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On product integration of certain generalized operator-valued functions

✍ Scribed by Rhonda J. Hughes

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
222 KB
Volume
116
Category
Article
ISSN
0022-247X

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✦ Synopsis

A product integral solution of the abstract evolution equation u'(t) = Hi(t) u(t) is obtained in the event that H~(t) belongs to a class of generahzed operator-valued functions involving singular perturbations in the interaction representation (H1(t) = ie -imo Ve,No, where Ho is a power of ( -d )1/2 in L 2 (R"), and V is a suitable distribution).

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