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References
W. Arendt and S. Bu, Sums of Bisectorial Operators and applications, Integral Equations and Operator Theory, submitted 2004.
P. Auscher, A. McIntosh and A. Nahmod, Holomorphic functional calculi of operators, quadratic estimates and interpolation, Indiana Univ. Math. J. 46 (1997), no. 2, 375–403.
G. Da Prato and P. Grisvard, Sommes d’opérateurs linéaires et équations différentielles opérationnelles, J. Math. Pures Appl. (9) 54 (1975), no. 3, 305–387.
G. Dore and A. Venni, Separation of two (possibly unbounded) components of the spectrum of a linear operator, Integral Equations and Operator Theory, Vol. 12 (1989), 470–485.
G. Dore and A. Venni, H∞functional calculus for sectorial and bisectorial operators, Preprint 2001.
M. Duelli, Spectral calculus for bisectorial operators and applications to linear and non-linear evolution equations, doctoral dissertation, Universität Ulm, in preparation.
M. Haase, The functional calculus for sectorial operators and similarity methods, doctoral dissertation, Universität Ulm, 2003.
M. Hieber and J. Prüss, Functional calcului for linear operators in vector-valued Lp-spaces via the transference principle, Adv. Differential Equations 3 (1998), no. 6, 847–872.
N.J. Kalton, P.C. Kunstmann and L. Weis, Perturbation and Interpolation Theorems for the H∞-calculus with Applications to Differential Operators, submitted.
N.J. Kalton and L. Weis, The H∞Äcalculus and sums of closed operators, Math. Ann. 321 (2001), no. 2, 319–345.
P.C. Kunstmann and L. Weis, Maximal L p -regularity for Parabolic equations, Fourier multiplier theorems and H∞-functional calculus, in: Functional Analytic Methods for Evolution Equations, M. Ianelli, R. Nagel and S. Piazzera, eds., Lecture Notes for Mathematics, Springer, 2004.
S. Monniaux, Générateur analytique et régularite maximale, Thèse, Université de Franche-Compté, Besançon, 1995.
J. Prüss, Evolutionary Integral Equations and Applications, Birkhäuser Verlag, Monographs in Mathematics, 87, 1993.
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Duelli, M., Weis, L. (2005). Spectral Projections, Riesz Transforms and H∞-calculus for Bisectorial Operators. In: Brezis, H., Chipot, M., Escher, J. (eds) Nonlinear Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 64. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7385-7_6
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