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(Paperback)

(Paperback)

Euler systems are special collections of cohomology classes attached to p-adic Galois representations. This book presents a development of the theory of Euler systems. It reviews and develops the necessary facts from Galois cohomology and then introduces Euler systems, states the main theorems, and develops examples and applications.

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The description for this book, Existence Theorems in Partial Differential Equations. (AM-23), will be forthcoming.

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Deals with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. This book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G).

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Combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. This book provides introduction to linear algebra, a branch of mathematics that studies vectors and vector spaces.

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Applies model theoretic methods to the study of certain finite permutation groups, the automorphism groups of structures for a fixed finite language with a bounded number of orbits on 4-tuples. This book treats the general case by developing analogs of the model theoretic methods of geometric stability theory.

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In classical dynamics the action of a one-parameter group-time- on the phase space is one of the principal objects of study. Ergodic theory concerns itself with the case when the phase space is a measure spaces. The purpose of this chapter is to give an outline of the basic theorems in the theory of solvmanifolds.

(Paperback)

(Paperback)

The description for this book, Fourier Transforms. (AM-19), will be forthcoming.

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Focuses on the difficult question of existence of Frchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. This book provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions.

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This book considers problems arising the theory of differential equations. This book is not only intended for mathematicians specializing in the theory of differential equations or in probability theory but also for specialists in asymptotic methods and functional analysis.

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Geometry of orthogonal spaces.

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Measures and integrals

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(Hardback)

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(Paperback)

It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S3. This work describes a function F of framed links in S3 and it is proven that F consistently defines an invariant, lamda (l), of closed oriented 3-manifolds. l is then expressed in terms of previously known invariants of 3-manifolds.

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Presents an overview of the developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations. This book emphasises on so-called 'non-perturbative' methods and the role of subharmonic function theory and semi-algebraic set methods.

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Provides a coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This book features: a treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation.

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Presents a study of harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. This book covers the material which displays an interplay involving geometry, analysis and topology. It includes a basic presentation of 1-cohomogeneous equivariant differential geometry and of the theory of harmonic maps between spheres.

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Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. This title presents the foundations of this theory.

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Helps reader find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. This book provides definitions of the hypo-analytic wave-front set and of the Fourier-Bros-Iagolnitzer transform of a hyperfunction.