Estimation of petrophysical and fluid properties using integral transforms in nuclear magnetic resonance

Apparatus and method of characterizing a subterranean formation including observing a formation using nuclear magnetic resonance measurements, calculating an answer product by computing an integral transform on the indications in measurement-domain, and using answer products to estimate a property of the formation. Apparatus and a method for characterizing a subteranean formation including collecting NMR data of a formation, calculating an answer product comprising the data, wherein the calculating comprises a formula K  ( x ) ≡ ∫ 0 ∞  k  ( t )   - t / x   t . and estimating a property of the formation using the answer product.