Home Mathematics CHAPTER 12. Fourier Universality
Chapter
Licensed
Unlicensed Requires Authentication

CHAPTER 12. Fourier Universality

  • Nicholas M. Katz
View more publications by Princeton University Press
To Publisher Page
Exponential Sums and Differential Equations. (AM-124), Volume 124
This chapter is in the book Exponential Sums and Differential Equations. (AM-124), Volume 124
© 2016 Princeton University Press, Princeton

© 2016 Princeton University Press, Princeton

Chapters in this book

  1. Frontmatter i
  2. Contents v
  3. Introduction 1
  4. CHAPTER 1. Results from Representation Theory 9
  5. CHAPTER 2. D.E.'s and D-modules 31
  6. CHAPTER 3. The Generalized Hypergeometric Equation 92
  7. CHAPTER 4. Detailed Analysis of the Exceptional Cases 122
  8. CHAPTER 5. Convolution of D-modules 161
  9. CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics 178
  10. CHAPTER 7. The ℓ- adic Theory 193
  11. CHAPTER 8. ℓ-adic Hypergeometrics 251
  12. CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics 320
  13. CHAPTER 10. ℓ -adic Exceptional Cases 332
  14. CHAPTER 11. Reductive Tannakian Categories 352
  15. CHAPTER 12. Fourier Universality 363
  16. CHAPTER 13. Stratifications and Convolution 384
  17. CHAPTER 14. The Fundamental Comparison Theorems 402
  18. References 425
https://doi.org/10.1515/9781400882434-013

Chapters in this book

  1. Frontmatter i
  2. Contents v
  3. Introduction 1
  4. CHAPTER 1. Results from Representation Theory 9
  5. CHAPTER 2. D.E.'s and D-modules 31
  6. CHAPTER 3. The Generalized Hypergeometric Equation 92
  7. CHAPTER 4. Detailed Analysis of the Exceptional Cases 122
  8. CHAPTER 5. Convolution of D-modules 161
  9. CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics 178
  10. CHAPTER 7. The ℓ- adic Theory 193
  11. CHAPTER 8. ℓ-adic Hypergeometrics 251
  12. CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics 320
  13. CHAPTER 10. ℓ -adic Exceptional Cases 332
  14. CHAPTER 11. Reductive Tannakian Categories 352
  15. CHAPTER 12. Fourier Universality 363
  16. CHAPTER 13. Stratifications and Convolution 384
  17. CHAPTER 14. The Fundamental Comparison Theorems 402
  18. References 425
Sign up now to receive a 20% welcome discount
Institutional Access
How does access work?
Have an idea on how to improve our website?
Please write us.
© 2025 De Gruyter Brill
Downloaded on 1.10.2025 from https://www.degruyterbrill.com/document/doi/10.1515/9781400882434-013/html
Scroll to top button