E-Book, Englisch, Band 124, 448 Seiten
Katz Exponential Sums and Differential Equations. (AM-124), Volume 124
1. Auflage 2016
ISBN: 978-1-4008-8243-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, Band 124, 448 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8243-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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Frontmatter, pg. i
Contents, pg. v
Introduction, pg. 1
CHAPTER 1. Results from Representation Theory, pg. 9
CHAPTER 2. D.E.'s and D-modules, pg. 31
CHAPTER 3. The Generalized Hypergeometric Equation, pg. 92
CHAPTER 4. Detailed Analysis of the Exceptional Cases, pg. 122
CHAPTER 5. Convolution of D-modules, pg. 161
CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics, pg. 178
CHAPTER 7. The l- adic Theory, pg. 193
CHAPTER 8. l-adic Hypergeometrics, pg. 251
CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics, pg. 320
CHAPTER 10. l -adic Exceptional Cases, pg. 332
CHAPTER 11. Reductive Tannakian Categories, pg. 352
CHAPTER 12. Fourier Universality, pg. 363
CHAPTER 13. Stratifications and Convolution, pg. 384
CHAPTER 14. The Fundamental Comparison Theorems, pg. 402
References, pg. 425