An Eigenfunction Approach to Conversion of the Laplace Transform of Point Masses on the Real Line to the Fourier Domain

Michael McKenna, Hrushikesh N. Mhaskar, Richard G. Spencer

Motivated by applications in magnetic resonance relaxometry, we consider the following problem: Given samples of a function $t\mapsto {\sum }_{k=1}^K{A}_k\exp (-t{\lambda }_k)$, where $K\ge 2$ i…