Friedrich Pillichshammer
Orcid: 0000-0001-6952-9218Affiliations:
- Johannes Kepler Universität Linz, Austria
According to our database1,
Friedrich Pillichshammer
authored at least 85 papers
between 2002 and 2025.
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Online presence:
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on zbmath.org
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on orcid.org
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on id.loc.gov
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on d-nb.info
On csauthors.net:
Bibliography
2025
J. Comput. Appl. Math., 2025
2024
Lebesgue constants for the Walsh system and the discrepancy of the van der Corput sequence.
CoRR, 2024
Conditions for tractability of the weighted L<sub>p</sub>-discrepancy and integration in non-homogeneous tensor product spaces.
CoRR, 2024
The L<sub>p</sub>-discrepancy for finite p>1 suffers from the curse of dimensionality.
CoRR, 2024
2023
The curse of dimensionality for the <i>L</i><sub><i>p</i></sub>-discrepancy with finite <i>p</i>.
J. Complex., December, 2023
Tractability of <i>L</i><sub>2</sub>-approximation and integration in weighted Hermite spaces of finite smoothness.
J. Complex., October, 2023
J. Complex., June, 2023
IEEE ACM Trans. Audio Speech Lang. Process., 2023
Bernstein approximation and beyond: proofs by means of elementary probability theory.
CoRR, 2023
Quasi-Monte Carlo methods for mixture distributions and approximated distributions via piecewise linear interpolation.
CoRR, 2023
CoRR, 2023
2022
Tractability of L<sub>2</sub>-approximation and integration in weighted Hermite spaces of finite smoothness.
CoRR, 2022
Optimal periodic L<sub>2</sub>-discrepancy and diaphony bounds for higher order digital sequences.
CoRR, 2022
Tractability of approximation in the weighted Korobov space in the worst-case setting.
CoRR, 2022
2021
J. Comput. Appl. Math., 2021
J. Comput. Appl. Math., 2021
On the relation of the spectral test to isotropic discrepancy and <i>L</i><sub><i>q</i></sub>-approximation in Sobolev spaces.
J. Complex., 2021
J. Complex., 2021
Tractability of approximation in the weighted Korobov space in the worst-case setting - a complete picture.
J. Complex., 2021
2020
Numerische Mathematik, 2020
J. Complex., 2020
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals.
J. Complex., 2020
On alternative quantization for doubly weighted approximation and integration over unbounded domains.
J. Approx. Theory, 2020
On the relation of the spectral test to isotropic discrepancy and L<sub>q</sub>-approximation in Sobolev spaces.
CoRR, 2020
2019
Numer. Algorithms, 2019
Truncation in average and worst case settings for special classes of ∞-variate functions.
Math. Comput. Simul., 2019
J. Comput. Appl. Math., 2019
2018
SIAM J. Numer. Anal., 2018
Math. Comput. Simul., 2018
J. Complex., 2018
Finite Fields Their Appl., 2018
2017
J. Complex., 2017
2016
Very low truncation dimension for high dimensional integration under modest error demand.
J. Complex., 2016
Open type quasi-Monte Carlo integration based on Halton sequences in weighted Sobolev spaces.
J. Complex., 2016
Tractability of multivariate approximation defined over Hilbert spaces with exponential weights.
J. Approx. Theory, 2016
CoRR, 2016
2015
A reduced fast component-by-component construction of lattice points for integration in weighted spaces with fast decreasing weights.
J. Comput. Appl. Math., 2015
2014
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces.
Math. Comput., 2014
The Inverse of the Star-Discrepancy Problem and the Generation of Pseudo-Random Numbers.
Proceedings of the Sequences and Their Applications - SETA 2014, 2014
Proceedings of the Monte Carlo and Quasi-Monte Carlo Methods, 2014
Proceedings of the Uniform Distribution and Quasi-Monte Carlo Methods, 2014
Proceedings of the Uniform Distribution and Quasi-Monte Carlo Methods, 2014
Proceedings of the Applied Algebra and Number Theory, 2014
2013
Finite Fields Their Appl., 2013
2012
Efficient calculation of the worst-case error and (fast) component-by-component construction of higher order polynomial lattice rules.
Numer. Algorithms, 2012
Monte Carlo Methods Appl., 2012
2011
Exponential convergence and tractability of multivariate integration for Korobov spaces.
Math. Comput., 2011
2010
2009
J. Approx. Theory, 2009
2008
Am. Math. Mon., 2008
Monte Carlo Methods Appl., 2008
2007
The tent transformation can improve the convergence rate of quasi-Monte Carlo algorithms using digital nets.
Numerische Mathematik, 2007
Strong tractability of multivariate integration of arbitrary high order using digitally shifted polynomial lattice rules.
J. Complex., 2007
On the existence of higher order polynomial lattices based on a generalized figure of merit.
J. Complex., 2007
Constructions of general polynomial lattice rules based on the weighted star discrepancy.
Finite Fields Their Appl., 2007
2006
Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces.
SIAM J. Numer. Anal., 2006
On the mean square weighted <i>L<sub>2</sub></i> discrepancy of randomized digital nets in prime base.
J. Complex., 2006
2005
SIAM J. Numer. Anal., 2005
Math. Comput., 2005
Math. Comput. Simul., 2005
Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces.
J. Complex., 2005
2004
J. Complex., 2004
2003
Bounds for the weighted <i>L</i><sup>p</sup> discrepancy and tractability of integration.
J. Complex., 2003
2002
J. Complex., 2002