Results 21 to 25 of about 774,895 (25)

On Inverse Spectral Problems for Second Order Integro-differential Operators [PDF]

arXiv, 2017
Inverse spectral problems are studied for the second order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.
arxiv  

Recovering First Order Integro-Differential Operators from Spectral Data [PDF]

arXiv, 2017
First order integro-differential operators on a finite interval are studied. Properties of spectral characteristic are established, and the uniqueness theorem is proved for the inverse problem of recovering operators from their spectral data.
arxiv  

Fredholm theory of the linearized ${\bar \partial}$-operator and additivity of its index [PDF]

arXiv, 2000
In this paper, we established Fredholm theory of the linearized ${{\bar \partial}}$-operator and studied the additivity of its index.
arxiv  

Scattering theory for Hamiltonians periodic in time [PDF]

Indiana J. Math. 28, 471-494 (1979), 2012
Old paper on the abstract scattering theory (ST) of periodic Hamiltonians. Updating of the references and correction of some minor non-mathematical misprints by H.C. Rosu.
arxiv  

Spectral mapping theorem and the Taylor spectrum [PDF]

arXiv
In [6] Cho and Tanahashi showe new spectral mapping theorem of the taylor spectrum for doubly commuting pairs of p-hyponormal operators and log-hyponormal operators. In this paper, we will show that same spectral mapping theorem holds for commuting n-tuples.
arxiv