Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust
| Lectures on Fourier Integrals. (AM-42), Volume 42 / / Salomon Trust |
| Autore | Trust Salomon |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (348 pages) |
| Disciplina | 517.355 |
| Altri autori (Persone) |
PollardHarry
TenenbaumMorris |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Fourier series
Integrals Harmonic analysis |
| Soggetto non controllato |
Abscissa
Absolute value Absolutely integrable function Acta Mathematica Addition Additive function Affine transformation Almost periodic function Analytic function Antiderivative Arbitrarily large Arithmetic mean Augustin-Louis Cauchy Bernhard Riemann Bessel function Big O notation Borel set Boundary layer Boundary value problem Bounded function Bounded variation Calculation Cauchy principal value Characteristic function (probability theory) Coefficient Compact space Compactness theorem Complex number Continuous function Dense set Derivative Differentiable function Dirichlet series Distribution function Division by zero E. W. Hobson Eigenfunction Eigenvalues and eigenvectors Empty set Equation Existential quantification Exponential polynomial Exterior (topology) Fourier transform Function (mathematics) Functional equation Gamma function Generating function Harmonic function Initial point Integer Integral equation Interval (mathematics) Limit of a sequence Line (geometry) Linear combination Linear differential equation Mathematische Annalen Mean value theorem Monotonic function Null set Order of integration (calculus) Order of integration Order of magnitude Parameter Partial derivative Partial fraction decomposition Poisson formula Poisson summation formula Polar coordinate system Polynomial Power series Principal part Rapidity Rational function Rational number Real variable Remainder Requirement Set function Sign (mathematics) Smoothness Special case State function Step function Subsequence Summation Theorem Total variation Trigonometric integral Uniform convergence Uniqueness theorem Variable (mathematics) |
| ISBN | 1-4008-8199-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- CHAPTER I. BASIC PROPERTIES OF TRIGONOMETRIC INTEGRALS -- CHAPTER II. REPRESENTATION - AND SUM FORMULAS -- CHAPTER III. THE FOURIER INTEGRAL THEOREM -- CHAPTER IV. STIELTJES INTEGRALS -- CHAPTER V. OPERATIONS WITH FUNCTIONS OF THE CLASS FO -- CHAPTER VI. GENERALIZED TRIGONOMETRIC INTEGRALS -- CHAPTER VII. ANALYTIC AND HARMONIC FUNCTIONS -- CHAPTER VIII. QUADRATIC INTEGRABILITV -- CHAPTER IX. FUNCTIONS OF SEVERAL VARIABLES -- APPENDIX -- REMARKS - QUOTATIONS -- MONOTONIC FUNCTIONS, STIELTJES INTEGRALS AND HARMONIC ANALYSIS -- SYMBOLS |
| Record Nr. | UNINA-9910154749703321 |
Trust Salomon
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane
| Order-Preserving Maps and Integration Processes. (AM-31), Volume 31 / / Edward J. McShane |
| Autore | McShane Edward J. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (148 pages) |
| Disciplina | 512.86 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Group theory
Integrals |
| Soggetto non controllato |
Abelian group
Addition Axiom Baire function Banach space Big O notation Binary operation Binary relation Borel set Bounded function Cartesian product Characteristic function (probability theory) Circumference Closure (mathematics) Coefficient Combination Commutative algebra Compact space Complete lattice Continuous function (set theory) Continuous function Contradiction Corollary Coset Countable set Directed set Domain of a function Elementary function Empty set Equation Equivalence class Estimation Existential quantification Finite set Fubini's theorem Hilbert space I0 Infimum and supremum Integer L-function Lattice (order) Lebesgue integration Limit (mathematics) Limit superior and limit inferior Linear map Measure (mathematics) Monotonic function Natural number Order of operations Parity (mathematics) Partially ordered group Partially ordered set Pointwise convergence Pointwise Polynomial Projection (linear algebra) Quadratic function Real number Requirement Riemann integral Riemann–Stieltjes integral Scalar multiplication Scientific notation Self-adjoint operator Set (mathematics) Set function Sign (mathematics) Special case Subset Subtraction Summation Theorem Unification (computer science) Upper and lower bounds |
| ISBN | 1-4008-8230-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER I. PARTIALLY ORDERED SETS AND SYSTEMS -- CHAPTER II. DEFINITION OF THE MAPPING -- CHAPTER III. LATTICE PROPERTIES, CONVERGENCE AND MEASURABILITY -- CHAPTER IV. ALGEBRAIC OPERATIONS -- CHAPTER V. REAL-VALUED FUNCTIONS -- CHAPTER VI. APPLICATIONS -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154751203321 |
McShane Edward J.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow
| Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 / / G. Daniel Mostow |
| Autore | Mostow G. Daniel |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (205 pages) |
| Disciplina | 516/.36 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Riemannian manifolds
Symmetric spaces Lie groups Rigidity (Geometry) |
| Soggetto non controllato |
Addition
Adjoint representation Affine space Approximation Automorphism Axiom Big O notation Boundary value problem Cohomology Compact Riemann surface Compact space Conjecture Constant curvature Corollary Counterexample Covering group Covering space Curvature Diameter Diffeomorphism Differentiable function Dimension Direct product Division algebra Ergodicity Erlangen program Existence theorem Exponential function Finitely generated group Fundamental domain Fundamental group Geometry Half-space (geometry) Hausdorff distance Hermitian matrix Homeomorphism Homomorphism Hyperplane Identity matrix Inner automorphism Isometry group Jordan algebra Matrix multiplication Metric space Morphism Möbius transformation Normal subgroup Normalizing constant Partially ordered set Permutation Projective space Riemann surface Riemannian geometry Sectional curvature Self-adjoint Set function Smoothness Stereographic projection Subgroup Subset Summation Symmetric space Tangent space Tangent vector Theorem Topology Tubular neighborhood Two-dimensional space Unit sphere Vector group Weyl group |
| ISBN | 1-4008-8183-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- §1. Introduction -- §2. Algebraic Preliminaries -- §3. The Geometry of χ : Preliminaries -- §4. A Metric Definition of the Maximal Boundary -- §5. Polar Parts -- §6. A Basic Inequality -- §7. Geometry of Neighboring Flats -- §8. Density Properties of Discrete Subgroups -- §8. Density Properties of Discrete Subgroups -- § 10. Pseudo Isometries of Simply Connected Spaces with Negative Curvature -- §11. Polar Regular Elements in Co-Compact Γ -- § 12. Pseudo-Isometric Invariance of Semi-Simple and Unipotent Elements -- §13. The Basic Approximation -- §14. The Map ∅̅ -- §15. The Boundary Map ∅0 -- §16. Tits Geometries -- §17. Rigidity for R-rank > 1 -- §18. The Restriction to Simple Groups -- §19. Spaces of R-rank 1 -- §20. The Boundary Semi-Metric -- §21. Quasi-Conformal Mappings Over K and Absolute Continuity on Almost All R-Circles -- §22. The Effect of Ergodicity -- §23. R-Rank 1 Rigidity Proof Concluded -- §24. Concluding Remarks -- Bibliography -- Backmatter |
| Record Nr. | UNINA-9910154743303321 |
Mostow G. Daniel
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Lo trovi qui: Univ. Federico II | ||
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