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Book
Differential Operators on Manifolds : Lectures given at a Summer School of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Varenna (Como), Italy, August 24 - September 2, 1975
Authors: --- --- --- ---
ISBN: 3642111130 3642111149 Year: 2011 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Lectures: M.F. Atiyah: Classical groups and classical differential operators on manifolds.- R. Bott: Some aspects of invariant theory in differential geometry.- E.M. Stein: Singular integral operators and nilpotent groups.- Seminars: P. Malliavin: Diffusion et géométrie différentielle globale.- S. Helgason: Solvability of invariant differential operators on homonogeneous manifolds.


Book
Transmutation theory and applications
Authors: --- --- ---
ISBN: 1281788384 9786611788384 008087228X 044487805X 9780444878052 9780080872285 Year: 1985 Publisher: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,

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Transmutation Theory and Applications

Spectral theory of linear differential operators and comparison algebras
Authors: ---
ISBN: 1139886010 1107366011 1107370744 1107361109 1107369258 1299403816 1107363551 0511662831 9781107361102 9780511662836 9781107366015 9780521284431 0521284430 9781139886017 9781107370746 9781107369252 9781299403819 9781107363557 Year: 1987 Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press,

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The main aim of this book is to introduce the reader to the concept of comparison algebra, defined as a type of C*-algebra of singular integral operators.

Microlocal analysis for differential operators : an introduction
Authors: --- ---
ISBN: 1139884921 1107100518 1107102995 1107088569 1107094747 1107091497 0511721447 9781107088566 9780511721441 0521449863 9780521449861 9781139884921 9781107100510 9781107102996 9781107094741 9781107091498 Year: 1994 Volume: 196 Publisher: Cambridge ; New York, N.Y. : Cambridge University Press,

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Book
Rings of differential operators
Author:
Year: 1979 Volume: v. 21 Publisher: Amsterdam : New York : North-Holland Pub. Co. ; sole distributors for the U.S.A. and Canada, American Elsevier Pub. Co.,

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Analysis on real and complex manifolds
Authors: --- ---
ISBN: 128276991X 9786612769917 0080960227 0444877762 9780080960227 9781282769915 9780444877765 Year: 1985 Publisher: Amsterdam ; New York : New York, N.Y. : North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,

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Abstract

Chapter 1 presents theorems on differentiable functions often used in differential topology, such as the implicit function theorem, Sard's theorem and Whitney's approximation theorem.The next chapter is an introduction to real and complex manifolds. It contains an exposition of the theorem of Frobenius, the lemmata of Poincaré and Grothendieck with applications of Grothendieck's lemma to complex analysis, the imbedding theorem of Whitney and Thom's transversality theorem. Chapter 3 includes characterizations of linear differentiable operators, due to Peetre and Hormander. The ineq


Book
Differential operators on spaces of variable integrability
Authors: --- --- --- --- --- et al.
ISBN: 9814596329 9789814596329 9789814596312 9814596310 Year: 2014 Publisher: Singapore : World Scientific Publishing Co. Pte. Ltd.,

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The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of their intrinsic mathematical importance as natural, interesting examples of non-rearrangement-invariant function spaces but also in view of their applications, which include the mathematical modeling of electrorheological fluids and image restoration. The main focus of this book is to provide a solid fu


Book
Iterations of differential operators
Authors: ---
ISBN: 2881247075 Year: 1989 Publisher: New York (N.Y.): Gordon and Breach

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The bispectral problem
Authors: --- ---
ISBN: 0821809490 9780821809495 Year: 1998 Volume: 14 Publisher: Providence, RI American Mathematical Society

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Book
Semi-bounded Differential Operators, Contractive Semigroups and Beyond
Authors: --- --- --- --- --- et al.
ISBN: 331904558X 3319045571 Year: 2014 Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser,

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This book examines the conditions for the semi-boundedness of partial differential operators, which are interpreted in different ways. For example, today we know a great deal about L2-semibounded differential and pseudodifferential operators, although their complete characterization in analytic terms still poses difficulties, even for fairly simple operators. In contrast, until recently almost nothing was known about analytic characterizations of semi-boundedness for differential operators in other Hilbert function spaces and in Banach function spaces. This book works to address that gap. As such, various types of semi-boundedness are considered and a number of relevant conditions which are either necessary and sufficient or best possible in a certain sense are presented. The majority of the results reported on are the authors’ own contributions.

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