Sökning: "Sten Kaijser"

Visar resultat 1 - 5 av 10 avhandlingar innehållade orden Sten Kaijser.

1. 1. The Symmetric Meixner-Pollaczek polynomials

Sammanfattning : The Symmetric Meixner-Pollaczek polynomials are considered. We denote these polynomials in this thesis by pn(λ)(x) instead of the standard notation pn(λ) (x/2, π/2), where λ > 0. LÄS MER

2. 2. Minkowski Measure of Asymmetry and Minkowski Distance for Convex Bodies

Sammanfattning : This thesis consists of four papers about the Minkowski measure of asymmetry and the Minkowski (or Banach-Mazur) distance for convex bodies.We relate these two quantities by giving estimates for the Minkowski distance in terms of the Minkowski measure. LÄS MER

3. 3. Skolans matematik : En kritisk analys av den svenska skolmatematikens förhistoria, uppkomst och utveckling

Sammanfattning : I argue that common beliefs regarding mathematics originate in the practices of elementary mathematics instruction rather than in science. While learning how to solve mathematical problems in school, we come to believe that mathematics has a set of properties in itself, for instance that it is useful in everyday life, even though this is not necessarily so. LÄS MER

4. 4. Orthogonal Polynomials, Operators and Commutation Relations

Sammanfattning : Orthogonal polynomials, operators and commutation relations appear in many areas of mathematics, physics and engineering where they play a vital role. For instance, orthogonal functions in general are central to the development of Fourier series and wavelets which are essential to signal processing. LÄS MER

5. 5. Reordering in Noncommutative Algebras, Orthogonal Polynomials and Operators

Sammanfattning : The main object studied in this thesis is the multi-parametric family of unital associative complex algebras generated by the element $Q$ and the finite or infinite set $\{S_j\}_{j\in J}$ of elements satisfying the commutation relations $S_jQ=\sigma_j(Q)S_j$, where $\sigma_j$ is a polynomial for all $j\in J$. A concrete representation is given by the operators $Q_x(f)(x)=xf(x)$ and $\alpha_{\sigma_j}(f)(x)=f(\sigma_j(x))$ acting on polynomials or other suitable functions. LÄS MER