Points on an Unit Sphere in $\mathbb{R}^{d+1}$, Riesz Energy, Discrepancy and Numerical Integration

Johann Brauchart

Points on an Unit Sphere in $\mathbb{R}^{d+1}$, Riesz Energy, Discrepancy and Numerical Integration

Institute of Analysis and Number Theory (5010)

Research output: Thesis › Doctoral Thesis

Original language	English
Publication status	Published - 2005

Keywords

cubature discrepancy energy
minimum Jacobi series numerical integration quadrature Hilbert space
reproducing kernel Riesz energy Riesz potential sphere Sobolev space sum of distances worst-case error

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

Concrete Mathematics: Fractals, Digital Functions, and Point Distributions (START Y96-MAT)
Brauchart, J., Teufl, E., Krön, B., Grabner, P., Schweitzer, G., Metz, V., Safer, T., Lamberger, M. & Steinsky, B.
1/10/98 → 30/09/05
Project: Research project

Cite this

@phdthesis{36a2fdc1dad1478eb837a7cda650c176,

title = "Points on an Unit Sphere in $\mathbb{R}^{d+1}$, Riesz Energy, Discrepancy and Numerical Integration",

keywords = "cubature discrepancy energy , minimum Jacobi series numerical integration quadrature Hilbert space, reproducing kernel Riesz energy Riesz potential sphere Sobolev space sum of distances worst-case error",

author = "Johann Brauchart",

year = "2005",

language = "English",

}

TY - THES

T1 - Points on an Unit Sphere in $\mathbb{R}^{d+1}$, Riesz Energy, Discrepancy and Numerical Integration

AU - Brauchart, Johann

PY - 2005

Y1 - 2005

KW - cubature discrepancy energy

KW - minimum Jacobi series numerical integration quadrature Hilbert space

KW - reproducing kernel Riesz energy Riesz potential sphere Sobolev space sum of distances worst-case error

M3 - Doctoral Thesis

ER -

Points on an Unit Sphere in $\mathbb{R}^{d+1}$, Riesz Energy, Discrepancy and Numerical Integration

Keywords

Fields of Expertise

Treatment code (Nähere Zuordnung)

Projects

Concrete Mathematics: Fractals, Digital Functions, and Point Distributions (START Y96-MAT)

Cite this