Th e vari a t i on al s p li ne t heo ry w h ic h orig i na t es
from th e w ell-kn own p ap er b y J. e . Hollid a y ( 1957) i s t
od a y a we ll- deve lo pe d fi eld in a p pr o x - mat i o n t he
o ry . T he ge ne ra l d efinition of s p l i nes in t he Hilb er t
s pace , - i st ence , uniquen e s s , and ch ar a c t eriz a tion
t he o re ms w ere obt ain ed a b o ut 35 ye a r s ago b y M . A t
t ei a , P . J . Laur en t , a n d P . M. An selon e , bu t in r e
cent y e a r s important n e w r esult s h a v e b e en ob t ain ed
in th e a bst ract va r i a t i o n a l s p l i ne theor y .
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