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Theorems and Problems in Functional Analysis
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742
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50%
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A. A. Kirillov, A. D. Gvishiani
On this page
▸
I · Concepts from Set Theory and Topology
▸
II · Theory of Measure and Integration
▸
III · Linear Topological Spaces and Linear Operators
▸
IV · The Fourier Transform and Elements of Harmonic Analysis
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V · Spectral Theory of Operators
Chapter I
Concepts from Set Theory and Topology
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72
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51%
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Section I.1
Relations. The Axiom of Choice and Zorn's Lemma
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17
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59%
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Section I.2
Metric Spaces and Their Applications
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25
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52%
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Section I.3
Categories and Functors
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30
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47%
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Chapter II
Theory of Measure and Integration
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143
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73%
]
Section II.1
Measure Theory
[
52
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79%
]
Section II.2
Measurable Functions
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37
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81%
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Section II.3
Integration
[
54
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61%
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Chapter III
Linear Topological Spaces and Linear Operators
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287
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47%
]
Section III.1
Normed Spaces
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51
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37%
]
Section III.2
Linear Topological Spaces
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49
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37%
]
Section III.3
Linear Operators
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53
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47%
]
Section III.4
Function Spaces and Generalized Functions
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93
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56%
]
Section III.5
Hilbert Spaces
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41
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49%
]
Chapter IV
The Fourier Transform and Elements of Harmonic Analysis
[
107
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55%
]
Section IV.1
Convolutions on an Abelian Group
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35
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43%
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Section IV.2
The Fourier Transform
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72
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61%
]
Chapter V
Spectral Theory of Operators
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133
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29%
]
Section V.1
Functional Calculus
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76
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34%
]
Section V.2
Spectral Decomposition of Operators
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34
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35%
]
Section V.3
A Mathematical Model of Quantum Mechanics
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23
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0%
]