17 citations · 29 across the 16 of their papers we have counts for
21 papers
A sharp discrete Sobolev inequality and left inverses of higher order differences
Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1
For integers , we determine the best constants in the inequalities where i…
Diverse yet consistent: How mathematicians position computational thinking across research and teaching
Jan-Fredrik Olsen, Tor Ole B Odden, Elise Lockwood
Recent research in mathematics education points to an "epistemic clash" when programming and computational thinking (CT) are leveraged alongside more established forms of mathemati…
How Disciplinary Norms Influence Mathematicians' Views of Programming in Undergraduate Mathematics
Jan-Fredrik Olsen, Tor Ole B Odden
Programming is deeply embedded in contemporary mathematical practice, yet its epistemic status in university mathematics teaching remains contested. Little is known about how mathe…
A sharp higher order Sobolev embedding
Raul Hindov, Shahaf Nitzan, Jan-Fredrik Olsen +1
We obtain sharp embeddings from the Sobolev space into the space and determine the extremal functions. This improves on a previous estimate of the sha…
Existence of Uncertainty Minimizers for the Continuous Wavelet Transform
Simon Halvdansson, Jan-Fredrik Olsen, Nir Sochen +1
Continuous wavelet design is the endeavor to construct mother wavelets with desirable properties for the continuous wavelet transform (CWT). One class of methods for choosing a mot…
An operator theoretic approach to the Prime number theorem
Jan-Fredrik Olsen
In this short note, we establish an operator theoretic version of the Wiener-Ikehara tauberian theorem, and point out how this leads to a new proof of the Prime number theorem that…