Publications:

- (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,*2nd edition, Birkhaeuser Verlag, 2011. See also the “Featured Review” by the American Mathematical Society (MR1886588 (2003g:47072). - (edited jointly with H. Amann, W. Arendt, M. Hieber, S. Nicaise, J. v. Below) Functional Analysis and Evolution Equations: The Günter Lumer Volume, Birkhäuser Verlag, 2008, 636 p.

- (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. Swabian-Apulian Meeting on Operator Semigroups and
Evolution Equations (Italian) (Ruvo di Puglia, 1994).
*Conferenze del Seminario di Matematica dell'Universita di Bari*258-260 (1994), 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 Journal of Mathematics 36 (2007), 41-56. (PDF)
- (with Sarah McAllister) Stabilized Approximations of Strongly Continuous Semigroups, J. Math. Anal. Appl. 342 (2008) 181–191 (PDF)
- (with Shih Yu Chang, Hsiao-Chun Wu, and Jose C. Principe)
Theories, Analysis and Bounds of the Finite-Support
Approximation for the Inverses of Mixing-Phase FIR Systems, IEEE
Transactions on Circuits and Systems I, 56 (2009), 2181 - 2194 (PDF).

- (with P. Jara and K. Ozer). Rational Inversion of the Laplace
Transform, Journal of Evolution Equations 12 (2), 2012, 435-457
(PDF) .

- (with K. Ozer and T. Sandmaier). Rational Approximation of Semigroups without Scaling and Squaring. Discrete and Continuous Dynamical Systems 33 (2013), 5305 - 5317 (PDF)
- (with Sarah McAllister, Armin Reiser, Yu Zhuang).
Stabilizations of the Trotter-Kato Theorem and the Chernoff
Product Formula, Semigroup Forum 86 (2013), 511-524. (PDF)

- 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 K. Ozer and L. Windsperger). Sharp Error
Estimates for Rational Pade Approximations. (PDF)

- (with Bruno Beltran, Avery St. Dizier, and Tyler Wales).
Approximating the Matrix Exponential Without Scaling and
Squaring.

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