Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



Representation of fractional powers of infinitesimal generators of semigroups

Authors: H. Berens, P. L. Butzer and U. Westphal
Journal: Bull. Amer. Math. Soc. 74 (1968), 191-196
MathSciNet review: 0220096
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. A. V. Balakrishnan, An operational calculus for infinitesimal generators of semigroups, Trans. Amer. Math. Soc. 91 (1959), 330-353. MR 107179
  • 2. A. V. Balakrishnan, Fractional powers of closed operators and the semigroups generated by them, Pacific J. Math. 10 (1960), 419-437. MR 115096
  • 3. H. Berens and U. Westphal, Zur Charakterisierung von Ableitungen nichtganzer Ordnung im Rahmen der Laplacetransformation, Math. Nachr. (in press).
  • 4. P. L. Butzer and H. Berens, Semi-groups of operators and approximation, Grundlehren d. math. Wiss., vol. 145, Springer, New York 1967. MR 230022
  • 5. E. Hille and R. S. Phillips, Functional analysis and Semi-groups, Amer. Math. Soc. Colloq. Publ. Vol. 31, rev. ed., Amer. Math. Soc., Providence, R. I., 1957. MR 89373
  • 6. H. Komatsu, Fractional powers of operators, Pacific J. Math. 19 (1966), 285-346. MR 201985
  • 7. J. L. Lions and J. Peetre, Sur une classe d'espaces d'interpolation, Inst. Hautes Etudes Sci. Publ. Math. 19 (1964), 5-68. MR 165343
  • 8. U. Westphal, Charakterisierungen von Saturationsklassen für singulare Integrale vom Laplaceschen Faltungstyp, TH Aachen, 1966.
  • 9. K. Yosida, Functional analysis, Grundlehren d. math. Wiss. vol. 123, Springer, Berlin, 1965.

Additional Information


American Mathematical Society