Functions of Variable Bandwidth
given at strobl07 (17.06.07)
In this presentation we construct a moderate weight in connection to a variable bandwidth strip in the time-frequency domain. The weight of positions within the strip is 1 and grows polynomially beyond the strip. We investigate the corresponding weighted function space, and show that it is a dilation-invariant modulation space. One can perform function reconstruction within the theory of coorbit spaces. The corresponding norm is - up to equivalence - independent of stretching or shrinking of the bandwidth.