Publications

The published versions of the papers may slightly differ from the downloadable files below.

PhD-Thesis

Inequalities between ideal norms formed with orthonormal systems and applications to the theory of operator ideals, Friedrich-Schiller-Universität Jena, 1996

Habilitation, Thesis

Vector valued orthogonal series, vector valued Fourier transforms and averaging distances in Banach spaces, Friedrich-Schiller-Universität Jena, 2003

Submitted manuscripts

 49 The Curse of Dimensionality for Numerical Integration of Smooth Functions, with M. Ullrich, E. Novak and H. Woźniakowski 48 Discrepancy, Integration and Tractability 47 Successive radii of families of convex bodies, with B. González and M. Hernández Cifre 46 Entropy numbers of convex hulls in Banach spaces and applications, with B. Carl and P. Rudolph

Refereed papers, to appear

 45 Gelfand numbers and metric entropy of convex hulls with applications to integral operators, with B. Carl and A. Pajor, to appear in Positivity 44 Discontinuous information in the worst case and randomized settings, with E. Novak and H. Woźniakowski, to appear in Math. Nachr.

Refereed papers, appeared

 43 Asymptotic behavior of average Lp-discrepancies, J. Complexity 28 (2012), 425-439, with H. Weyhausen 42 The curse of dimensionality for monotone and convex functions of many variables, J. Approx. Theory 27 (2011), 955-965, with E. Novak and H. Woźniakowski 41 On lower bounds for the L2-discrepancy, J. Complexity 27 (2011), 127-132, with L. Markhasin 40 Johnson-Lindenstrauss lemma for circulant matrices, Random Structures Algorithms 39 (2011), 391-398, with J. Vybiral 39 Discrepancy of Hammersley points in Besov spaces of dominating mixed smoothness, Math. Nachr. 283 (2010), 478-488 38 On positive positive definite functions and Bochner's Theorem, J. Complexity 27 (2011), 264-272, with J. Vybiral 37 Expected Frobenius numbers, J. Comb. Theory A 118 (2011), 525–531, with I. Aliev and M. Henk 36 Optimal Importance Sampling for the Approximation of Integrals, J. Complexity 26 (2010), 125-134 35 A note on the metric geometry of the unit ball, Math. Zeitschrift 268 (2011), 887-896, with P. Nickolas and R. Wolf 34 p-nuclear operators in the sense of Grothendieck, Math. Nachr. 283 (2010), 232-261, with A. Pietsch 33 Saturated packings and reduced coverings obtained by perturbing tilings, Discrete Math. 309 (2009), 5060-5068, with C. Richter 32 On s-numbers and Weyl inequalities of operators in Banach spaces, Bull. London Math. Soc. 41 (2009), 332-340, with B. Carl 31 On the degree of compactness of embeddings between weighted modulation spaces, J. Funct. Spaces Appl. 6 (2008), 303-317, with I. Piotrowska and M. Piotrowski 30 Linear information versus function evaluations for L2-approximation, J. Approx. Theory 153 (2008), 97-107, with E. Novak and J. Vybiral 29 Tractability properties of the weighted star discrepancy, J. Complexity 24 (2008), 134--143, with F. Pillichshammer and W. Schmid 28 Cubature formula for symmetric measures in higher dimensions with few points, Math. Comp. 76 (2007), 1357-1372, with E. Novak 27 Duality of Fourier type with respect to locally compact abelian groups, Israel J. Math. 157 (2007), 209-218, with H. H. Lee 26 Optimal Weyl type inequalities for operators in Banach spaces, Positivity 11 (2007), 41-55, with B. Carl 25 Gelfand numbers of identity operators between Banach sequence spaces, Positivity 10 (2006), 111-133, with C. Michels 24 Optimal Weyl inequality in Banach spaces, Proc. Amer. Math. Soc. 134 (2006), 731-735 23 Approximation numbers of inclusions between Schatten classes, Rend. Circ. Mat. Palermo 76 (2005), 395-411, with C. Michels 22 The Knaster problem: more counterexamples Israel J. Math 145 (2005), 311-324, with C. Richter 21 Fourier type 2 operators with respect to locally compact abelian groups, Math. Nach. 276 (2004), 57-62, with M. Piotrowski 20 Covering numbers, Vapnik-Cervonenkis classes and bounds for the star-discrepancy, J. Complexity 20 (2004), 477-483 19 Tilings, packings, coverings, and the approximation of functions, Math. Nach. 267 (2004), 37-45, with C. Richter 18 On the non-equivalence of rearranged Walsh- and trigonometric systems in Lp, Stud. Math. 159 (2003), 435-451, with J. Wenzel 17 Vector Valued Fourier Transforms and Fourier Type, in Proceedings of the Seminario de Analisis Funcional, Sevilla, Spain 2002/2003 16 New sets with large Borsuk numbers, Discrete Math. 270 (2003), 137-147 , with C. Richter 15 Approximation numbers of identity operators between symmetric sequence spaces, J. Approx. Theory 118 (2002), 305-315 14 The average distance property of classical Banach spaces II, Bull. Austral. Math. Soc. 65 (2002), 511-520, with J. Wenzel 13 Spherical codes and Borsuk's conjecture,   Discrete Math. 243 (2002), 253-256 12 Averaging distances in finite dimensional  normed spaces  and  John's ellipsoid,  Proc. Amer. Math. Soc. 130 (2002), 579-584 11 Simulating the Walsh system with trigonometric polynomials and Fourier type of operators,   Arch. Math. 77 (2001), 323-327 10 Uniform quotient mappings of the plane with non-discrete point inverses,   Israel J. Math. 124 (2001), 203-213 9 Hilbert space factorization and Fourier type of operators,  Stud. Math. 145 (2001), 199-212 8 Operators of Rademacher and Gaussian subcotype,  J. London Math. Soc. 63 (2001), 453-468 7 The closed ideal of c0,p,q-summing operators,  Integral Equations Operator Theory 38 (2000), 302-316, with A. Pietsch 6 The average distance property of classical Banach spaces,  Bull. Austral. Math. Soc. 62 (2000), 119-134 5 Rademacher and Gaussian averages and Rademacher cotype of operators between Banach spaces,  Proc. Amer. Math. Soc. 128 (2000), 203-213 4 K-convex operators and Walsh type norms,  Math. Nach. 208 (1999), 121-140 3 Type norms with respect to characters of compact abelian groups and algebraic relations,  Arch. Math. 68 (1997), 265-273 2 On the type constants with respect to systems of characters of a compact abelian group,  Stud. Math. 118 (1996), 231-243 1 The 2-summing norm of lpn computed with n vectors,  Note Mat. 14 (1994), 81-89