Chapter: Measurable Sets and Functions

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Home > Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights > Measurable Sets and Functions

Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights |

Roger Godement

Springer International Publishing

Analysis IV: Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

Measurable Sets and Functions

Chapter Info

Authors

Roger Godement

ARI Id

1664867732883_3850399

Access

Not Available Free

Pages

37-52

DOI

10.1007/978-3-319-16907-1_3

Chapter URL

https://rd.springer.com/chapter/10.1007/978-3-319-16907-1_3

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		I-XI
Front Matter		1-4
The Upper Integral of a Positive Function	Roger Godement	5-19
L p Spaces	Roger Godement	20-36
Measurable Sets and Functions	Roger Godement	37-52
Lebesgue-Fubini’s Way	Roger Godement	53-102
The Lebesgue-Nikodym Theorem	Roger Godement	103-117
Spectral Decomposition on a Hilbert Space	Roger Godement	118-172
The Commutative Fourier Transform	Roger Godement	173-203
Unitary Representations of Locally Compact Groups	Roger Godement	204-259
Front Matter		261-261
Infinite Series and Products in Number Theory	Roger Godement	261-280
The series \(\sum 1/ {\rm{cos}} \ \pi n z\; {\rm{and}}\; \sum {\rm{exp}} \left(\pi in^2z\right)\)	Roger Godement	281-297
The Dirichlet Series \(L(s; \mathcal{X})\)	Roger Godement	298-315
Elliptic Functions	Roger Godement	316-348
SL 2(ℝ) as a Locally Compact Group	Roger Godement	349-375
Modular Functions: The Classical Theory	Roger Godement	376-393
Fuchsian Groups	Roger Godement	394-440
Hecke Theory	Roger Godement	441-462
SL 2(ℝ) as a Lie Group	Roger Godement	463-509
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