Commensurabilities among Lattices in PU (1,n). (AM-132), Volume 132 / / G. Daniel Mostow, Pierre Deligne |
Autore | Deligne Pierre |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (196 pages) : illustrations |
Disciplina | 515/.25 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Hypergeometric functions
Monodromy groups Lattice theory |
Soggetto non controllato |
Abuse of notation
Algebraic variety Analytic continuation Arithmetic group Automorphism Bernhard Riemann Big O notation Codimension Coefficient Cohomology Commensurability (mathematics) Compactification (mathematics) Complete quadrangle Complex number Complex space Conjugacy class Connected component (graph theory) Coprime integers Cube root Derivative Diagonal matrix Differential equation Dimension (vector space) Discrete group Divisor (algebraic geometry) Divisor Eigenvalues and eigenvectors Ellipse Elliptic curve Equation Existential quantification Fiber bundle Finite group First principle Fundamental group Gelfand Holomorphic function Hypergeometric function Hyperplane Hypersurface Integer Inverse function Irreducible component Irreducible representation Isolated point Isomorphism class Line bundle Linear combination Linear differential equation Local coordinates Local system Locally finite collection Mathematical proof Minkowski space Moduli space Monodromy Morphism Multiplicative group Neighbourhood (mathematics) Open set Orbifold Permutation Picard group Point at infinity Polynomial ring Projective line Projective plane Projective space Root of unity Second derivative Simple group Smoothness Subgroup Subset Symmetry group Tangent space Tangent Theorem Transversal (geometry) Uniqueness theorem Variable (mathematics) Vector space |
ISBN | 1-4008-8251-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- CONTENTS -- ACKNOWLEDGMENTS -- §1. INTRODUCTION -- §2. PICARD GROUP AND COHOMOLOGY -- §3. COMPUTATIONS FOR Q AND Q+ -- §4. LAURICELLA'S HYPERGEOMETRIC FUNCTIONS -- §5. GELFAND'S DESCRIPTION OF HYPERGEOMETRIC FUNCTIONS -- §6. STRICT EXPONENTS -- §7. CHARACTERIZATION OF HYPERGEOMETRIC-LIKE LOCAL SYSTEMS -- §8. PRELIMINARIES ON MONODROMY GROUPS -- §9. BACKGROUND HEURISTICS -- §10. SOME COMMENSURABILITY THEOREMS -- §11. ANOTHER ISOGENY -- §12. COMMENSURABILITY AND DISCRETENESS -- §13. AN EXAMPLE -- §14. ORBIFOLD -- §15. ELLIPTIC AND EUCLIDEAN μ'S, REVISITED -- §16. LIVNE'S CONSTRUCTION OF LATTICES IN PU(1,2) -- §17. LIN E ARRANGEMENTS: QUESTIONS -- Bibliography |
Record Nr. | UNINA-9910154745503321 |
Deligne Pierre
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Contributions to the Theory of Partial Differential Equations. (AM-33), Volume 33 / / Lipman Bers, Fritz John, Salomon Trust |
Autore | Bers Lipman |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (268 pages) |
Disciplina | 517.38 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Differential equations, Partial |
Soggetto non controllato |
A priori estimate
Absolute value Adjoint equation Analytic continuation Analytic function Applied mathematics Axiom Bernhard Riemann Big O notation Bilinear form Boundary value problem Bounded set (topological vector space) Calculation Cauchy problem Cauchy sequence Cauchy–Riemann equations Closure (mathematics) Coefficient Conservation law Constant coefficients Continuous function Derivative Difference "ient Differentiable function Differential equation Differential form Differential operator Directional derivative Dirichlet boundary condition Dirichlet integral Dirichlet problem Eigenfunction Eigenvalues and eigenvectors Ellipse Elliptic operator Elliptic partial differential equation Equation Estimation Exact differential Existence theorem Existential quantification Exponential function Finite difference method Finite difference Function (mathematics) Fundamental solution Green's function Harmonic function Heat equation Hilbert space Hyperbolic partial differential equation Hölder's inequality Infinitesimal generator (stochastic processes) Initial value problem Integral equation Integration by parts Kronecker delta Lagrange polynomial Laplace's equation Limit (mathematics) Limit of a sequence Limit superior and limit inferior Linear differential equation Linear function Linear map Lipschitz continuity Mathematical proof Modulus of continuity Mollifier N-vector Nonlinear system Numerical analysis Operational calculus Ordinary differential equation Parametrix Parity (mathematics) Partial derivative Partial differential equation Pointwise Polynomial Quadratic form Quasiconformal mapping Riemann function Riemannian geometry Riemannian manifold Riemann–Liouville integral Self-adjoint operator Self-adjoint Sign (mathematics) Simultaneous equations Special case Spectral theory Subsequence Theorem Unit vector Upper and lower bounds Variable (mathematics) Variational principle Wave equation Weak solution |
ISBN | 1-4008-8218-4 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword -- Contents -- I. Green's Formula and Analytic Continuation / Bochner, S. -- II. Strongly Elliptic Systems of Differential Equations / Browder, F. E. -- III. Derivatives of Solutions of Linear Elliptic Partial Differential Equations / John, F. -- IV. On Multivalued Solutions of Linear Partial Differential Equations / Bergman, S. -- V. Function-Theoretical Properties of Solutions of Partial Differential Equations of Elliptic Type / Bers, L. -- VI. On a Generalization of Quasi-Conformal Mappings and its Application to Elliptic Partial Differential Equations / Nirenberg, L. -- VII. Second Order Elliptic Systems of Differential Equations / Morrey, C. B. -- VIII. Conservation Laws of Certain Systems of Partial Differential Equations and Associated Mappings / Loewner, C. -- IX. Parabolic Equations / Lax, P. D. / Milgram, A. N. -- X. Linear Equations of Parabolic Type with Constant Coefficients / Rosenbloom, P. C. -- XI. On Linear Hyperbolic Differential Equations with Variable Coefficients on a Vector Space / Leray, J. -- XII. The Initial Value Problem for Nonlinear Hyperbolic Equations in Two Independent Variables / Lax, P. D. -- XIII. A Geometric Treatment of Linear Hyperbolic Equations of Second Order / Douglis, A. -- XIV. On Cauchy's Problem and Fundamental Solutions / Diaz, J. B. -- XV. A Boundary Value Problem for the Wave Equation and Mean Value Theorems / Protter, M. H. -- Backmatter |
Record Nr. | UNINA-9910154747003321 |
Bers Lipman
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau |
Autore | Bismut Jean-Michel |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2008 |
Descrizione fisica | 1 online resource (378 p.) |
Disciplina | 515/.7242 |
Altri autori (Persone) | LebeauGilles |
Collana | Annals of mathematics studies |
Soggetto topico |
Differential equations, Hypoelliptic
Laplacian operator Metric spaces |
Soggetto non controllato |
Alexander Grothendieck
Analytic function Asymptote Asymptotic expansion Berezin integral Bijection Brownian dynamics Brownian motion Chaos theory Chern class Classical Wiener space Clifford algebra Cohomology Combination Commutator Computation Connection form Coordinate system Cotangent bundle Covariance matrix Curvature tensor Curvature De Rham cohomology Derivative Determinant Differentiable manifold Differential operator Dirac operator Direct proof Eigenform Eigenvalues and eigenvectors Ellipse Embedding Equation Estimation Euclidean space Explicit formula Explicit formulae (L-function) Feynman–Kac formula Fiber bundle Fokker–Planck equation Formal power series Fourier series Fourier transform Fredholm determinant Function space Girsanov theorem Ground state Heat kernel Hilbert space Hodge theory Holomorphic function Holomorphic vector bundle Hypoelliptic operator Integration by parts Invertible matrix Logarithm Malliavin calculus Martingale (probability theory) Matrix calculus Mellin transform Morse theory Notation Parameter Parametrix Parity (mathematics) Polynomial Principal bundle Probabilistic method Projection (linear algebra) Rectangle Resolvent set Ricci curvature Riemann–Roch theorem Scientific notation Self-adjoint operator Self-adjoint Sign convention Smoothness Sobolev space Spectral theory Square root Stochastic calculus Stochastic process Summation Supertrace Symmetric space Tangent space Taylor series Theorem Theory Torus Trace class Translational symmetry Transversality (mathematics) Uniform convergence Variable (mathematics) Vector bundle Vector space Wave equation |
ISBN |
1-282-45837-X
9786612458378 1-4008-2906-2 |
Classificazione | SK 620 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- Chapter 1. Elliptic Riemann-Roch-Grothendieck and flat vector bundles -- Chapter 2. The hypoelliptic Laplacian on the cotangent bundle -- Chapter 3. Hodge theory, the hypoelliptic Laplacian and its heat kernel -- Chapter 4. Hypoelliptic Laplacians and odd Chern forms -- Chapter 5. The limit as t → +∞ and b → 0 of the superconnection forms -- Chapter 6. Hypoelliptic torsion and the hypoelliptic Ray-Singer metrics -- Chapter 7. The hypoelliptic torsion forms of a vector bundle -- Chapter 8. Hypoelliptic and elliptic torsions: a comparison formula -- Chapter 9. A comparison formula for the Ray-Singer metrics -- Chapter 10. The harmonic forms for b → 0 and the formal Hodge theorem -- Chapter 11. A proof of equation (8.4.6) -- Chapter 12. A proof of equation (8.4.8) -- Chapter 13. A proof of equation (8.4.7) -- Chapter 14. The integration by parts formula -- Chapter 15. The hypoelliptic estimates -- Chapter 16. Harmonic oscillator and the J0 function -- Chapter 17. The limit of A'2φb,±H as b → 0 -- Bibliography -- Subject Index -- Index of Notation |
Record Nr. | UNINA-9910781084803321 |
Bismut Jean-Michel
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Princeton, : Princeton University Press, 2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning |
Autore | Gunning Robert C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (108 pages) : illustrations |
Disciplina | 512.87 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Forms, Modular
Modular functions |
Soggetto non controllato |
Automorphism
Big O notation Calculation Chain rule Change of variables Coefficient Compact Riemann surface Compact space Compactification (mathematics) Cusp form Differential form Dimension (vector space) Eisenstein series Ellipse Equivalence class Equivalence relation Euler characteristic Fourier series Fundamental domain Geometry Hilbert space Integer Linear combination Linear fractional transformation Linear map Linear subspace Local coordinates Meromorphic function Modular form Modular group Neighbourhood (mathematics) Quadratic form Quotient group Quotient space (topology) Requirement Riemann sphere Riemann surface Scientific notation Strong topology Subgroup Summation Theorem Uniformization theorem Upper half-plane Vector space |
ISBN | 1-4008-8166-8 |
Classificazione | SK 180 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMS |
Record Nr. | UNINA-9910154753603321 |
Gunning Robert C.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera |
Autore | Kumpera Antonio |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (312 pages) |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Lie groups
Lie algebras Differential equations |
Soggetto non controllato |
Adjoint representation
Adjoint Affine transformation Alexander Grothendieck Analytic function Associative algebra Atlas (topology) Automorphism Bernhard Riemann Big O notation Bundle map Category of topological spaces Cauchy–Riemann equations Coefficient Commutative diagram Commutator Complex conjugate Complex group Complex manifold Computation Conformal map Continuous function Coordinate system Corollary Cotangent bundle Curvature tensor Deformation theory Derivative Diagonal Diffeomorphism Differentiable function Differential form Differential operator Differential structure Direct proof Direct sum Ellipse Endomorphism Equation Exact sequence Exactness Existential quantification Exponential function Exponential map (Riemannian geometry) Exterior derivative Fiber bundle Fibration Frame bundle Frobenius theorem (differential topology) Frobenius theorem (real division algebras) Group isomorphism Groupoid Holomorphic function Homeomorphism Integer J-invariant Jacobian matrix and determinant Jet bundle Linear combination Linear map Manifold Maximal ideal Model category Morphism Nonlinear system Open set Parameter Partial derivative Partial differential equation Pointwise Presheaf (category theory) Pseudo-differential operator Pseudogroup Quantity Regular map (graph theory) Requirement Riemann surface Right inverse Scalar multiplication Sheaf (mathematics) Special case Structure tensor Subalgebra Subcategory Subgroup Submanifold Subset Tangent bundle Tangent space Tangent vector Tensor field Tensor product Theorem Torsion tensor Transpose Variable (mathematics) Vector bundle Vector field Vector space Volume element |
ISBN | 1-4008-8173-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index |
Record Nr. | UNINA-9910154751903321 |
Kumpera Antonio
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Metric Methods of Finsler Spaces and in the Foundations of Geometry. (AM-8) / / Herbert Busemann |
Autore | Busemann Herbert |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (252 pages) : illustrations |
Disciplina | 516 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Generalized spaces
Geometry - Foundations |
Soggetto non controllato |
Abelian group
Absolute geometry Affine transformation Approximation Arc length Archimedean property Asymptote Axiom A. Axiom Axiomatic system Bernhard Riemann C0 Cartesian coordinate system Closed geodesic Collinearity Compact space Conjecture Conjugate points Constant curvature Convex body Convex curve Convex function Convex hull Convex metric space Convex polygon Convex set Coordinate system Counterexample Covariance and contravariance of vectors Curvature Diameter Differentiable function Dimension (vector space) Dimension Dimensional analysis Elementary proof Ellipse Ellipsoid Elliptic geometry Equation Equidistant Euclidean distance Euclidean geometry Euclidean space Exterior (topology) Geodesic Geodesy Geometry Group theory Hilbert geometry Hilbert space Homogeneous space Homotopy Hyperbola Hyperbolic geometry Hyperbolic motion Hyperplane Infimum and supremum Infinitesimal Intersection (set theory) Invariance theorem Jordan curve theorem Limit point Line at infinity Linear space (geometry) Linear subspace Linearity Metric space Minkowski space Non-Euclidean geometry Non-positive curvature Notation Open problem Parity (mathematics) Perpendicular Pointwise Projective geometry Projective plane Requirement Riemannian geometry Sequence Sign (mathematics) Simply connected space Special case Subgroup Subsequence Subset Tangent cone Tangent space Theorem Theory Three-dimensional space (mathematics) Topological group Topological space Topology Transitive relation Triangle inequality Two-dimensional space Unit circle Unit vector |
ISBN | 1-4008-8229-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Preface -- Table of Contents -- Chapter I. Metric Spaces with Geodesics -- Chapter II. Metric Conditions for Finsler Spaces -- Chapter III. Properties of General S. L. Spaces -- Chapter IV. Spaces with Convex Spheres -- Chapter V. Motions -- Bibliography -- Index |
Record Nr. | UNINA-9910154744003321 |
Busemann Herbert
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105 / / Mariano Giaquinta |
Autore | Giaquinta Mariano |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (309 pages) |
Disciplina | 515/.64 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Calculus of variations
Multiple integrals Differential equations, Elliptic |
Soggetto non controllato |
A priori estimate
Analytic function Boundary value problem Calculus of variations Coefficient Compact space Convex function Convex set Corollary Counterexample David Hilbert Dense set Derivative Differentiable function Differential geometry Dirichlet integral Dirichlet problem Division by zero Ellipse Energy functional Equation Estimation Euler equations (fluid dynamics) Existential quantification First variation Generic property Harmonic function Harmonic map Hausdorff dimension Hölder's inequality I0 Infimum and supremum Limit superior and limit inferior Linear equation Maxima and minima Maximal function Metric space Minimal surface Multiple integral Nonlinear system Obstacle problem Open set Partial derivative Quantity Semi-continuity Singular solution Smoothness Sobolev space Special case Stationary point Subsequence Subset Theorem Topological property Topology Uniform convergence Variational inequality Weak formulation Weak solution |
ISBN | 1-4008-8162-5 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface / Giaquinta, Mariano -- Chapter I: Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems / Giaquinta, Mariano -- Chapter II: An Introduction to the Regularity Problem -- Chapter III: Linear Systems: The Regularity Theory -- Chapter IV: Systems in Variation: The Indirect Approach to the Regularity -- Chapter V: Reverse Holder Inequalities And LP-Estimates -- Chapter VI: Nonlinear Elliptic Systems: The Direct Approach to Regularity -- Chapter VII: Nonlinear Elliptic Systems: Special Structures and Everywhere Regularity -- Chapter VIII: A Few Remarks and Extensions -- Chapter IX: Direct Methods for the Regularity -- References -- Backmatter |
Record Nr. | UNINA-9910154751703321 |
Giaquinta Mariano
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor |
Autore | Hirzebruch Friedrich |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (197 pages) |
Disciplina | 510 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Mathematics |
Soggetto non controllato |
A priori estimate
Addition Additive group Affine space Algebraic geometry Algebraic group Atiyah–Singer index theorem Bernoulli number Boundary value problem Bounded operator C*-algebra Canonical transformation Cauchy problem Characteristic class Clifford algebra Coefficient Cohomology Commutative property Commutative ring Complex manifold Complex number Complex vector bundle Dedekind sum Degenerate bilinear form Diagram (category theory) Diffeomorphism Differentiable manifold Differential operator Dimension (vector space) Ellipse Elliptic operator Equation Euler characteristic Euler number Existence theorem Exotic sphere Finite difference Finite group Fourier integral operator Fourier transform Fourier Fredholm operator Hardy space Hilbert space Holomorphic vector bundle Homogeneous coordinates Homomorphism Homotopy Hyperbolic partial differential equation Identity component Integer Integral transform Isomorphism class John Milnor K-theory Lebesgue measure Line bundle Local ring Mathematics Maximal ideal Modular form Module (mathematics) Monoid Normal bundle Number theory Open set Parametrix Parity (mathematics) Partial differential equation Piecewise linear manifold Poisson bracket Polynomial ring Polynomial Prime number Principal part Projective space Pseudo-differential operator Quadratic form Rational variety Real number Reciprocity law Resolution of singularities Riemann–Roch theorem Shift operator Simply connected space Special case Square-integrable function Subalgebra Submanifold Support (mathematics) Surjective function Symmetric bilinear form Symplectic vector space Tangent space Theorem Topology Variable (mathematics) Vector bundle Vector space Winding number |
ISBN | 1-4008-8169-2 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- PREFACE -- CONTENTS -- THE SIGNATURE THEOREM: REMINISCENCES AND RECREATION / Hirzebruch, F. -- THE CALCULUS OF FOURIER INTEGRAL OPERATORS / Hormander, Lars -- SYMMETRIC INNER PRODUCTS IN CHARACTERISTIC 2 / Milnor, John -- COHOMOLOGIE DES GROUPES DISCRETS / Serre, Jean-Pierre -- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS / Singer, I. M. |
Record Nr. | UNINA-9910154751003321 |
Hirzebruch Friedrich
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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