Publications:

(A) Books

• (edited jointly with G. Ferreyra and G. R. Goldstein) Evolution Equations. Lecture Notes in Pure and Applied Math. 168, Marcel Dekker, 1994.
• (with W. Arendt, A. Grabosch, G. Greiner, U. Groh, H.P. Lotz, U. Moustakas, R. Nagel, U. Schlotterbeck) One-parameter Semigroups of Positive Operators, Lecture Notes Math. 1184, Springer Verlag, 1986.
• (with W. Arendt, Ch. Batty, and M. Hieber) Vector-Valued Laplace Transforms and Cauchy Problems ,  Monographs in Mathematics Vol. 96, Birkhaeuser Verlag, 2001. See also the “Featured Review” by the American Mathematical Society (MR1886588 (2003g:47072).
  

(B) Articles in refereed journals and proceedings:

• (with U. Groh). Stabilitaet starkstetiger, positiver Operatorhalbgruppen auf C^*-Algebren. Math. Annalen 256 (1981), 509-516.
• Well-posedness of abstract Cauchy problems. Semigroup Forum 29 (1884), 75-85.
• Asymptotic behavior of solutions of inhomogeneous abstract Cauchy problems. In: Proc. Conf. Physical Math. and Nonlinear Partial Differential Equations, Morgantown. Lecture Notes in Pure and Applied Math. 102 , Marcel Dekker, 1985.
• Well-posedness of higher order abstract Cauchy problems. Trans. Amer. Math. Soc. 295 (1986), 257-290 (PDF)
  
• Laplace transform and asymptotic behavior of strongly continuous semigroups. Houston J. Math. 12 (1986), 549-561.
• (with H. Engler and J. Sandefur). Second order strongly damped quasilinear equations In: Nonlinear Semigroups, Partial Differential Equations and Attractors, T.L. Gill, W.W. Zachary (eds.). Lecture Notes Math. 1248, Springer Verlag, 1987, 52-63.
• On the relation between the semigroup and its infinitesimal generator. Proc. Amer. Math. Soc. 100 (1987), 104-108.
• Integrated semigroups and their application to the abstract Cauchy problem. Pacific J. Math. 135 (1988), 111-155 (PDF).
  
• Integrated semigroups and their application to complete second order problems. Semigroup Forum 38 (1989), 233-251 (PDF).
  
• (with W. Arendt and U. Schlotterbeck) Interpolation of semigroups and integrated semigroups. Semigroup Forum 45 (1992), 26-37.
• (with M. Hieber and A. Holderrieth). Regularized semigroups and systems of linear partial differential equations. Ann. Scuola Norm. Sup. Pisa 19 (1993), 363-379 (PDF).
  
• (with B. Hennig) On representations, inversions and approximations of Laplace transforms in Banach spaces. Applicable Analysis 49 (1993), 151-170.
• Vector-valued Laplace transforms and semigroups. In: Proceedings of the `3rd International Workshop Conference on Evolution Equations, Control Theory, and Biomathematics', Han-sur-Lesse, Ph. Clement and G. Lumer (eds.), Lecture Notes in Pure and Applied Math. 155 (417-431), Marcel Dekker, 1994.
• (with C. Knuckles) Remarks on the Cauchy problem for multi-valued linear operators. In: Partial Differential Equations . G. Lumer, S.Nicaise, B.-W. Schulze (eds.). Mathematical Research 82 (174-187), Akademie Verlag, 1994. (DVI) (PS) (PDF)
• (with B. Baeumer) Laplace transform methods for evolution equations. Conferenze del Seminario di Matematica dell'Universita di Bari 259 (1995), 27-60. (DVI) (PS) (PDF)
• (with G. Lumer) Signaux non-detectables dans des systemes gouvernes par des equations de type parabolique. C.R. Acad. Sci. Paris 325(1997), 731-736.
• (with B. Bäumer and G. Lumer) Convolution kernels and generalized functions. In: Generalized Functions, Operator Theory, and Dynamical Systems. C.R.C. Res. Notes Math., Chapman Hall, 1998
• (with G. Lumer) Asymptotic Laplace Transforms and Evolution Equations. In: Advances in Partial Differential Equations, Vol. 16 , Wiley-VCH (1999).
• (with G. Lumer) The Asymptotic Laplace Transform: New Results and Relation to Komatsu's Laplace Transform of Hyperfunctions. In: Partial Differential Equations on Multistructures , edited by F. Mehmeti, J. von Below, S. Nicaise, Lecture Notes Pure and Applied Mathematics 219, Marcel Dekker, 2001. (DVI) (PS) (PDF)
• (with S. Flory and Y. Zhuang) On the Regularization and Stabilization of Approximation Schemes for Semigroups. In: Partial Differential Equations and Spectral Theory , edited by M. Demuth and B.-W. Schulze, OT 126, Birkhaeuser Verlag, 2001. (DVI) (PS) (PDF)
• (with S. Flory and L.  Weis) Consistency and Stabilization of Rational Approximation Schemes for Semigroups. In: Evolution Equations – Applications to Physics, Industry, Life Sciences and Economics, edited by M. Iannelli and G. Lumer,   Birkhäuser Verlag, 2003
  
• (with M. Kovacs). On the inverse Laplace-Stieltjes transform of A-stable rational functions, New Zealand J. Math, to appear. (PDF)
• (with S. McAllister). Stabilized Approximations of Strongly Continuous Semigroups, J. Math. Analysis and Appl., to appear. (PDF)                    

(C) Articles in non refereed seminar notes:

• Abstract elliptic operators, analytic interpolation semigroups, and Laplace transforms of analytic functions. Semesterbericht Funktionalanalysis. Tuebingen, 1989.
• (with B. Straub). Fractional powers of operators with polynomially bounded resolvent. Semesterbericht Funktionalanalysis. Tuebingen, 1989.
• (with N. Abdelaziz). Degenerate abstract Cauchy problems. LSU Seminar Notes in Functional Analysis and PDEs. Baton Rouge, 1992. (DVI) (PS) (PDF)
• (with B. Bäumer). Relatively closed operators and evolution equations. LSU Seminar Notes in Functional Analysis and PDEs. Baton Rouge, 1993. (DVI) (PS) (PDF)
• (with B. Bäumer). Existence and uniqueness of solutions of ordinary linear differential equations in Banach spaces. (DVI) (PS) (PDF)

• (with P. Jara and K. Ozer). Rational Inversion of the Laplace Transform, 2007. (PDF)
  
• (with S.Y. Chang, J.C. Principe, and H-C. Wu: Theories). Analysis and Bounds of the Finite-Support Approximation for the Inverses of Mixing-Phase FIR Systems, 2007. (PDF)
  

(E) Articles in preparation:

• (with B. Bäumer) Remarks on the integrability and differentiability of functions. 
• (with G. Castaneda, K. Gardner, and S. Liggonah). Distance According to Elvis.
• (with H. Prado). Convolution Semigroups.
• (with Sarah McAllister and Yu Zhuang). On Stabilized Versions of the Trotter-Kato Theorem and the Chernoff Product Formula.