Indagationes Mathematicae
Books (view my Amazon author page)
Volume II: Probabilistic Techniques and Operator Theory (Errata are available here (last update: 08.11.2024)) Volume III: Harmonic Analysis and Spectral Theory (Errata are available here (last update: 12.11.2024)) Volume IV: Stochastic Analysis (in preparation)
Edita:
Lecture Notes:Stochastic Evolution EquationsLecture notes of the Internet Seminar 2007/08 (version May 07, 2010) Papers:Downloadable files are preprint versions. They may differ at minor points from the published papers.MathematicsLévy measures on Banach spaces arxiv.org/pdf/2406.09362, to appear in Ann. Inst. Henri Poincaré Thermal time as an unsharp observable J. Math. Phys. 65 (2024), article 032105 Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices Comptes Rendus - Mathématique 361 (2023), 835-846 Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes Stoch. Partial Differ. Equ. Anal. Comput. 10 (2022), no 2, 516-581 Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions IMA J. Numer. Anal. 41 (2021), no 1, 493-548 The Weyl calculus for group generators satisfying the canonical commutation relations J. Operator Th. 83 (2020), no 2, 253-298 Maximal estimates for stochastic convolutions in 2-smooth Banach spaces and applications to stochastic evolution equations Philos. Trans. Roy. Soc. A 378 (2020), article 2185 Backward stochastic evolution equations in UMD Banach spaces In: "Positivity and Noncommutative Analysis, Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday" Trends in Mathematics, 2019, pp. 381-404 On conditional expectations in L^p(μ;L^q(ν;X)) Positivity 23 (2019), 11-19 The Weyl calculus with respect to the Gaussian measure and restricted L^p-L^q boundedness of the Ornstein-Uhlenbeck semigroup in complex time Bull. Soc. Math. France 146 (2018), no 4, 691-712 L^p-Analysis of the Hodge--Dirac operator associated with Witten Laplacians on complete Riemannian manifolds J. Geom. Anal. 28 (2018), no. 4, 3109-3138 Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions Annali Mat. Pura Appl. 195 (2016), 1889-1915 On the constant in a transference inequality for the vector-valued Fourier transform Austral. J. Math. Anal. Appl. 13 (1), Article 2, pp. 1-11, 2016 MR 3 505 504 Stochastic integration in Banach spaces - a survey In: "Stochastic Analysis: A Series of Lectures" (Lausanne, 2012) Progress in Probability, Vol. 68, Birkhäuser Verlag, 2015 The L^p-Poincaré inequality for analytic Ornstein-Uhlenbeck operators In: "Operator Semigroups meet Complex Analysis, Harmonic Analysis and Mathematical Physics" (Hernnhut, 2013) Operator Theory: Advances and Applications, Vol. 250, Birkhäuser Verlag, Basel, 2015 MR 3 496 370 Maximal γ-regularity J. Evol. Equ. 15 (2015), no. 2, 361-402 MR 3 353 141 Second quantisation for skew convolution products of infinitely divisible measures Infin. Dimens. Anal. Quantum Probab. Relat. Top. 18 (2015), no. 1, paper 1550003 MR 3 324 719 On the R-boundedness of stochastic convolution operators Positivity 19 (2015), 355-384 MR 3 357 999 Conical stochastic maximal L^p-regularity for 1 ≤ p < ∞ Math. Ann. 359 (2014), no. 3, 863-889 MR 3 231 019 Second quantisation for skew convolution products of measures in Banach spaces Electron. J. Probab. 19 (2014), paper 11, 1-17 MR 3 164 764 Compactness in the Lebesgue-Bochner spaces L^p(μ;X) Indag. Math. 25 (2014), no. 2, 389-394 MR 3 151 824 Poisson stochastic integration in Banach spaces Electron. J. Probab. 18 (2013), paper 100, 1-28 MR 3 141 801 Pathwise Hölder convergence of the implicit Euler scheme for semi-linear SPDEs with multiplicative noise Numerische Mathematik 125 (2013), no. 2, 259-345 MR 3 101 829 The stochastic Weiss conjecture for bounded analytic semigroups J. London Math. Soc. 88 (2013), no. 1, 181-201 MR 3 092 264 Equivalence of laws and null controllability for SPDEs driven by a fractional Brownian motion NoDEA 20 (2013), no. 4, 1473-1498 MR 3 078 239 L^2-Theory for non-symmetric Ornstein-Uhlenbeck semigroups on domains J. Evol. Equ. 13 (2013), no. 1, 107-134 MR 3 020 139 Uniformly γ-radonifying families of operators and the stochastic Weiss conjecture Operators and Matrices 6 (2012), no. 4, 767-792 MR 3 025 035 Whitney coverings and the tent spaces T^{1,q}(γ) for the Gaussian measure Arkiv för Matematik 50 (2012), 379-395 MR 2 961 328 Maximal L^p-regularity for stochastic evolution equations SIAM J. Math. Anal. 44 (2012), no. 3, 1372-1414 MR 2 982 717 Continuous dependence on the coefficients and global existence for stochastic reaction-diffusion equations J. Differential Equations 253 (2012), 1036-1068 MR 2 922 662 Stochastic maximal L^p-regularity Ann. Probab. 40 (2012), 788-812 MR 2 952 092 Stochastic evolution equations driven by Liouville fractional Brownian motion Czech. Math. J. 62 (2012), 1-27 MR 2 899 731 A maximal inequality for stochastic convolutions in 2-smooth Banach spaces Electron. Commun. Probab. 16 (2011), 689-705 MR 2 861 433 Non-tangential maximal functions and conical square functions with respect to the Gaussian measure Pub. Mat. 55 (2011), 313-341 MR 2 839 445 Approximating the coefficients in semilinear stochastic partial differential equations J. Evol. Equ. 11 (2011), 577-604 MR 2 827 101 Gradient estimates and domain identification for analytic Ornstein-Uhlenbeck operators In: "Parabolic Problems: The Herbert Amann Festschrift" Progress in Nonlinear Differential Equations and Their Applications, Vol. 80, Birkhäuser Verlag, 2011, 463-477 MR 3 052 592 A remark on the factorization method In: "Stochastic Partial differential Equations and Applications" (Levico Terme, 2008) Quaderni di Matematica, Vol. 25, Universita di Napoli, 2010, 257-270 MR 2 985 092 γ-Radonifying operators - a survey Proceedings of the CMA 44 (2010), 1-62 MR 2 655 391 Convergence rates of the splitting scheme for parabolic linear stochastic Cauchy problems SIAM J. Numer. Anal. 48 (2010), 428-451 MR 2 646 103 Spaces of operator-valued functions measurable with respect to the strong operator topology In: Vector Measures, Integration and Applications (Eichstätt, 2008) Operator Theory: Advances and Applications, Vol. 201, Birkhäuser, 2010, 65--78 MR 2 743 975 Vector measures of bounded γ-variation and stochastic integrals In: "Vector Measures, Integration and Applications" (Eichstätt, 2008) Operator Theory: Advances and Applications, Vol. 201, Birkhäuser, 2010, 303--312 MR 2 743 996 Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces J. Funct. Anal. 257 (2009), 2410-2475 MR 2 555 015 Asymptotic behaviour of C_0-semigroups and γ-boundedness of the resolvent J. Math. Anal. Appl. 358 (2009), 380-388 MR 2 532 514 On the domain of nonsymmetric Ornstein-Uhlenbeck operators in Banach spaces Infin. Dimens. Anal. Quantum Probab. Relat. Top. 11 (2008), 603-626 MR 2 483 799 Conical square function estimates in UMD Banach spaces and applications to H-infinity functional calculi J. Analyse Math. 106 (2008), 317-351 MR 2 448 989 Stochastic evolution equations in UMD Banach spaces J. Funct. Anal. 255 (2008), 940-993 MR 2 433 958 Stochastic integration of operator-valued functions with respect to Banach space-valued Brownian motion Potential Anal. 29 (2008), 65-88 MR 2 421 495 Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation J. Differential Equations 245 (2008), 30-58 MR 2 422 709 A Clark-Ocone formula in UMD Banach spaces Electron. Comm. Probab. 13 (2008), 151-164 MR 2 399 277 Embedding vector-valued Besov spaces into spaces of gamma-radonifying operators Math. Nachr. 281 (2008), 238-252 MR 2 387 363 Conditions for stochastic integrability in UMD Banach spaces In: "Banach Spaces and their Applications in Analysis: In Honor of Nigel Kalton's 60th Birthday" De Gruyter Proceedings in Mathematics, De Gruyter, 2007, 127-146 MR 2 374 704 On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions Archiv Math. (Basel) 89 (2007), 226-236 MR 2 352 390 Compactness in vector-valued Banach function spaces Positivity 11 (2007), 461-467 MR 2 336 209 Stochastic integration in UMD Banach spaces Ann. Probab. 35 (2007), 1438-1478 MR 2 330 977 A semigroup approach to stochastic delay equations in spaces of continuous functions Semigroup Forum 74 (2007), 227-239 MR 2 312 964 A stochastic Datko-Pazy theorem J. Math. Anal. Appl. 329 (2007), 1230-1239 MR 2 296 921 Continuity versus nonexistence for a class of linear stochastic Cauchy problems driven by a Brownian motion Czech. Math. J. 56 (131) (2006), 579-586 MR 2 291 757 Space-time regularity of solutions of the parabolic stochastic Cauchy problem Stoch. Anal. Appl. 24 (2006), 843-869 MR 2 241 096 Invariant measures for the linear stochastic Cauchy problem and R-boundedness of the resolvent J. Evol. Equ. 6 (2006), 205-228 MR 2 227 694 Invariant measures for stochastic Cauchy problems with asymptotically unstable drift semigroup Electron. Commun. Probab. 11 (2006), 24-34 MR 2 211 424 On the stochastic Fubini theorem in infinite dimensions In: "Stochastic Partial Differential Equations and Applications - VII" (Levico Terme, 2004) Lecture Notes in Pure and Applied Mathematics, Volume 245, Chapman & Hall/CRC, 2005, 323-336 MR 2 227 239 Weak limits and integrals of Gaussian covariances in Banach spaces Probab. Math. Statist. 25 (2005), 55-74 MR 2 211 356 Norm discontinuity and spectral properties of Ornstein-Uhlenbeck semigroups J. Evol. Equ. 5 (2005), 557-576 MR 2 201 527 Second quantization and the L^p-spectrum of nonsymmetric Ornstein-Uhlenbeck operators Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8 (2005), 473-496 MR 2 172 310 On the action of Lipschitz functions on vector-valued random sums Archiv Math. (Basel) 85 (2005), 544-553 MR 2006i:46013 Separated sequences in uniformly convex Banach spaces Colloq. Math. 102 (2005), 147-153 MR 2005m:46023 Null controllability and the algebraic Riccati equation in Banach spaces SIAM J. Control Optim. 43 (2005), 1313-1327 MR 2005k:93021 Stochastic integration of functions with values in a Banach space Studia Math. 166 (2005), 131-170 MR 2005j:60107 A Lie-Trotter product formula for Ornstein-Uhlenbeck semigroups in infinite dimensions J. Evol. Equ. 4 (2004), 53-73 MR 2004m:60139 Space-time regularity for linear stochastic evolution equations driven by spatially homogeneous noise J. Math. Kyoto Univ. 43 (2003), 275-317 MR 2005c:60077 Mean square continuity of Ornstein-Uhlenbeck processes in Banach spaces In: "Evolution Equations 2000" (Levico Terme, 2000) Progr. Nonlinear Differential Equations Appl., Vol.55, Birkhäuser, 2003, 97-102 MR 2004k:60161 Transition semigroups of Banach space valued Ornstein-Uhlenbeck processes Acta Appl. Math. 76 (2003), 283-330 (Revised version) MR 2004b:47075 On closability of directional gradients Potential Anal. 18 (2003), 289-310 MR 2004a:60107 Approximating Bochner integrals by Riemann sums Indag. Math. N.S. 13 (2002), 197-208 MR 2004j:28020 Lower semicontinuity and the theorem of Datko and Pazy Integral Equations Operator Theory 42 (2002), 482-492 MR 2003i:47044 On individual stability of C_0-semigroups Proc. Amer. Math. Soc. 130 (2002), 2325-2333 MR 2003a:47094 Uniqueness of invariant measures for the stochastic Cauchy problem in Banach spaces In: "Recent Advances in Operator Theory and Related Topics: The Béla Szökefalvi-Nagy Memorial Volume" Operator Theory: Advances and Applications, Vol. 127, Birkhäuser, 2001, 491-517 MR 2003d:60115 Banach space valued Ornstein-Uhlenbeck processes indexed by the circle In: "Evolution Equations and their Applications in Physical and Life Sciences" (Bad Herrenalb, 1998) Lecture Notes in Pure and Applied Mathematics, Vol. 215, Marcel Dekker, 2000, 435-452 MR 2002e:60052 The vector-valued Loomis theorem for the half-line and individual stability of C_0-semigroups: a counterexample Semigroup Forum 60 (2000), 271-283 MR 2002b:47082 Continuity and representation of Gaussian Mehler semigroups Potential Anal. 13 (2000), 199-211 MR 2002a:47066 Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem Studia Math. 143 (2000), 43-74 MR 2001m:60143 Asymptotic behaviour of C_0-semigroups with bounded local resolvents Math. Nachr. 219 (2000), 65-83 MR 2001i:47065 Equivalence of Banach space-valued Ornstein-Uhlenbeck processes Stoch. Stoch. Reports 69 (2000), 77-94 MR 2000m:60039 Norm discontinuity of Ornstein-Uhlenbeck semigroups Semigroup Forum 59 (1999), 389-403 MR 2002g:47090 Sandwiching C_0-semigroups J. London Math. Soc. 60 (1999), 581-588 MR 2000g:47049 B-convexity, the analytic Radon-Nikodym property, and individual stability of C_0-semigroups J. Math. Anal. Appl. 231 (1999), 1-20 MR 2000i:47077 On the existence and growth of mild solutions of the abstract Cauchy problem for operators with polynomially bounded resolvent Houston J. Math. 24 (1998), 137-172 MR 2001a:34103 The norm of a complex Banach lattice Positivity 1 (1998), 383-392 MR 2000j:46035 Nonsymmetric Ornstein-Uhlenbeck semigroups in Banach spaces J. Funct. Anal. 155 (1998), 495-535 MR 99h:60083 Robust stability of C_0-semigroups and an application to stability of delay equations J. Math. Anal. Appl. 226 (1998), 82-100 MR 99g:47092 On small solutions of delay equations in infinite dimensions Integral Equations Operator Theory 31 (1998), 178-185. MR 99c:34181 Ditkin's condition for certain Beurling algebras Proc. Amer. Math. Soc. 126 (1998), 1397-1407 MR 98k:43009 Tauberian theorems and stability of solutions of the Cauchy problem Trans. Amer. Math. Soc. 350 (1998), 2087-2103 MR 98h:47055 Local spectra and individual stability of uniformly bounded C_0-semigroups Trans. Amer. Math. Soc. 350 (1998), 2071-2085 MR 98h:47054 Elementary operator-theoretic proof of Wiener's Tauberian theorem Rendic. Istit. Matem. Univ. Trieste., Suppl. Vol. XXVIII (1997), 281-286 MR 99a:47058 Polynomially bounded operators whose spectrum on the unit circle has measure zero Acta Sci. Math. (Szeged) 63 (1997), 559-570 MR 99a:47007 Individual stability of C_0-semigroups with uniformly bounded local resolvent Semigroup Forum 53 (1996), 155-161 MR 97h:47036 Inequality of spectral bound and growth bound for positive semigroups in rearrangement invariant Banach function spaces Arch. Math. (Basel) 66 (1996), 406-416 MR 97c:47046 Characterization of exponential stability of a semigroup of operators in terms of its action by convolution on vector-valued function spaces over R_+ J. Differential Equations 124 (1996), 324-342 MR 96k:47074 On the asymptotic behaviour of a semigroup of linear operators Indag. Math. (N.S.) 6 (1995), 453-476 MR 96k:47073 Weak measurability of the orbits of an adjoint semigroup In: "Evolution Equations" (Baton Rouge, LA, 1992) Lecture Notes in Pure and Appl. Math., Vol. 168, Marcel Dekker, 1995, 327-336 MR 95h:47058 On the orbits of an operator with spectral radius one Czechoslovak Math. J. 45 (120) (1995), 495-502 MR 96f:47009 Exponential stability of operators and operator semigroups J. Funct. Anal. 130 (1995), 293-309 MR 96f:47006 Remark on a theorem of Riddle, Saab, and Uhl Quaestiones Math. 17 (1994), 183-187 MR 95e:46058 The adjoint of a positive semigroup Compositio Math. 90 (1994), 99-118 MR 95b:47048 Abstract multiplication semigroups Math. Z. 213 (1993), 1-15 MR 94e:47052 Some recent results on adjoint semigroups CWI Quarterly 6 (1993), 139-153 MR 94e:47051 A dichotomy theorem for the adjoint of a semigroup of operators Proc. Amer. Math. Soc. 119 (1993), 765-774 MR 93m:47044 Adjoints of semigroups acting on vector-valued function spaces Israel J. Math. 77 (1992), 305-333 MR 94f:47043 A converse of Lotz's theorem on uniformly continuous semigroups Proc. Amer. Math. Soc. 116 (1992), 525-527 MR 92m:47077 Reflexivity, the dual Radon-Nikodym property, and continuity of adjoint semigroups II Indag. Math. (N.S.) 2 (1991), 243-250 MR 93f:47047 On the topology induced by the adjoint of a semigroup of operators Semigroup Forum 43 (1991), 378-394 MR 93e:47049 Certain semigroups on Banach function spaces and their adjoints In: Semigroup Theory and Evolution Equations (Delft, 1989) Lecture Notes in Pure and Appl. Math., Vol. 135, Marcel Dekker, 1991, 383-390 MR 93d:47078 Reflexivity, the dual Radon-Nikodym property, and continuity of adjoint semigroups Indag. Math. (N.S.) 1 (1990), 365-379 MR 92k:46019 Hahn-Banach type theorems for adjoint semigroups Math. Ann. 287 (1990), 63-71 MR 91e:47042 PhysicsDelayed choice experiments: An analysis in forward time Quantum Studies: Mathematics and Foundations 11 (2024), 391-408 Relational analysis of the Frauchiger--Renner paradox and interaction-free detection of records from the past Foundations of Physics, Article number 45 (2021) The Garrison-Wong quantum phase operator revisited arXiv:2008.08935 BiologyChaos or noise in EEG signals; dependence on state and brain site Electroenceph. and Clin. Neurophys. 79 (1991), 371-381 Cellular and network mechanisms in the kindling model of epilepsy: the role of GABA-ergic inhibition and the emergence of strange attractors In: "Machinery of the Mind", Chapter 6, Birkhäuser, Basel, 1990, 115-139 Recreational and outreachWigner's `unreasonable effectiveness of mathematics' as a philosophical problem In: "Mathematisches Denken", Proceedings of the Rom Seminar 2017 Filosofie van de Wiskunde - een impressie MaCHazine 20 (1) 2015, 40-41 (in Dutch) Stochastische integratie in Banachruimten Nieuw Archief voor Wiskunde 5/15 2014 (3), 180-187 (in Dutch) De KPZ-vergelijking Nieuw Archief voor Wiskunde 5/15 2014 (1), 37-39 (in Dutch) MR 3 222 491 Op sabbatical MaCHazine 18 (3) 2014, 24-25 (in Dutch) Infinite Dimensions (Inaugural lecture, in Dutch) Nieuw Archief voor Wiskunde 10 (2009), no. 1, 22-28 Van Fourier transformaties tot stochastische differentiaalvergelijkingen MaCHazine 12 (4) 2008, 32-34 (in Dutch) De wiskunde van kleurplaten MaCHazine 7 (2) 2003, 12-15 (in Dutch)
The nature of fractal geometry CWI Quarterly 3 (1990), 137-149 MR 91j:58091 Several elementary proofs that 0=1 Nieuw Archief voor Wiskunde, 4e Serie, Deel 8 (1990), 253-256 |