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1.

図書

図書
A. D. Alexandrov ; [english translation by N.S. Dairbekov, S.S. Kutateladze and A.B. Sossinsky]
出版情報: Berlin : Springer-Verlag, c2005  xi, 539 p ; 25 cm
シリーズ名: Springer monographs in mathematics
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Introduction
Basic Concepts and Simplest Properties of Convex Polyhedra
Methods and Results
Uniqueness of Polyhedra with Prescribed Development
Existence of Polyhedra with Prescribed Development
Gluing and Flexing Polyhedra with Boundary
Conditions for Congruence of Polyhedra with Parallel Faces
Existence Theorems for Polyhedra with Prescribed Face Directions
Relationship Between the Congruence Condition for Polyhedra with Parallel Faces and Other Problems
Polyhedra with Vertices on Prescribed Rays
Infinitesimal Rigidity of Convex Polyhedra with Stationary Development
Infinitesimal Rigidity Conditions for Polyhedra with Prescribed Face Directions
Supplements
References
Subject Index
Introduction
Basic Concepts and Simplest Properties of Convex Polyhedra
Methods and Results
2.

図書

図書
Jean-Philippe Anker, Bent Orsted, editors
出版情報: Boston : Birkhäuser, c2005  x, 207 p. ; 25 cm
シリーズ名: Progress in mathematics ; v. 229
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Preface / Ji
Introduction to Symmetric Spaces and Their Compactifications / Borel/Ji
Compactifications of Symmetric and Locally Symmetric Spaces / Kobayashi
Restrictions of Unitary Representations of Real Reductive Groups
Preface / Ji
Introduction to Symmetric Spaces and Their Compactifications / Borel/Ji
Compactifications of Symmetric and Locally Symmetric Spaces / Kobayashi
3.

図書

図書
S. Ramanan
出版情報: Providence, R.I. : American Mathematical Society, c2005  xi, 316 p. ; 27 cm
シリーズ名: Graduate studies in mathematics ; v. 65
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Preface
Sheaves and Differential Manifolds: Definitions and Examples / Chapter 1:
Sheaves and Presheaves / 1:
Basic Constructions / 2:
Differential Manifolds / 3:
Lie Groups; Action on a Manifold / 4:
Exercises
Differential Operators / Chapter 2:
First Order Differential Operators
Locally Free Sheaves and Vector Bundles
Flow of a Vector Field
Theorem of Frobenius
Tensor Fields; Lie Derivative / 5:
The Exterior Derivative; de Rham Complex / 6:
Differential Operators of Higher Order / 7:
Integration on Differential Manifolds / Chapter 3:
Integration on a Manifold
Sheaf of Densities
Adjoints of Differential Operators
Cohomology of Sheaves and Applications / Chapter 4:
Injective Sheaves
Sheaf Cohomology
Cohomology through Other Resolutions
Singular and Sheaf Cohomologies
Cech and Sheaf Cohomologies
Differentiable Simplices; de Rham's Theorem
Connections on Principal and Vector Bundles; Lifting of Symbols / Chapter 5:
Connections in a Vector Bundle
The Space of All Connections on a Bundle
Principal Bundles
Connections on Principal Bundles
Curvature
Chern-Weil Theory
Holonomy Group; Ambrose-Singer Theorem
Linear Connections / Chapter 6:
Lifting of Symbols and Torsion
Manifolds with Additional Structures / Chapter 7:
Reduction of the Structure Group
Torsion Free G-Connections
Complex Manifolds
The Outer Gauge Group
Riemannian Geometry
Riemannian Curvature Tensor
Ricci, Scalar and Weyl Curvature Tensors
Clifford Structures and the Dirac Operator / 8:
Local Analysis of Elliptic Operators / Chapter 8:
Regularisation
A Characterisation of Densities
Schwartz Space of Functions and Densities
Fourier Transforms
Distributions
Theorem of Sobolev
Interior Regularity of Elliptic Solutions
Vanishing Theorems and Applications / Chapter 9:
Elliptic Operators on Differential Manifolds
Elliptic Complexes
Composition Formula
A Vanishing Theorem
Hodge Decomposition
Lefschetz Decomposition
Kodaira's Vanishing Theorem
The Imbedding Theorem
Appendix
Algebra
Topology
Analysis
Bibliography
Index
Preface
Sheaves and Differential Manifolds: Definitions and Examples / Chapter 1:
Sheaves and Presheaves / 1:
4.

図書

図書
George Green ; edited by N.M. Ferrers
出版情報: Mineola, N.Y. : Dover Publications, 2005  x, 336 p. ; 23 cm
シリーズ名: Dover phoenix editions
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5.

図書

図書
by Armen M. Jerbashian
出版情報: New York : Springer, c2005  xvi, 196 p. ; 25cm
シリーズ名: Advances in complex analysis and its applications ; v. 4
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Preface
Intro
The Liouville Operator
Blaschke Type Products
Equilibrium Relations and Factorization
Meromorphic Functions
Boundary Values
Uniform Approximations
Subharmonic Functions
Weighted Classes of Subharmonic Functions
Functions of a-Bounded Type in Spectral Theory
References
Index
Preface
Intro
The Liouville Operator
6.

図書

図書
Alicia Dickenstein, Ioannis Z. Emiris (editors)
出版情報: Berlin : Springer, c2005  xiii, 424 p. ; 24 cm
シリーズ名: Algorithms and computation in mathematics ; v. 14
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7.

図書

図書
Glen A. Hansen, Rod W. Douglass, Andrew Zardecki
出版情報: London, UK : Imperial College Press, 2005  xvi, 515 p. ; 24 cm
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8.

図書

図書
Carlos Julio Moreno
出版情報: Providence, R.I. : American Mathematical Society, c2005  xx, 291 p. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 115
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9.

図書

図書
Eric Stade
出版情報: Hoboken, N.J. : John Wiley & Sons, c2005  xxiv, 488 p. ; 25 cm
シリーズ名: Pure and applied mathematics
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Preface
Introduction
Fourier Coefficients and Fourier Series / 1:
Fourier Series and Boundary Value Problems / 2:
L2 Spaces: Optimal Contexts for Fourier Series / 3:
Sturm-Liouville Problems / 4:
A Splat and a Spike / 5:
Fourier Transforms and Fourier Integrals / 6:
Special Topics and Applications / 7:
Local Frequency Analysis and Wavelets / 8:
Appendix
References
Index
Preface
Introduction
Fourier Coefficients and Fourier Series / 1:
10.

図書

図書
Igor R. Shafarevich ; [translator, Miles Reid]
出版情報: Berlin : Springer, c2005  258 p. ; 24 cm
シリーズ名: Encyclopaedia of mathematical sciences / editor-in-chief, R.V. Gamkrelidze ; v. 11 . Algebra ; 1
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The Why and How of Radioactive Beams
Shell Model from a Practitioner's Point of View
Halo Nuclei
In-Flight Separation of Projectile Fragments
Measurement of Mass and Beta-Lifetime of Stored Exotic Nuclei
Traps for Rare Isotopes
Decay Studies of NZ-Nuclei
Gamma-Ray and Conversion-Electron Spectrosopy of Exotic Heavy Nuclei
Selected Topics in Reaction Studies with Exotic Beams
Weak Interaction Studies by Precision Decay Experiments in Nuclear Beta Decay
Nuclear Processes in Stellar Environments
Medical Applications of Accelerated Ions
The Why and How of Radioactive Beams
Shell Model from a Practitioner's Point of View
Halo Nuclei
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