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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (257 pages) : illustrations
Disciplina 512/.7
Collana Annals of Mathematics Studies
Soggetto topico Gaussian sums
Kloosterman sums
Homology theory
Monodromy groups
Soggetto non controllato Abelian category
Absolute Galois group
Absolute value
Additive group
Adjoint representation
Affine variety
Algebraic group
Automorphic form
Automorphism
Big O notation
Cartan subalgebra
Characteristic polynomial
Classification theorem
Coefficient
Cohomology
Cokernel
Combination
Commutator
Compactification (mathematics)
Complex Lie group
Complex number
Conjugacy class
Continuous function
Convolution theorem
Convolution
Determinant
Diagonal matrix
Dimension (vector space)
Direct sum
Dual basis
Eigenvalues and eigenvectors
Empty set
Endomorphism
Equidistribution theorem
Estimation
Exactness
Existential quantification
Exponential sum
Exterior algebra
Faithful representation
Finite field
Finite group
Four-dimensional space
Frobenius endomorphism
Fundamental group
Fundamental representation
Galois group
Gauss sum
Homomorphism
Integer
Irreducibility (mathematics)
Isomorphism class
Kloosterman sum
L-function
Leray spectral sequence
Lie algebra
Lie theory
Maximal compact subgroup
Method of moments (statistics)
Monodromy theorem
Monodromy
Morphism
Multiplicative group
Natural number
Nilpotent
Open problem
P-group
Pairing
Parameter space
Parameter
Partially ordered set
Perfect field
Point at infinity
Polynomial ring
Prime number
Quotient group
Representation ring
Representation theory
Residue field
Riemann hypothesis
Root of unity
Sheaf (mathematics)
Simple Lie group
Skew-symmetric matrix
Smooth morphism
Special case
Spin representation
Subgroup
Support (mathematics)
Symmetric matrix
Symplectic group
Symplectic vector space
Tensor product
Theorem
Trace (linear algebra)
Trivial representation
Variable (mathematics)
Weil conjectures
Weyl character formula
Zariski topology
ISBN 1-4008-8212-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. Breaks and Swan Conductors -- CHAPTER 2. Curves and Their Cohomology -- CHAPTER 3. Equidistribution in Equal Characteristic -- CHAPTER 4. Gauss Sums and Kloosterman Sums: Kloosterman Sheaves -- CHAPTER 5. Convolution of Sheaves on Gm -- CHAPTER 6. Local Convolution -- CHAPTER 7. Local Monodromy at Zero of a Convolution: Detailed Study -- CHAPTER 8. Complements on Convolution -- CHAPTER 9. Equidistribution in (S1)r of r-tuples of Angles of Gauss Sums -- CHAPTER 10. Local Monodromy at ∞ of Kloosterman Sheaves -- CHAPTER 11. Global Monodromy of Kloosterman Sheaves -- CHAPTER 12. Integral Monodromy of Kloosterman Sheaves (d'après O. Gabber) -- CHAPTER 13. Equidistribution of "Angles" of Kloosterman Sums -- References
Record Nr. UNINA-9910154750003321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
Harmonic Analysis in Phase Space. (AM-122), Volume 122 / / Gerald B. Folland
Autore Folland Gerald B.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (289 pages) : illustrations
Disciplina 530.1/3
Collana Annals of Mathematics Studies
Soggetto topico Phase space (Statistical physics)
Harmonic analysis
Soggetto non controllato Analytic continuation
Analytic function
Antisymmetric tensor
Asymptotic expansion
Automorphism
Bilinear form
Bounded operator
Calculation
Canonical commutation relation
Canonical transformation
Cauchy–Riemann equations
Cayley transform
Class function (algebra)
Classical mechanics
Commutative property
Complex analysis
Configuration space
Differential equation
Differential geometry
Differential operator
Eigenvalues and eigenvectors
Equation
Explicit formula
Fock space
Fourier analysis
Fourier integral operator
Fourier transform
Functional analysis
Gaussian function
Gaussian integral
Geometric quantization
Hamiltonian mechanics
Hamiltonian vector field
Harmonic analysis
Heisenberg group
Hermite polynomials
Hermitian symmetric space
Hilbert space
Hilbert transform
Integral transform
Invariant subspace
Irreducible representation
Lebesgue measure
Lie algebra
Lie superalgebra
Lie theory
Mathematical physics
Number theory
Observable
Ordinary differential equation
Orthonormal basis
Oscillator representation
Oscillatory integral
Partial differential equation
Phase factor
Phase space
Point at infinity
Poisson bracket
Polynomial
Power series
Probability
Projection (linear algebra)
Projective Hilbert space
Projective representation
Projective space
Pseudo-differential operator
Pullback (category theory)
Quadratic function
Quantum harmonic oscillator
Quantum mechanics
Representation theory
Schrödinger equation
Self-adjoint operator
Semigroup
Several complex variables
Siegel disc
Sobolev space
Spectral theorem
Spectral theory
State-space representation
Stone's theorem
Stone–Weierstrass theorem
Summation
Symmetric space
Symmetric tensor
Symplectic geometry
Symplectic group
Symplectic vector space
Symplectomorphism
Tangent space
Tangent vector
Theorem
Translational symmetry
Unbounded operator
Unit vector
Unitarity (physics)
Unitary operator
Unitary representation
Variable (mathematics)
Wave packet
ISBN 1-4008-8242-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE -- PROLOGUE. SOME MATTERS OF NOTATION -- CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS -- CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS -- CHAPTER 3. WAVE PACKETS AND WAVE FRONTS -- CHAPTER 4. THE METAPLECTIC REPRESENTATION -- CHAPTER 5. THE OSCILLATOR SEMIGROUP -- APPENDIX A. GAUSSIAN INTEGRALS AND A LEMMA ON DETERMINANTS -- APPENDIX B. SOME HILBERT SPACE RESULTS -- BIBLIOGRAPHY -- INDEX
Record Nr. UNINA-9910154752303321
Folland Gerald B.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui