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https://open.uns.ac.rs/handle/123456789/13374
Title: | Complex powers of operators | Authors: | Kostić, Marko | Issue Date: | 1-Dec-2008 | Journal: | Publications de l'Institut Mathematique | Abstract: | 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. | URI: | https://open.uns.ac.rs/handle/123456789/13374 | ISSN: | 03501302 | DOI: | 10.2298/PIM0897015K |
Appears in Collections: | FTN Publikacije/Publications |
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