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Theory and Applications of Volterra Operators in Hilbert Space
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Translations of Mathematical Monographs
1970; 430 pp; softcover
Volume: 24
ISBN-10: 0-8218-3627-7
ISBN-13: 978-0-8218-3627-9
List Price: US$129 Member Price: US$103.20
Order Code: MMONO/24.S

An abstract Volterra operator is, roughly speaking, a compact operator in a Hilbert space whose spectrum consists of a single point $$\lambda=0$$. The theory of abstract Volterra operators, significantly developed by the authors of the book and their collaborators, represents an important part of the general theory of non-self-adjoint operators in Hilbert spaces.

The book, intended for all mathematicians interested in functional analysis and its applications, discusses the main ideas and results of the theory of abstract Volterra operators. Of particular interest to analysts and specialists in differential equations are the results about analytic models of abstract Volterra operators and applications to boundary value problems for ordinary differential equations.

Graduate students and research mathematicians interested in functional analysis and its applications.

• Selfadjoint boundary value problems for a canonical equation. Tests for the stable boundedness of the solutions of a canonical equation with a periodic $$H$$-matrix