Complex Powers of Operators
نویسندگان
چکیده
We define the complex powers of a densely defined operator A whose resolvent exists in a suitable region of the complex plane. Generally, this region is strictly contained in an angle and there exists α ∈ [0,∞) such that the resolvent of A is bounded by O((1 + |λ|)α) there. We prove that for some particular choices of a fractional number b, the negative of the fractional power (−A)b is the c.i.g. of an analytic semigroup of growth order r > 0.
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تاریخ انتشار 2008