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Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
| Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
| Autore | Katz Nicholas M. <1943-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515/.723 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
| Soggetto non controllato |
ArtinГchreier reduced polynomial
Emanuel Kowalski EulerАoincar formula Frobenius conjugacy class Frobenius conjugacy Frobenius tori GoursatЋolchinВibet theorem Kloosterman sheaf Laurent polynomial Legendre Mellin transform Pierre Deligne Ron Evans Tannakian category Tannakian groups Zeeev Rudnick algebro-geometric autodual objects autoduality characteristic two connectedness dimensional objects duality equidistribution exponential sums fiber functor finite field Mellin transform finite field finite fields geometrical irreducibility group scheme hypergeometric sheaf interger monic polynomials isogenies lie-irreducibility lisse middle convolution middle extension sheaf monic polynomial monodromy groups noetherian connected scheme nonsplit form nontrivial additive character number theory odd characteristic odd prime orthogonal case perverse sheaves polynomials pure weight semisimple object semisimple sheaves signs split form supermorse theorem theorems |
| ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
| Record Nr. | UNINA-9910789730903321 |
Katz Nicholas M. <1943->
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| Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hopf Algebras, Quantum Groups and Yang-Baxter Equations / Florin Felix Nichita
| Hopf Algebras, Quantum Groups and Yang-Baxter Equations / Florin Felix Nichita |
| Autore | Nichita Florin Felix |
| Pubbl/distr/stampa | MDPI - Multidisciplinary Digital Publishing Institute, 2019 |
| Descrizione fisica | 1 electronic resource (238 p.) |
| Soggetto non controllato |
braided category
quasitriangular structure quantum projective space Hopf algebra quantum integrability duality six-vertex model Quantum Group Yang-Baxter equation star-triangle relation R-matrix Lie algebra bundle braid group |
| ISBN |
9783038973256
3038973254 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910346679403321 |
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Nichita Florin Felix
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| MDPI - Multidisciplinary Digital Publishing Institute, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Multivariate Approximation for solving ODE and PDE
| Multivariate Approximation for solving ODE and PDE |
| Autore | Cesarano Clemente |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 |
| Descrizione fisica | 1 online resource (202 p.) |
| Soggetto topico |
Mathematics and Science
Research and information: general |
| Soggetto non controllato |
(G,αf)-bonvexity/(G,αf)-pseudobonvexity
(G,αf)-invexity/(G,αf)-pseudoinvexity asymmetric iterative schemes Bernstein polynomials bivariate function blending difference Boolean sum continued fraction delay differential equations divided difference domain decomposition duality efficient solutions equidistant nodes even-order differential equations fourth-order generalized fractional Taylor's formulae group explicit Hadamard transform Hilbert transform hypersingular integral inverse difference iterated generalized fractional derivatives iteration methods Iyengar inequality least-squares multiple roots neutral delay neutral differential equations non-differentiable nondifferentiable nonlinear equations nonoscillatory solutions oblique decomposition one-point methods optimal convergence order of convergence oscillation oscillatory solutions parallel computation parameter estimation physical modelling poisson equation riccati transformation right and left generalized fractional derivatives second-order simultaneous approximation strictly pseudo (V,α,ρ,d)-type-I support function symmetric duality Thiele-Newton's expansion unified dual Viscovatov-like algorithm |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557396603321 |
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Cesarano Clemente
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2020 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Recent Developments of Function Spaces and Their Applications I
| Recent Developments of Function Spaces and Their Applications I |
| Autore | Yang Dachun |
| Pubbl/distr/stampa | Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 |
| Descrizione fisica | 1 online resource (408 p.) |
| Soggetto topico |
Mathematics & science
Research & information: general |
| Soggetto non controllato |
(localized) John-Nirenberg-Campanato space
(mixed-norm) Hardy space anisotropic log-potential anisotropy annulus body besov space bilinear estimate block spaces BMO Calderón operator Calderón-Zygmund operator capacity commutator commutators compact manifolds congruent cube continuous ellipsoid cover convexification cube differential operators Dirichlet problem dual log-mixed volume duality Euclidean space expansive matrix extrapolation fractional Laplacian generalized smoothness Hajłasz-Besov space Hajłasz-Sobolev space Hajłasz-Triebel-Lizorkin space Hardy inequality hardy space Hardy space Hardy's inequality homogeneous group JNp Lebesgue point local block space local Morrey space maximal function metric measure space meyer wavelet molecule Morrey space Morrey spaces optimal polynomial inequality paraproduct pointwise multipliers real interpolation Riesz potential Riesz-Morrey space Schrödinger equation Sobolev spaces space of homogeneous type T(1) theorem tensor bundles Triebel-Lizorkin space uniform domain vanishing John-Nirenberg space variable Lebesgue space |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910576885603321 |
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Yang Dachun
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| Basel, : MDPI - Multidisciplinary Digital Publishing Institute, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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