|
[1]
|
Haase, M. (2011) Transference Principles for Semigroups and a Theorem of Peller. Journal of Functional Analysis, 261, 2959-2998. [CrossRef]
|
|
[2]
|
Calderon, A.P. (1968) Ergodic Theory and Translation-Invariant Operators. Proceedings of the National Academy of Sciences of the United States of America, 59, 349-353. [CrossRef] [PubMed]
|
|
[3]
|
Coiffman, R.R. and Weiss, G. (1976) Transference Methods in Analysis. CBMS Regional Conference Series in Mathematics, vol. 31. American Mathematical Society, Providence, RI.
|
|
[4]
|
Coiffman, R. and Weiss, G. (1977) Some Examples of Transference Methods in Harmonic Analysis. Academic Press, London, 33-45. [CrossRef]
|
|
[5]
|
Arendt, W., Batty, C.J.K., Hieber, M. and Neubrander, F. (1989) Generalized Analyticity in UMD Space. Arkiv for Matematik, 27, 1-14. [CrossRef]
|
|
[6]
|
Blower, G. (2000) Maximal Functions and Transference for Groups of Operators. Proceedings of the Edinburgh Mathematical Society, 43, 57-71. [CrossRef]
|
|
[7]
|
Haase, M. (2007) Functional Calculus for Groups and Applications to Evolution Equations. Journal of Evolution Equations, 11, 529-554. [CrossRef]
|
|
[8]
|
Haase, M. (2009) A Transference Principle for General Groups and Functional Calculus on UMD Space. Mathematische Zeitschrift, 262, 281-299. [CrossRef]
|
|
[9]
|
von Neumann, J. (1951) Eine Spektraltheoorie fur allgemeine: Operator eneinesunitaren Raumes. Mathematische Nachrichten, 4, 258-281.
|
|
[10]
|
Lebow, A. (1968) A Power-Bounded Operator That Is Not Polynomially Bounded. Michigan Mathematical Journal, 15, 397-399. [CrossRef]
|
|
[11]
|
Arendt, W., Batty, C.J.K., Hieber, M. and Neubrander, F. (2001) Vector-Valued Laplace Transforms and Cauchy Problems, Monographs in Mathematics. vol. 96, Birkhauser, Basel, 523 p. [CrossRef]
|
|
[12]
|
Engel, K.-J. and Nagel, R. (2000) One-Parameter Semigroups for Linear Evolution Equations, vol. 194. Springer, Berlin/Heidelberg.
|
|
[13]
|
Haase, M. (2006) The Functional Calculus for Sectorial Operator. Operator Theory: Advances and Applications. Birkhauser, Basel. [CrossRef]
|
|
[14]
|
Le Merdy, C. (2000) A Bounded Compact Semigroup on Hilbert Space Not Similar to a Contaction One. Birkhauser, Basel, 213-216.
|
|
[15]
|
Eisner, T. and Zwart, H. (2008) The Growth of a C0-Semigroup Characterized by Its Cogenerator. Journal of Evolution Equations, 8, 749-764. [CrossRef]
|
|
[16]
|
Peller, V.V. (1982) Estimates of Functions of Power Bounded Operators on Hilbert Spaces. Journal of Operator Theory, 7, 341-372.
|
|
[17]
|
Vitse, P. (2005) A Band Limited and Besov Class Functional Calculus for Tadmor-Rittoperators. Archiv der Mathematik (Basel), 85, 374-385. [CrossRef]
|
|
[18]
|
Vitse, P. (2005) A Besov Class Functional Calculus for Bounded Holomorphic Semigroups. Journal of Functional Analysis, 228, 245-269. [CrossRef]
|
|
[19]
|
Kalton, N. and Weis, L. (2004) The H∞-Functional Calculus and Square Function Estimate. Unpublished Manuscript.
|
|
[20]
|
Le Merdy, C. (2010) γ-Bounded Representations of Amenable Groups. Advances in Mathematics, 224, 1641-1671. [CrossRef]
|
|
[21]
|
Burkholder, D.L. (2001) Martingales and Singular Integrals in Banach Spaces. In: Handbook of the Geometry of Banach Spaces, vol. 1, North-Holland, Amsterdam, 233-269. [CrossRef]
|
|
[22]
|
Hieber, M. and Pruss, J. (1998) Functional Calculi for Linear Operators in Vector-Valued Lp-Spaces via the Transference Principle. Advances in Difference Equations, 3, 847-872.
|
|
[23]
|
Boyadzhiev, K. and Delaubenfels, R. (1994) Spectral Theorem for Unbounded Strongly Continuous Groups on a Hilbert Space. Proceedings of the American Mathematical Society, 120, 127-136. [CrossRef]
|
|
[24]
|
Mclntosh, A. (1986) Operator Which Have an H∞ Functional Calculus. University of Canberra, Bruce, 210-231.
|
|
[25]
|
Haase, M. (2009) The Group Reduction for Bounded Cosine Functions on UMD Spaces. Mathematische Zeitschrif, 262, 281-299. [CrossRef]
|
|
[26]
|
Hille, E. and Phillips, R.S. (1974) Functional Analysis and Semi Group. The American Mathematical Society, Providence, 808 p.
|
|
[27]
|
van Neerven, J. (2010) γ-Radoniifying Operators—A Survey. Proceedings of the CMA, 44, 1-62.
|
|
[28]
|
Haase, M. (2006) Semigroup Theory via Functional Calculus. Preprint.
|
|
[29]
|
Garling, D.J.H. (2007) Inequalities: A Journey into Linear Analysis. Cambridge University Press, Cambridge. [CrossRef]
|