고
    • Spectral families of projections, semigroups and differential operators
    • Benzinger H., Berkson E., Gillespie T. A. Spectral families of projections, semigroups and differential operators. Trans. Amer. Math. Soc. 275:1983;431-475.
    • (1983) Trans. Amer. Math. Soc. , vol.275 , pp. 431-475
    • Benzinger, H.1    Berkson, E.2    Gillespie, T.A.3
  • 4
    • 0011008144 scopus 로고
    • Multipliers with respect to spectral measures in Banach spaces and approximation
    • Butzer P. L., Nessel R. J., Trebels W. Multipliers with respect to spectral measures in Banach spaces and approximation. J. Approx. Theory. 8:1973;335-356.
    • (1973) J. Approx. Theory , vol.8 , pp. 335-356
    • Butzer, P.L.1    Nessel, R.J.2    Trebels, W.3
  • 7
    • 84966241442 scopus 로고
    • pbounds for spectral multipliers on nilpotent groups
    • pbounds for spectral multipliers on nilpotent groups. Trans. Amer. Math. Soc. 328:1991;73-81.
    • (1991) Trans. Amer. Math. Soc. , vol.328 , pp. 73-81
    • Christ, M.1
  • 8
    • 0000787440 scopus 로고
    • The functional calculus
    • Davies E. B. The functional calculus. J. London Math. Soc. 52:1995;166-176.
    • (1995) J. London Math. Soc. , vol.52 , pp. 166-176
    • Davies, E.B.1
  • 10
    • 51249172224 scopus 로고
    • Functional calculus for generators of uniformly bounded holomorphic semigroups
    • de Laubenfels R. Functional calculus for generators of uniformly bounded holomorphic semigroups. Semigroup Forum. 38:1989;91-103.
    • (1989) Semigroup Forum , vol.38 , pp. 91-103
    • De Laubenfels, R.1
  • 11
    • 33646532357 scopus 로고
    • Unbounded well-bounded operators, strongly continuous semigroups and the Laplace transform
    • de Laubenfels R. Unbounded well-bounded operators, strongly continuous semigroups and the Laplace transform. Studia Math. 103:1992;159.
    • (1992) Studia Math. , vol.103 , pp. 159
    • De Laubenfels, R.1
  • 12
    • 0003288365 scopus 로고
    • Existence Families, Functional Calculi and Evolution Equations
    • Berlin: Springer-Verlag
    • de Laubenfels R. Existence Families, Functional Calculi and Evolution Equations. Lecture Notes in Math. 1570:1994;Springer-Verlag, Berlin.
    • (1994) Lecture Notes in Math. , vol.1570
    • De Laubenfels, R.1
  • 17
    • 51249187555 scopus 로고
    • A note on spherical summation multipliers
    • Fefferman C. A note on spherical summation multipliers. Israel J. Math. 15:1973;44-52.
    • (1973) Israel J. Math. , vol.15 , pp. 44-52
    • Fefferman, C.1
  • 18
    • 84960609250 scopus 로고
    • Some elementary inequalities for integrals with applications to Fourier transforms
    • Flett T. M. Some elementary inequalities for integrals with applications to Fourier transforms. Proc. London Math. Soc. 29:1974;538-556.
    • (1974) Proc. London Math. Soc. , vol.29 , pp. 538-556
    • Flett, T.M.1
  • 21
    • 0011008145 scopus 로고
    • A characterization of localized Bessel potential spaces and applications to Jacobi and Hankel multipliers
    • Gasper G., Trebels W. A characterization of localized Bessel potential spaces and applications to Jacobi and Hankel multipliers. Studia Math. 65:1979;243-278.
    • (1979) Studia Math. , vol.65 , pp. 243-278
    • Gasper, G.1    Trebels, W.2
  • 23
    • 0001601951 scopus 로고
    • Multiplier theorem on generalized Heisenberg groups
    • Hebisch W. Multiplier theorem on generalized Heisenberg groups. Colloquium Math. 65:1993;231-239.
    • (1993) Colloquium Math. , vol.65 , pp. 231-239
    • Hebisch, W.1
  • 24
    • 0000721010 scopus 로고
    • Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transforms
    • Herz C. Lipschitz spaces and Bernstein's theorem on absolutely convergent Fourier transforms. J. Math. Mech. 18:1968;283-323.
    • (1968) J. Math. Mech. , vol.18 , pp. 283-323
    • Herz, C.1
  • 26
    • 0001744710 scopus 로고
    • Almost everywhere summability on nilmanifolds
    • Hulanicki A., Jenkins J. Almost everywhere summability on nilmanifolds. Trans. Amer. Math. Soc. 278:1983;703-715.
    • (1983) Trans. Amer. Math. Soc. , vol.278 , pp. 703-715
    • Hulanicki, A.1    Jenkins, J.2
  • 28
    • 0003269236 scopus 로고
    • Spectral Theory of Banach Space operators
    • Berlin: Springer-Verlag
    • Kantorovitz S. Spectral Theory of Banach Space operators. Lecture Notes in Math. 1012, 1983;Springer-Verlag, Berlin.
    • (1983) Lecture Notes in Math. , vol.1012
    • Kantorovitz, S.1
  • 29
  • 30
    • 0001106922 scopus 로고
    • Vector-valued multipliers on stratified groups
    • Mauceri G., Meda S. Vector-valued multipliers on stratified groups, Rev. Mat. Iberoamericana. 6:1990;141-154.
    • (1990) Rev. Mat. Iberoamericana , vol.6 , pp. 141-154
    • Mauceri, G.1    Meda, S.2
  • 35
    • 0000828022 scopus 로고
    • Multiplicateurs associés aux souslaplaciens sur les groupes homogènes
    • Sikora A. Multiplicateurs associés aux souslaplaciens sur les groupes homogènes. C. R. Acad. Sci. Paris. 315:1992;417-419.
    • (1992) C. R. Acad. Sci. Paris , vol.315 , pp. 417-419
    • Sikora, A.1
  • 37
    • 0010999832 scopus 로고
    • Some Fourier multiplier criteria and spherical Bochner
    • Trebels W. Some Fourier multiplier criteria and spherical Bochner. Rev. Roumaine Math. Pures Appl. 20:1975;1173-Riesz kernel.
    • (1975) Rev. Roumaine Math. Pures Appl. , vol.20 , pp. 1173-Rieszkernel
    • Trebels, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.