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SVD and Signal Processing, III
book

SVD and Signal Processing, III

by M. Moonen, B. De Moor
March 1995
Intermediate to advanced content levelIntermediate to advanced
498 pages
23h 58m
English
Elsevier Science
Content preview from SVD and Signal Processing, III
346
M. Bertero and C. De Mol
A
It has been shown [3] that s commutes with the following differential operator
(D.~f)($)
- -[(t 2 - 1)("/2- t2)ft(t)] ! + 2(t 2 -
1)f(t) . (16)
The appropriate self-adjoint extension of this operator is obtained by requiring that the
functions in the domain of D.~ are bounded at the boundary points t = 1 and t = 3' (notice
A
that the differential equation
(D~f)(z) = # f(z)
has five regular singular points in the
complex plane, one being the point at infinity). In the limit 7 ~ 1, the operator (16)
reduces, after a change of variable, to the ...
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Publisher Resources

ISBN: 9780444821072