2 papers
math.CA2013
On the Finite Dimensionality of Spaces of Absolutely Convergent Fourier Transforms
Björn G. Walther
We extend the result of K. Karlander [Math. Scand. 80 (1997)] regarding finite dimensionality of spaces of absolutely convergent Fourier transforms.
math.CA2011
Global Range Estimates for Maximal Oscillatory Integrals with Radial Testfunctions
Björn G. Walther
We consider the maximal function of oscillatory integrals and prove a global estimate for radial test functions which is almost sharp with respect to the Sobolev regularity.