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電子ブック
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1. Separably Injective Banach Spaces. 1st ed. 2016
by Antonio Avilés, Félix Cabello Sánchez, Jesús M.F. Castillo, Manuel González, Yolanda Moreno
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2132
オンライン: http://dx.doi.org/10.1007/978-3-319-14741-3
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A primer on injective Banach spaces
Separably injective Banach spaces
Spaces of universal disposition
Ultraproducts of type L∞
ℵ-injectivity
Other weaker forms of injectivity
Open Problems
A primer on injective Banach spaces
Separably injective Banach spaces
Spaces of universal disposition
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2. The Callias Index Formula Revisited
by Fritz Gesztesy, Marcus Waurick
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2157
オンライン: http://dx.doi.org/10.1007/978-3-319-29977-8
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Introduction.-Notational Conventions
Functional Analytic
On Schatten–von Neumann Classes and Trace Class
Pointwise Estimates for Integral Kernels
Dirac-Type
Derivation of the Trace Formula – The Trace Class Result
Derivation of the Trace Formula – Diagonal Estimates
The Case n = 3
The Index Theorem and Some Consequences
Perturbation Theory for the Helmholtz Equation
The Proof of Theorem 10.2: The Smooth Case
The Proof of Theorem 10.2: The General Case
A Particular Class of Non-Fredholm Operators L and Their Generalized Witten Index
A: Construction of the Euclidean Dirac Algebra
B: A Counterexample to [22, Lemma 5]
References
Index
Introduction.-Notational Conventions
Functional Analytic
On Schatten–von Neumann Classes and Trace Class
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3. Extensions of Positive Definite Functions : Applications and Their Harmonic Analysis
by Palle Jorgensen, Steen Pedersen, Feng Tian
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2160
オンライン: http://dx.doi.org/10.1007/978-3-319-39780-1
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4. Pseudodifferential Equations Over Non-Archimedean Spaces
by W. A. Zúñiga-Galindo
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2174
オンライン: http://dx.doi.org/10.1007/978-3-319-46738-2
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p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
Parabolic-Type Equations on Adeles
Fundamental Solutions and Schrödinger Equations
Pseudodifferential Equations of Klein-Gordon Type
p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
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5. Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
by David Alonso-Gutiérrez, Jesús Bastero
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2131
オンライン: http://dx.doi.org/10.1007/978-3-319-13263-1
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The Conjectures
Main Examples
Relating the Conjectures
Appendix
Index
The Conjectures
Main Examples
Relating the Conjectures
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6. Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces : A Sharp Theory
by Ryan Alvarado, Marius Mitrea
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2142
オンライン: http://dx.doi.org/10.1007/978-3-319-18132-5
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Introduction. - Geometry of Quasi-Metric Spaces
Analysis on Spaces of Homogeneous Type
Maximal Theory of Hardy Spaces
Atomic Theory of Hardy Spaces
Molecular and Ionic Theory of Hardy Spaces
Further Results
Boundedness of Linear Operators Defined on Hp(X)
Besov and Triebel-Lizorkin Spaces on Ahlfors-Regular Quasi-Metric Spaces
Introduction. - Geometry of Quasi-Metric Spaces
Analysis on Spaces of Homogeneous Type
Maximal Theory of Hardy Spaces
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7. Quantum Quadratic Operators and Processes. 1st ed. 2015
by Farrukh Mukhamedov, Nasir Ganikhodjaev
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2133
オンライン: http://dx.doi.org/10.1007/978-3-319-22837-2
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Introduction
Quadratic Stochastic Operators
Quadratic Processes
Analytic methods in the theory of quadratic stochastic processes
Quantum quadratic operators
Quantum quadratic operators on M2(C)
Infinite-dimensional quadratic operators
Quantum quadratic stochastic processes
Introduction
Quadratic Stochastic Operators
Quadratic Processes
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8. Multiplication Operators on the Bergman Space
by Kunyu Guo, Hansong Huang
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2145
オンライン: http://dx.doi.org/10.1007/978-3-662-46845-6
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Introduction
Some preliminaries
Cowen-Thomson's theorem
Reducing subspaces associated eith finite Blaschke products
Reducing subspaces associated with thin Blaschke products
Covering maps and von Neumann algebras
Operator-theoretic aspect on von Neumann algebras
Similarity and unitary equivalence
Introduction
Some preliminaries
Cowen-Thomson's theorem
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9. Local Minimization, Variational Evolution and Γ-Convergence
by Andrea Braides
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2094
オンライン: http://dx.doi.org/10.1007/978-3-319-01982-6
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Introduction
Global minimization
Parameterized motion driven by global minimization
Local minimization as a selection criterion
Convergence of local minimizers
Small-scale stability
Minimizing movements
Minimizing movements along a sequence of functionals
Geometric minimizing movements
Different time scales
Stability theorems
Index
Introduction
Global minimization
Parameterized motion driven by global minimization
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10. Lectures on Mappings of Finite Distortion
by Stanislav Hencl, Pekka Koskela
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2096
オンライン: http://dx.doi.org/10.1007/978-3-319-03173-6
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Introduction
Continuity
Openness and discreteness
Images and preimages of null sets
Homeomorphisms of finite distortion
Integrability of Jf and 1/Jf
Final comments
Appendix
References
Introduction
Continuity
Openness and discreteness