17 citations · 29 across the 16 of their papers we have counts for
5 papers · 1 filter
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…
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…
On a sharp estimate for Hankel operators and Putnam's inequality
Jan-Fredrik Olsen, Maria Carmen Reguera
We obtain a sharp norm estimate for Hankel operators with anti-analytic symbol for weighted Bergman spaces. For the classical Bergman space, the estimate improves the corresponding…