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Introduction à la théorie des opérateurs linéaires non auto-adjoints dans un espace hilbertien
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Year: 1971 Publisher: Paris: Dunod,

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Introduction à la théorie des opérateurs linéaires non auto-adjoints dans un espace hilbertien
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Year: 1971 Publisher: Paris : Dunod,

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Nonselfadjoint operators and related topics
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ISBN: 3764350970 Year: 1994 Publisher: Basel Birkhäuser

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Non-self-adjoint boundary eigenvalue problems
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ISBN: 9780444514479 0444514473 9780080537733 0080537731 1281048747 9781281048745 9786611048747 Year: 2003 Publisher: Amsterdam ; Boston : Elsevier,

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This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations.In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every n-th orde

Modern aspects of linear algebra
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ISBN: 9780821808887 0821808885 Year: 1998 Publisher: Providence, R.I. : American Mathematical Society,

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Operators of class C₀ with spectra in multiply connected regions
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ISSN: 00659266 ISBN: 0821806262 Year: 1997 Publisher: Providence (R.I.): American Mathematical Society

Non-self-adjoint boundary eigenvalue problems
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ISBN: 9780444514479 0444514473 9780080537733 0080537731 1281048747 9781281048745 9786611048747 Year: 2003 Publisher: Amsterdam Boston North-Holland

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Abstract

This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations.In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every n-th orde


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Metrics on the phase space and non-selfadjoint pseudo-differential operators
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ISBN: 376438509X 9786613076281 3764385103 1283076284 Year: 2010 Publisher: Boston, Mass. : Birkhaeuser,

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This book is devoted to the study of pseudo-di?erential operators, with special emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. We have tried here to expose the most recent developments of the theory with its applications to local solvability and semi-classical estimates for non-selfadjoint operators. The?rstchapter,Basic Notions of Phase Space Analysis,isintroductoryand gives a presentation of very classical classes of pseudo-di?erential operators, along with some basic properties. As an illustration of the power of these methods, we give a proof of propagation of singularities for real-principal type operators (using aprioriestimates,andnotFourierintegraloperators),andweintroducethereader to local solvability problems. That chapter should be useful for a reader, say at the graduate level in analysis, eager to learn some basics on pseudo-di?erential operators. The second chapter, Metrics on the Phase Space begins with a review of symplectic algebra, Wigner functions, quantization formulas, metaplectic group and is intended to set the basic study of the phase space. We move forward to the more general setting of metrics on the phase space, following essentially the basic assumptions of L. H¨ ormander (Chapter 18 in the book [73]) on this topic.

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