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1.

図書

図書
edited by Ngaiming Mok
出版情報: Hong Kong : Dept. of Mathematics, University of Hong Kong, c2001  415 p. ; 22 cm
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2.

図書

図書
Thomas Fiedler
出版情報: Dordrecht ; Boston : Kluwer Academic Pub., c2001  xvi, 412 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 532
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3.

図書

図書
Tadeusz Iwaniec and Gaven Martin
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 2001  xv, 552 p. ; 25 cm
シリーズ名: Oxford mathematical monographs
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4.

図書

図書
Jean-Pierre Otal ; translated by Leslie D. Kay
出版情報: Providence, R.I. : American Mathematical Society , [Paris] : Société Mathématique de France, c2001  xiv, 126 p., [1] p. of plates ; 26 cm
シリーズ名: SMF/AMS texts and monographs ; v. 7
Astérisque ; no. 235, 1996
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目次情報: 続きを見る
Teichmuller spaces and Kleinian groups
Real trees and degenerations of hyperbolic structures
Geodesic laminations and real trees
Geodesic laminations and the Gromov topology
The double limit theorem
The hyperbolization theorem for fibered manifolds
Sullivan's theorem
Actions of surface groups on real trees
Two examples of hyperbolic manifolds that fiber over the circle
Geodesic laminations
Bibliography
Index
Teichmuller spaces and Kleinian groups
Real trees and degenerations of hyperbolic structures
Geodesic laminations and real trees
5.

図書

図書
Jie Xiao
出版情報: Berlin : Springer, c2001  viii, 112 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1767
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6.

図書

図書
Markus J. Pflaum
出版情報: Berlin ; Tokyo : Springer, c2001  viii, 230 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1768
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目次情報: 続きを見る
Introduction
Notation
Stratified Spaces and Functional Structures / 1:
Decomposed spaces / 1.1:
Stratifications / 1.2:
Smooth Structures / 1.3:
Local Triviality and the Whitney conditions / 1.4:
The sheaf of Whitney functions / 1.5:
Rectifiable curves and regularity / 1.6:
Extension theory for Whitney functions on regular spaces / 1.7:
Differential Geometric Objects on Singular Spaces / 2:
Stratified tangent bundles and Whitney's condition (A) / 2.1:
Derivations and vector fields / 2.2:
Differential forms and stratified cotangent bundle / 2.3:
Metrics and length space structures / 2.4:
Differential Operators / 2.5:
Poisson structures / 2.6:
Control Theory / 3:
Tubular neighborhoods / 3.1:
Cut point distance and maximal tubular neighborhoods / 3.2:
Curvature moderate submanifolds / 3.3:
Geometric implications of the Whitney conditions / 3.4:
Existence and uniqueness theorems / 3.5:
Tubes and control data / 3.6:
Controlled vector fields and integrability / 3.7:
Extension theorems on controlled spaces / 3.8:
Thom's first isotopy lemma / 3.9:
Cone spaces / 3.10:
Orbit Spaces / 4:
Differentiable <$>\cal {G}<$>-Manifolds / 4.1:
Proper Group Actions / 4.2:
Stratification of the Orbit Space / 4.3:
Functional Structure / 4.4:
DeRham-Cohomology / 5:
The deRham complex on Singular Spaces / 5.1:
DeRham cohomology on <$>\cal {C}^\infty<$>-cone Spaces / 5.2:
DeRham theorems on orbit spaces / 5.3:
DeRham cohomology of Whitney functions / 5.4:
Homology of Algebras of Smooth Functions / 6:
Topological algebras and their modules / 6.1:
Homological algebra for topological modules / 6.2:
Continuous Hochschild homology / 6.3:
Hochschild homology of algebras of smooth functions / 6.4:
Supplements from linear algebra and functional analysis / A:
The vector space distance / A.1:
Polar decomposition / A.2:
Topological tensor products / A.3:
Kahler diflferentials / B:
The space of Kähler differentials / B.1:
Topological version / B.2:
Application to locally ringed Spaces / B.3:
Jets, Whitney functions and a few <$>\cal {C}^\infty<$>-mappings / C:
Fréchet topologies for <$>\cal {C}^\infty<$>-functions / C.1:
Jets / C.2:
Whitney functions / C.3:
Smoothing of the angle / C.4:
Introduction
Notation
Stratified Spaces and Functional Structures / 1:
7.

図書

図書
by Wilfried Hazod and Eberhard Siebert
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  xvii, 612 p. ; 25 cm
シリーズ名: Mathematics and its applications ; vol. 531
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目次情報: 続きを見る
Preface
Introduction
Probabilities on vector spaces / I:
Preparations: Linear operators on finite-dimensional vector spaces / 1.1:
Notations (in particular for Chapter I)
Discrete one-parameter groups of operators / II:
Continuous one-parameter groups of operators / III:
Linear groups / IV:
Full probability measures and convergence of types / 1.2:
Operator-semistable laws and operator-stable laws / 1.3:
Definition and Levy-Khinchin representation
Annexe: More on infinitely divisible laws
Levy measures of operator- (semi-) stable laws / 1.4:
Levy measures of operator-semistable laws
Levy measures of operator-stable laws
Algebraic characterization of operator- (semi-) stability / 1.5:
The structure of Lin ([mu])
Subordination and (semi-) stability
A randomized characterization of operator-stability
Operator- (semi-) stable laws as limit distributions / 1.6:
Domains of operator- (semi-) attraction
Annexe: More on limits of infinitely divisible laws
More on domains of operator semi-attraction
Properties of operator- (semi-) stable laws / 1.7:
Exponents of operator-stable laws / 1.8:
Elliptical symmetry and large symmetry groups / 1.9:
Elliptically symmetric operator- (semi-) stable laws
Large symmetry groups
Domains of normal operator attraction / 1.10:
Stable laws
Remarks on operator-semistable laws
Moments and domains of attraction
The existence of commuting normalizations / 1.11:
More on the structure of the decomposability group Lin([mu]) / 1.12:
Semistability and strict semistability
Jordan decomposition and spectrum of normalizing operators
Marginal distributions of operator (semi-) stable laws
More on convergence of types theorems / 1.13:
Types and transformation groups
Applications of the convergence of types theorem
Finite-dimensional vector spaces
A method to construct full measures, given B
Some examples / V:
Stochastic compactness and regular variation properties / VI:
Probabilities with idempotent type. [Gamma]-stable and completely stable measures / 1.14:
Examples and counterexamples / 1.15:
Operator-stable laws on V = R[superscript 2] and R[superscript 3]
Subordination of stable laws
Probabilities with discrete symmetry group on V = R[superscript 2]
Marginal distributions of operator stable laws
Convergence of types and idempotent types
Limit laws and domains of attraction
Commuting normalizations / VII:
References and comments for Chapter I / 1.16:
Probabilities on simply connected nilpotent Lie groups
Probabilities on locally compact groups: Some fundamental theorems / 2.0:
Continuous convolution semigroups and the structure of generating functionals
Convergence of continuous convolution semigroups
Discrete convolution semigroups
Embedding theorems
Annexe: Supports of convolution semigroups
Discrete and continuous convolution semigroups: The translation procedure / 2.1:
Automorphisms and contractible Lie groups. Some basic facts
Some examples of contractible Lie groups
Convergence of types and full measures / 2.2:
Simply connected nilpotent Lie groups
Some generalizations
Semistable and stable continuous convolution semigroups on simply connected nilpotent Lie groups / 2.3:
Levy measures of stable and semistable laws / 2.4:
Levy measures of semistable laws
Levy measures of stable laws
Algebraic characterization of (semi-) stability / 2.5:
The structure of Lin([mu])
The structure of Inv([mu]), resp. Inv(A)
Subordination and semistability
(Semi-) stable laws as limit distributions / 2.6:
Limit theorems and uniqueness of embedding for semistable laws
Domains of (semi-) attraction
Properties of (semi-) stable laws / 2.7:
Absolute continuity and purity laws
Gaussian and Bochner stable measures
Holomorphic convolution semigroups
Moments of (semi-) stable laws
Exponents of stable laws / 2.8:
Elliptical symmetry and large invariance groups / 2.9:
Domains of normal attraction / 2.10:
Stable and semistable laws
Probabilities with idempotent type: [Gamma]-stable and completely stable measures / 2.11:
Idempotent (infinitesimal) [Gamma]-types and [Gamma]-stable laws
Complete stability
Marginals and complete stability
Intrinsic definitions of semistability
Domains of partial attraction and random limit theorems on groups and vector spaces / 2.12:
The existence of universal laws (Doeblin laws)
Stochastic compactness
Random limit theorems: Independent random times
Geometric (semi-) stability / 2.13:
Geometric convolutions
Properties of geometric and exponential distributions
Characterization of geometric convolutions and exponential mixtures
Geometric semistability
Geometric domains of attraction
Illustrations and examples for vector spaces G = V
More arithmetic properties of geometric convolutions
Remarks on self-decomposable laws on vector spaces and on groups / 2.14:
The decomposability semigroup D([mu])
Self-decomposability
Cocycle equations, background driving processes and generalized Ornstein-Uhlenbeck processes
Stable hemigroups and self-similar processes
Space-time processes
Processes on G and on V
Background driving processes with logarithmic moments
Full self-decomposable distributions and limit laws / VIII:
Generalizations and examples / IX:
More limit theorems on G and V: Mixing properties and dependent random times / 2.15:
A theorem of H. Cramer
Limit theorems for mixing arrays of random variables
Random limit theorems in the domain of attraction of (semi-) stable laws: Dependent random times
References and comments for Chapter II / 2.16:
(Semi-) stability and limit theorems on general locally compact groups
Contractive automorphisms on locally compact groups / 3.1:
Contractive automorphisms and contractible groups
Totally disconnected contractible groups
The structure theorem for contractible groups
Contractive one-parameter automorphism groups
Some more structure theorems for discrete automorphism groups
Automorphisms contracting modulo a compact subgroup K / 3.2:
Contraction mod K
The structure theorem: C[subscript K]([tau]) = C([tau])[middle dot]K for discrete automorphism groups acting on a Lie group
Borel cross-sections for the action of C([tau]) on C[subscript K]([tau]) (discrete automorphism groups)
Continuous automorphism groups
The structure theorem: C[subscript K](T) = C(T) [times sign, right closed] K for continuous automorphism groups
The structure of C[subscript K]([tau]) for p-adic Lie groups
Examples, counterexamples and some more structure theory / 3.3:
Contractible and K-contractible Lie groups
Automorphisms of compact groups
Infinite-dimensional tori and solenoidal groups
Retopologization of C([tau]): Intrinsic topologies of contractible groups
(Semi-) stable convolution semigroups with trivial idempotents / 3.4:
General definitions of strictly (semi-) stable convolution semigroups
(Semi-) stable continuous convolution semigroups with trivial idempotents
Some examples and further remarks
(Semi-) stable convolution semigroups with nontrivial idempotents / 3.5:
Semistable convolution semigroups on Lie groups with nontrivial idempotents
Stable convolution semigroups with nontrivial idempotents
Semistable submonogeneous semigroups on Lie groups
Semistable convolution semigroups with nontrivial idempotents on p-adic Lie groups
More on probabilities on contractible groups / 3.6:
Domains of partial attraction on contractible groups
The existence of Doeblin laws on contractible groups
A translation procedure for contractible locally compact groups
Point processes on groups and continuous convolution semigroups
Limit laws and convergence of types theorems. A survey / 3.7:
Limits of discrete convolution semigroups with nontrivial idempotents
Convergence of types theorems
Applications to semistability
Limit laws on compact extensions of contractible groups N [times sign, right closed] K
References and comments for Chapter III / 3.8:
Epilogue
Bibliography
List of Symbols
Index
Preface
Introduction
Probabilities on vector spaces / I:
8.

図書

図書
A.M. Vinogradov ; [translated from the original Russian manuscript by Joseph Krasilʹshchik]
出版情報: Providence, R.I. : American Mathematical Society, c2001  xv, 247 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 204
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9.

図書

図書
edited by Eiichi Bannai ... [et al.]
出版情報: Tokyo : Mathematical Society of Japan, c2001  474 p. ; 24 cm
シリーズ名: Advanced studies in pure mathematics ; 32
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10.

図書

図書
Bruce C. Berndt, Robert A. Rankin, editors
出版情報: [Providence, R.I.] : American Mathematical Society , [London] : London Mathematical Society, c2001  xvi, 347 p. ; 26 cm
シリーズ名: History of mathematics ; v. 22
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