[1] Haase, M. (2011) Transference Principles for Semigroups and a Theorem of Peller. Journal of Functional Analysis, 261, 2959-2998.
https://doi.org/10.1016/j.jfa.2011.07.019
[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.
https://doi.org/10.1073/pnas.59.2.349
[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.
https://doi.org/10.1090/cbms/031
[5] Arendt, W., Batty, C.J.K., Hieber, M. and Neubrander, F. (1989) Generalized Analyticity in UMD Space. Arkiv for Matematik, 27, 1-14.
https://doi.org/10.1007/BF02386355
[6] Blower, G. (2000) Maximal Functions and Transference for Groups of Operators. Proceedings of the Edinburgh Mathematical Society, 43, 57-71.
https://doi.org/10.1017/S0013091500020691
[7] Haase, M. (2007) Functional Calculus for Groups and Applications to Evolution Equations. Journal of Evolution Equations, 11, 529-554.
https://doi.org/10.1007/s00028-007-0313-z
[8] Haase, M. (2009) A Transference Principle for General Groups and Functional Calculus on UMD Space. Mathematische Zeitschrift, 262, 281-299.
https://doi.org/10.1007/s00209-008-0373-y
[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.
https://doi.org/10.1307/mmj/1029000094
[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.
https://doi.org/10.1007/978-3-0348-5075-9
[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.
https://doi.org/10.1007/3-7643-7698-8
[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.
https://doi.org/10.1007/s00028-008-0416-1
[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.
https://doi.org/10.1007/s00013-005-1345-7
[18] Vitse, P. (2005) A Besov Class Functional Calculus for Bounded Holomorphic Semigroups. Journal of Functional Analysis, 228, 245-269.
https://doi.org/10.1016/j.jfa.2005.01.010
[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.
https://doi.org/10.1016/j.aim.2010.01.019
[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.
https://doi.org/10.1016/S1874-5849(01)80008-5
[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.
https://doi.org/10.1090/S0002-9939-1994-1186983-0
[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.
https://doi.org/10.1007/s00209-008-0373-y
[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.
https://doi.org/10.1017/CBO9780511755217