The paper deals with the inverse gravimetric problem generalizing a classical decomposition of mass distributions into a harmonic component and another component that produces a zero external field. After a review and an extension of the well-known L2 theory, mass distributions in Lp and in H(−s,2) are considered and proved to undergo an analogous decomposition. Examples will make the theory easier to grasp. Conclusions follow.
On the regular decomposition of the inverse gravimetric problem in non- L2 spaces
SANSO', FERNANDO
2014-01-01
Abstract
The paper deals with the inverse gravimetric problem generalizing a classical decomposition of mass distributions into a harmonic component and another component that produces a zero external field. After a review and an extension of the well-known L2 theory, mass distributions in Lp and in H(−s,2) are considered and proved to undergo an analogous decomposition. Examples will make the theory easier to grasp. Conclusions follow.File in questo prodotto:
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