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math-ph2008
Uniqueness Theorems for Point Source Expansions: DIDACKS V
Alan Rufty
Finite collections of point masses contained in some bounded domain produce a unique field in the exterior domain, which means that the associated basis functions (often called ``f…
physics.geo-ph2008
A closed-form energy-minimization basis for gravity field source estimation: DIDACKS IV
Alan Rufty
By building on the field energy minimization underpinnings of DIDACKS theory and by making certain natural assumptions about the general nature of the energy/density configuration…
math.FA2008
Four Properties of Reproducing Kernel Hilbert Spaces
Alan Rufty
A reproducing kernel Hilbert space (RKHS) has four well-known easily derived properties. Since these properties are usually not emphasized as a simple means of gaining insight into…