@articleHesse_Le Gia_2022, title=L_2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data, volume=408, DOI=10.1016/j.cam.2022.114118, number=114118, journal=Journal of Computational and Applied Mathematics, publisher=Elsevier BV, author=Hesse, Kerstin and Le Gia, Quoc Thong, year=2022 

@articleHesse_Sloan_Womersley_2021, title=Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data, volume=382, DOI=10.1016/j.cam.2020.113061, number=113061, journal=Journal of Computational and Applied Mathematics, publisher=Elsevier BV, author=Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S., year=2021 

@inbookHesse_2020, place=Berlin/Boston, title=RBF-based penalized least-squares approximation of noisy scattered data on the sphere, booktitle=Multivariate Algorithms and Information-Based Complexity, publisher=De Gruyter, author=Hesse, Kerstin, editor=Hickernell, Fred J. and Kritzer, Peter, year=2020, pages=33–42 

@articleHesse_Sloan_Womersley_2017, title=Radial basis function approximation of noisy scattered data on the sphere, volume=137, DOI=10.1007/s00211-017-0886-6, number=3, journal=Numerische Mathematik, publisher=Springer Science and Business Media LLC, author=Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S., year=2017, pages=579–605 

@inproceedingsHesse_2016, title=Neugestaltung der “Höheren Mathematik A, B und C für Elektrotechniker” -- Nutzung der Lehrmaterialien durch Studierende, booktitle=Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2015: Beiträge zum gleichnamigen Symposium am 13. &; 14. November 2015 an der Universität zu Lübeck (Hochschulschriften zur Mathematik-Didaktik) , publisher=WTM-Verlag, author=Hesse, Kerstin, editor=Paravicini, Walther and Schnieder, Jörn, year=2016, pages=86–102 

@inproceedingsHesse_2015, title=Online Tests for Evaluating Learning Success, booktitle=Extended Abstract der khdm Conference 2015, 8 Seiten. (Dieser Extended Abstract ist online publiziert als khdm-Report zur khdm Conference 2015.), author=Hesse, Kerstin, year=2015 

@articleHesse_S. Womersley_2012, title=Numerical integration with polynomial exactness over a spherical cap, volume=36, journal=Advances in Computational Mathematics, author=Hesse, Kerstin and S. Womersley, Robert, year=2012, pages=451–483 

@articleHesse_2011, title=Complexity of numerical integration over spherical caps in a Sobolev space setting, volume=27, journal=Journal of Complexity, author=Hesse, Kerstin, year=2011, pages=383–403 

@inbookHesse_H. Sloan_S. Womersley_2010, title=Numerical integration on the sphere, booktitle=Handbook of Geomathematics , publisher=Springer Verlag, author=Hesse, Kerstin and H. Sloan, Ian and S. Womersley,  Robert , editor=Freeden, Willi and Nashed , Zuhair  and Sonar, Thomas, year=2010, pages=1187-1220. 

@articleHesse_2009, title=The s-energy of spherical designs on , volume=30, journal=Advances in Computational Mathematics, author=Hesse, Kerstin, year=2009, pages=37–59 

@articleHesse_Thong Le Gia_2008, title=Local radial basis function approximation on the sphere, volume=77, journal=Bulletin of the Australian Mathematical Society, author=Hesse, Kerstin and Thong Le Gia, Quoc , year=2008, pages=197–224 

@articleHesse_Leopardi_2008, title=The Coulomb energy of spherical designs on , volume=28, journal=Advances in Computational Mathematics, author=Hesse, Kerstin and Leopardi, Paul, year=2008, pages=331–354 

@articleHesse_Y. Kuo _H. Sloan_2007, title=A component-by-component approach to efficient numerical integration over products of spheres, volume=23, journal=Journal of Complexity, author=Hesse, Kerstin and Y. Kuo, Frances  and  H. Sloan, Ian, year=2007, pages=25–51 

@articleHesse_N  Mhaskar_H. Sloan_2007, title=Quadrature in Besov spaces on the Euclidean sphere, volume=23, journal=Journal of Complexity, author=Hesse, Kerstin and N  Mhaskar, Hrushikesh and H. Sloan, Ian, year=2007, pages=528–552 

@articleHesse_S. Brauchart_2007, title=Numerical integration over spheres of arbitrary dimension, volume=25, journal=Constructive Approximation, author=Hesse, Kerstin and S. Brauchart, Joann, year=2007, pages=41–71 

@articleHesse_2006, title=A lower bound for the worst-case cubature error on spheres of arbitrary dimension, volume=103, journal=Numerische Mathematik, author=Hesse, Kerstin, year=2006, pages=413–433 

@inbookHesse_H. Sloan_2006, title=Hyperinterpolation on the sphere, booktitle=Frontiers in Interpolation and Approximation (Dedicated to the Memory of Ambikeshwar Sharma), publisher=Chapman &; Hall/CRC, author=Hesse, Kerstin and H. Sloan, Ian, editor=Govil, N. K. and Mhaskar, H. N. and N. Mohapatra, Ram and Nashed , Zuhair and Szabados, J, year=2006, pages=213–248 

@articleHesse_H. Sloan_2006, title=Cubature over the sphere  in Sobolev spaces of arbitrary order, volume=141, journal=Journal of Approximation Theory, author=Hesse, Kerstin and H. Sloan, Ian, year=2006, pages=118–133 

@inbookHesse_H. Sloan_2005, series=Series in Contemporary Applied Mathematics CAM 6 , title=Optimal order integration on the sphere, booktitle=Frontiers and Prospects of Contemporary Applied Mathematics, publisher=Higher Education Press und World Scientific, author=Hesse, Kerstin and H. Sloan, Ian, editor=Li , Tatsien and Zhang, Pingwen, year=2005, pages=59–70, collection=Series in Contemporary Applied Mathematics CAM 6  

@articleHesse_H. Sloan_2005, title=Worst-case errors in a Sobolev space setting for cubature over the sphere , volume=71, journal=Bulletin of the Australian Mathematical Society, author=Hesse, Kerstin and H. Sloan, Ian, year=2005, pages=81–105