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1.

電子ブック
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1. Continuous Strong Markov Processes in Dimension One
Sigurd Assing, Wolfgang Schmidt, A. Dold, Wolfgang M. Schmidt, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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2.

電子ブック
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2. Cubic Metaplectic Forms and Theta Functions
Nikolai Proskurin, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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3.

電子ブック
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3. Differentiability of Six Operators on Nonsmooth Functions and p-Variation
Richard M. Dudley, R. Norvaisa, Rimas Norvaisa, J. Qian, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1999
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目次情報: 続きを見る
Preface
A survey on differentiability of six operators in relation to probability and statistics / Part I：
Contents of Part I
Introduction; kinds of differentiability / 1：
The two-function composition operator (F,G) &prompto; F&rbull;G / 2：
The quantile (inverse) operator / 3：
The integration operator and Young integrals / 4：
The product integral / 5：
Probability and p-vaxiation / 6：
General and C-differentiability / 7：
The chain rule and concluding remarks / 8：
Appendices
References
Product integrals, Young integrals and p-variation / Part II：
Abstract
Contents of Part II
Introduction
p-variation
Stieltjes and Young integrals
Product integrals
Indefinite product integrals
The logarithm operator
Differentiability of the composition and inverse operators for regulated and a.e. continuous functions / Part III：
Contents of Part III
Regulated functions
Almost everywhere continuous functions
The quantile operator
The composition operator for real-valued functions
The composition operator for Banach-valued functions
Appendix
Bibliographies on p-variation and φ-variation / R. M. Dudley ; R. Norvai&sbreve;a ; Jinghua QianPart IV：
Contents of Part IV
Bibliography on p-variation
Bibliography on φ-variation
Subject Index
Author Index
Preface
A survey on differentiability of six operators in relation to probability and statistics / Part I：
Contents of Part I
4.

電子ブック
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4. Flows on 2-dimensional Manifolds
Igor Nikolaev, A. Dold, F. Takens, Bernard Teissier, Evgeny Zhuzhoma
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1999
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目次情報: 続きを見る
Definitions and examples / 1：
Preliminaries / 1.1：
Basic constructions / 1.2：
The projection method / 1.2.1：
The universal covering method / 1.2.2：
The suspension method / 1.2.3：
Whitney theorem / 1.2.4：
Connected sum of flows / 1.2.5：
The branch covering method / 1.2.6：
Basic examples / 1.3：
Gradient and Morse-Smale flows / 1.3.1：
Transitive flows / 1.3.2：
Flows with Cantor type limit sets / 1.3.3：
Area preserving and Hamiltonian flows / 1.3.4：
Harmonic and geodesic vector fields / 1.3.5：
Poincare-Bendixson's theory / 2：
Existence of closed transversal / 2.1：
Absence of non-trivial recurrent trajectories on some surfaces / 2.2：
Hilmy's and Cherry's theorems on quasiminimal sets / 2.3：
Maier's theorems on quasiminimal sets / 2.4：
Gutierrez's structure theorem / 2.5：
Limit set of individual trajectory / 2.6：
List of limit and minimal sets / 2.6.1：
Results of Solntzev and Vinograd / 2.6.2：
On the existence of minimal sets / 2.6.3：
Decomposition of flows / 3：
Decomposition theorems / 3.1：
Irreducible flows on torus / 3.1.1：
Canonical neighborhood / 3.1.2：
Gardiner - Levitt's decomposition / 3.1.3：
Pants decomposition / 3.1.4：
Decomposition of area preserving and Hamiltonian flows / 3.1.5：
Center of flow / 3.2：
Blowing-down of flows / 3.3：
Regular flows / 3.4：
Singular trajectories / 3.4.1：
Cells / 3.4.2：
Application: smoothing of flows / 3.5：
Local theory / 4：
Topological normal forms / 4.1：
Analytical normal forms / 4.2：
Smooth normal forms / 4.3：
Finitely smooth normal forms / 4.4：
Degenerate critical points / 4.5：
C1 normal forms of degenerate singularities / 4.6：
Space of flows and vector fields / 5：
Structural stability / 5.1：
Peixoto's graphs. Classification of Morse-Smale flows / 5.2：
Rotation systems / 5.2.1：
Peixoto theorems / 5.2.2：
Peixoto's counterexample revisited / 5.2.3：
Lyapunov's method / 5.3：
Lyapunov functions / 5.3.1：
Lyapunov graphs / 5.3.2：
Connected components of Morse-Smale flows / 5.4：
Degrees of non-stability / 5.5：
Typical properties of non-stable flows / 5.6：
Ergodic theory / 6：
Liouville's theorem / 6.1：
Kolmogorov's theorem for flows on torus / 6.2：
Non-trivial invariant measures / 6.3：
Ergodicity / 6.4：
Mixing / 6.5：
Entropy / 6.6：
Invariants of surface flows / 7：
Topological classification of torus flows / 7.1：
Rotation numbers / 7.1.1：
Classification of minimal flows / 7.1.2：
Classification of the Denjoy flows / 7.1.3：
Classification of flows of the Cherry type / 7.1.4：
Oriented surfaces of genus ≥ 2 / 7.2：
Aranson-Grines homotopy rotation class / 7.2.1：
Homotopy rotation orbit / 7.2.2：
Equivalence of irrational flows / 7.2.3：
Properties of the homotopy rotation classes / 7.2.4：
Application of geodesic laminations / 7.3：
Transitive flows on non-orientable surfaces / 7.4：
Torus with a cross-cup / 7.4.1：
Non-orientable surfaces of genus ≥ 4 / 7.4.2：
Classification of exceptional minimal sets / 7.5：
Classification of the regular flows / 7.6：
Leontovich-Maier's theorem for sphere flows / 7.6.1：
Neumann-O'Brien's orbit complex / 7.6.2：
Bolsinov-Fomenko's classification of Hamiltonian flows / 7.6.3：
Classification of non-wandering flows / 7.7：
Elementary cells of non-wandering flows / 7.7.1：
Conley-Lyapunov-Peixoto graphs / 7.7.2：
Equivalence Problem / 7.7.3：
Realization Problem / 7.7.4：
Cayley graph of a flow / 7.8：
Finite groups and Cayley graphs / 7.8.1：
Isomorphism Problem / 7.8.2：
Homology and cohomology invariants / 7.8.3：
Asymptotic cycles / 7.9.1：
Fundamental class of A. Katok / 7.9.2：
Zorich's cycles / 7.9.3：
Rotation sets of surface flows / 7.10：
Smooth classification of flows / 7.11：
Torus and Klein bottle / 7.11.1：
Closed orientable surfaces of genus ≥ 2 / 7.11.2：
C*-algebras of surface flows / 8：
Irrational rotation algebra / 8.1：
Dimension groups / 8.1.1：
Continued fractions / 8.1.2：
Effros-Shen's Theorem / 8.1.3：
Embedding of Aα / 8.1.4：
Projections of Aα / 8.1.5：
Morita Equivalence / 8.1.6：
Artin's rotation algebra / 8.2：
Myrberg's Approximationssatz / 8.2.1：
Artin's numbers / 8.2.2：
K-theory / 8.3：
Torus with Reeb's components / 8.3.1：
Baum-Connes Conjecture / 8.3.2：
C*-algebras of Morse-Smale flows / 8.4：
Semi-local theory / 9：
Denjoy's and Schwarz's theorems / 9.1：
Cherry's problem / 9.2：
Local structure preventing quasiminimality / 9.3：
Anosov-Weil problem / 10：
Theorems of Weil and Anosov / 10.1：
Asymptotic directions / 10.1.1：
Weil's theorem and Weil's conjecture / 10.1.2：
Anosov's theorem / 10.1.3：
Proof of Weil's conjecture and Weil's theorem / 10.1.4：
Asymptotic direction of individual curves / 10.2：
Non-trivial recurrent semi-trajectories / 10.2.1：
Trajectories of analytic flows / 10.2.2：
Leaves of foliation / 10.2.3：
Curves with restriction on the geodesic curvature / 10.2.4：
Approximation of curve by trajectories of a flow / 10.3：
Limit sets of curves and trajectories at the absolute / 10.4：
Deviation of curves from the geodesies / 10.5：
The deviation property of trajectories / 10.5.1：
Deviation from the geodesic frameworks / 10.5.2：
Branched coverings / 10.5.3：
Swing of trajectories near hyperbolic lines / 10.5.4：
Examples of unbounded deviation / 10.6：
Surfaces of genus ≥ 2 / 10.6.1：
Irrational direction on torus / 10.6.2：
Rational direction on torus / 10.6.3：
Non-compact surfaces / 11：
Kaplan's classification / 11.1：
Level curves of harmonic functions / 11.2：
Markus's classification / 11.3：
Neumann's example / 11.4：
Inaba's example and Beniere-Meigniez's theorem / 11.6：
Beniere-Hector's theorem / 11.7：
Aranson-Zhuzhoma's example / 11.8：
Triptych / 12：
Geodesic frameworks revisited / 12.1：
On continuity and collapse of geodesic frameworks / 12.2：
Cr-closing lemma / 12.3：
Definitions and examples / 1：
Preliminaries / 1.1：
Basic constructions / 1.2：
5.

電子ブック
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5. An Introduction to Analysis on Wiener Space
Ali Süleyman Ustunel, A. Dold, F. Takens, Ali S. Üstünel
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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6.

電子ブック
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6. Green Functors and G-sets
Serge Bouc, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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7.

電子ブック
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7. Factorizable Sheaves and Quantum Groups
Roman Bezrukavnikov, A. Dold, Michael Finkelberg, Vadim Schechtman, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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8.

電子ブック
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8. The Blocking Technique, Weighted Mean Operators and Hardy’s Inequality
Karl-Goswin Grosse-Erdmann, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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9.

電子ブック
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9. The Boundary-Domain Integral Method for Elliptic Systems
Andreas Pomp, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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10.

電子ブック
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10. The Geometry of Ordinary Variational Equations
Olga Krupková, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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11.

電子ブック
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11. Theory of a Higher-Order Sturm-Liouville Equation
Vladimir Kozlov, V. G. MazÊ〓i︠a︡, Vladimir Maz'ya, Vladimir G. Maz'ya, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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12.

電子ブック
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12. Three-space Problems in Banach Space Theory
Jesús M. F. Castillo, Manuel González, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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13.

電子ブック
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13. Tight Polyhedral Submanifolds and Tight Triangulations
Wolfgang Kühnel, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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14.

電子ブック
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14. Tomita-Takesaki Theory in Algebras of Unbounded Operators
Atsushi Inoue, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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15.

電子ブック
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15. Topics in the Theory of Riemann Surfaces
Robert D. M. Accola, B. Eckmann, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1994
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16.

電子ブック
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16. Translation Planes
Norbert Knarr, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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17.

電子ブック
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17. Shadowing in Dynamical Systems
Sergei Yurievitch Pilyugin, A. Dold, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1999
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18.

電子ブック
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18. Smooth Ergodic Theory of Random Dynamical Systems
Pei-Dong Liu, Min Qian, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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19.

電子ブック
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19. Sobolev Gradients and Differential Equations
John W. Neuberger, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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20.

電子ブック
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20. Sums and Gaussian Vectors
Vadim Yurinsky, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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21.

電子ブック
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21. Superconvergence in Galerkin Finite Element Methods
Lars B. Wahlbin, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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22.

電子ブック
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22. Polynomial Mappings
Narkiewicz, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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23.

電子ブック
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23. Probability Theory of Classical Euclidean Optimization Problems
Joseph Yukich, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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24.

電子ブック
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24. Homogenization in Time of Singularly Perturbed Mechanical Systems
Folkmar Bornemann, A. Dold, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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25.

電子ブック
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25. Large-time Behavior of Solutions of Linear Dispersive Equations
Daniel Beach Dix, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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26.

電子ブック
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26. Lectures on Probability Theory
Biane, Pierre Bernard, Philippe Biane, A. Dold, Richard Durrett, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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27.

電子ブック
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27. Lectures on Probability Theory and Statistics
Martin T. Barlow, Martin T. Barlow, Pierre Bernard, A. Dold, David Nualart, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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28.

電子ブック
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28. Link Theory in Manifolds
Uwe Kaiser, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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29.

電子ブック
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29. Real Functions—Current Topics
Ene, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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30.

電子ブック
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30. Regularity Problem for Quasilinear Elliptic and Parabolic Systems
Aleksandr Ivanovich Koshelev, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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31.

電子ブック
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31. Projective Modules and Complete Intersections
Satya Mandal, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1997
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目次情報: 続きを見る
Preliminaries
Patching Modules and Other Preliminaries
Extended Modules over Polynomial Rings
Modules over Commutative Rings
The Theory of Matrices
Complete Intersections
The Techniques of Lindel
Bibliography
Index
Preliminaries
Patching Modules and Other Preliminaries
Extended Modules over Polynomial Rings
32.

電子ブック
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32. Materials with Memory
Hans-Dieter Alber, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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33.

電子ブック
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33. Mixed Motives and Their Realization in Derived Categories
Annette Huber, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1995
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34.

電子ブック
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34. Moduli of Supersingular Abelian Varieties
Ke-Zheng Li, Frans Oort, A. Dold, F. Takens
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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目次情報: 続きを見る
Introduction
Supersingular abelian varieties
Some prerequisites about group schemes
Flag type quotients
Main results on Sg,1 (the principally polarized case)
Prerequisites about Dieudonne modules
PFTQs of Dieudonnè modules over W
Moduli of rigid PFTQs of Dieudonnè modules
Some class numbers
Examples on Sg,1
Main results on Sg,d (the non-principally polarized case)
Proofs of the propositions on FTQs
Examples on Sg,d (d>1)
A scheme-theoretic definition of supersingularity
Appendix: Some historical remarks
References
Index
Introduction
Supersingular abelian varieties
Some prerequisites about group schemes
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