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1: A Sharp Divergence Theorem with Nontangential Pointwise Traces / Dorina Mitrea, Irina Mitrea, Marius Mitrea
| 1: A Sharp Divergence Theorem with Nontangential Pointwise Traces / Dorina Mitrea, Irina Mitrea, Marius Mitrea |
| Autore | Mitrea, Dorina |
| Pubbl/distr/stampa | Cham, : Springer, 2022 |
| Descrizione fisica | xxviii, 924 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Mitrea, Irina
Mitrea, Marius |
| Soggetto topico |
15A66 - Clifford algebras, spinors [MSC 2020]
26-XX - Real functions [MSC 2020] 35-XX - Partial differential equations [MSC 2020] 35Jxx - Elliptic equations and elliptic systems [MSC 2020] 42-XX - Harmonic analysis on Euclidean spaces [MSC 2020] 42Bxx - Harmonic analysis in several variables [MSC 2020] |
| Soggetto non controllato |
Ahlfors regular domain
Bounded mean oscillations Clifford algebras Differential Forms Divergence Theorem First-order system Gauss-Green theorem Hardy-Littlewood maximal function Integration by parts NTA domain Nontangential maximal function Nontangentially accessible boundary Quasi-metric spaces Regular SKT domain Reifenberg flat domain Riemannian manifolds Spaces of homogenous type Stokes’ theorem Uniform domain Vanishing mean oscillations |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0277503 |
Mitrea, Dorina
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| Cham, : Springer, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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2: Function Spaces Measuring Size and Smoothness on Rough Sets / Dorina Mitrea, Irina Mitrea, Marius Mitrea
| 2: Function Spaces Measuring Size and Smoothness on Rough Sets / Dorina Mitrea, Irina Mitrea, Marius Mitrea |
| Autore | Mitrea, Dorina |
| Pubbl/distr/stampa | Cham, : Springer, 2022 |
| Descrizione fisica | xix, 930 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Mitrea, Irina
Mitrea, Marius |
| Soggetto non controllato |
Boundary Value Problems
Divergence Theorem Function spaces Integral representation formulas in complex analysis Integration by parts Singular integral operators Stokes’ theorem |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0277507 |
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Mitrea, Dorina
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| Cham, : Springer, 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein
| Beijing Lectures in Harmonic Analysis. (AM-112), Volume 112 / / Elias M. Stein |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (436 pages) : illustrations |
| Disciplina | 515/.2433 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Harmonic analysis |
| Soggetto non controllato |
Analytic function
Asymptotic formula Bergman metric Bernhard Riemann Bessel function Biholomorphism Boundary value problem Bounded mean oscillation Bounded operator Boundedness Cauchy's integral formula Characteristic function (probability theory) Characterization (mathematics) Coefficient Commutator Complexification (Lie group) Continuous function Convolution Degeneracy (mathematics) Differential equation Differential operator Dirac delta function Dirichlet problem Equation Estimation Existence theorem Existential quantification Explicit formula Explicit formulae (L-function) Fatou's theorem Fourier analysis Fourier integral operator Fourier transform Fredholm theory Fubini's theorem Function (mathematics) Functional calculus Fundamental solution Gaussian curvature Hardy space Harmonic analysis Harmonic function Harmonic measure Heisenberg group Hilbert space Hilbert transform Hodge theory Holomorphic function Hyperbolic partial differential equation Hölder's inequality Infimum and supremum Integration by parts Interpolation theorem Intersection (set theory) Invertible matrix Isometry group Laplace operator Laplace's equation Lebesgue measure Linear map Lipschitz continuity Lipschitz domain Lp space Mathematical induction Mathematical physics Maximal function Maximum principle Measure (mathematics) Newtonian potential Non-Euclidean geometry Number theory Operator theory Oscillatory integral Parameter Partial derivative Partial differential equation Polynomial Power series Product metric Radon–Nikodym theorem Riemannian manifold Riesz representation theorem Scientific notation Several complex variables Sign (mathematics) Simultaneous equations Singular function Singular integral Sobolev space Square (algebra) Statistical hypothesis testing Stokes' theorem Support (mathematics) Tangent space Tensor product Theorem Trigonometric series Uniformization theorem Variable (mathematics) Vector field |
| ISBN | 1-4008-8209-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- NON-LINEAR HARMONIC ANALYSIS, OPERATOR THEORY AND P.D.E. / Coifman, R. R. / Meyer, Yves -- MULTIPARAMETER FOURIER ANALYSIS / Fefferman, Robert -- ELLIPTIC BOUNDARY VALUE PROBLEMS ON LIPSCHITZ DOMAINS / Kenig, Carlos E. -- INTEGRAL FORMULAS IN COMPLEX ANALYSIS / Krantz, Steven G. -- VECTOR FIELDS AND NONISOTROPIC METRICS / Nagel, Alexander -- OSCILLATORY INTEGRALS IN FOURIER ANALYSIS / Stein, E. M. -- AVERAGES AND SINGULAR INTEGRALS OVER LOWER DIMENSIONAL SETS / Wainge, Stephen -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749103321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Calculus on Heisenberg Manifolds. (AM-119), Volume 119 / / Richard Beals, Peter Charles Greiner
| Calculus on Heisenberg Manifolds. (AM-119), Volume 119 / / Richard Beals, Peter Charles Greiner |
| Autore | Beals Richard |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (208 pages) |
| Disciplina | 515.7/242 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hypoelliptic operators
Calculus Differentiable manifolds |
| Soggetto non controllato |
Adjoint
Affine transformation Approximation Asymptotic expansion Calculation Codimension Complex geometry Complex manifold Computation Convolution De Rham cohomology Derivative Differentiable manifold Differential operator Dimension (vector space) Estimation Fourier integral operator Fourier transform Function space Heat equation Heisenberg group Hilbert space Homogeneous function Hypoelliptic operator Identity element Integration by parts Invertible matrix Manifold Nilpotent group Parametrix Partial differential equation Pointwise product Pointwise Polynomial Principal part Pseudo-differential operator Riemannian manifold Self-adjoint Several complex variables Singular integral Smoothing Structure constants Subset Summation Tangent bundle Theorem Transpose Unit circle Vector field |
| ISBN | 1-4008-8239-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. The Model Operators -- Chapter 2. Inverting the Model Operator -- Chapter 3. Pseudodifferential Operators on Heisenberg Manifolds -- Chapter 4. Application to the ∂̅b - Complex -- Bibliography -- Index of Terminology -- List of Notation |
| Record Nr. | UNINA-9910154747103321 |
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Beals Richard
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves
| Hyperfunctions on Hypo-Analytic Manifolds (AM-136), Volume 136 / / Paulo Cordaro, François Treves |
| Autore | Cordaro Paulo |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (398 pages) |
| Disciplina | 515/.782 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Hyperfunctions
Submanifolds |
| Soggetto non controllato |
Alexander Grothendieck
Analytic function Analytic manifold Borel transform Boundary value problem Bounded function Bounded set (topological vector space) Bounded set C0 CR manifold Cauchy problem Codimension Coefficient Cohomology Compact space Complex manifold Complex number Complex space Connected space Continuous function (set theory) Continuous function Convex set Convolution Cotangent bundle Counterexample De Rham cohomology Dense set Differential operator Disjoint union Domain of a function Eigenvalues and eigenvectors Embedding Entire function Equation Equivalence class Equivalence relation Euclidean space Existential quantification Exterior algebra Exterior derivative Fiber bundle Fourier transform Function space Functional analysis Fundamental solution Harmonic function Holomorphic function Homomorphism Hyperfunction Hypersurface Infimum and supremum Integration by parts Laplace's equation Limit of a sequence Linear map Linear space (geometry) Linear subspace Locally convex topological vector space Mathematical induction Montel space Montel's theorem Morphism Neighbourhood (mathematics) Norm (mathematics) Open set Partial derivative Partial differential equation Polytope Presheaf (category theory) Pullback (category theory) Pullback Quotient space (topology) Radon measure Real structure Riemann sphere Serre duality Several complex variables Sheaf (mathematics) Sheaf cohomology Singular integral Sobolev space Special case Submanifold Subsequence Subset Summation Tangent bundle Theorem Topology of uniform convergence Topology Transitive relation Transpose Transversal (geometry) Uniform convergence Uniqueness theorem Vanish at infinity Variable (mathematics) Vector bundle Vector field Wave front set |
| ISBN | 1-4008-8256-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- 0.1 BACKGROUND ON SHEAVES OF VECTOR SPACES OVER A MANIFOLD -- 0.2 BACKGROUND ON SHEAF COHOMOLOGY -- CHAPTER I. HYPERFUNCTION S IN A MAXIMAL HYPO-ANALYTIC STRUCTURE -- CHAPTER II. MICROLOCAL THEORY OF HYPERFUNCTIONS ON A MAXIMALLY REAL SUBMANIFOLD OF COMPLEX SPACE -- CHAPTER III. HYPERFUNCTION SOLUTIONS IN A HYPO-ANALYTIC MANIFOLD -- CHAPTER IV. TRANSVERSAL SMOOTHNESS OF HYPERFUNCTION SOLUTIONS -- HISTORICAL NOTES -- BIBLIOGRAPHICAL REFERENCES -- INDEX OF TERMS |
| Record Nr. | UNINA-9910154744403321 |
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Cordaro Paulo
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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The hypoelliptic Laplacian and Ray-Singer metrics [[electronic resource] /] / Jean-Michel Bismut, Gilles Lebeau
| 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 |
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Bismut Jean-Michel
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| Princeton, : Princeton University Press, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Jump SDEs and the Study of Their Densities : A Self-Study Book / Arturo Kohatsu-Higa, Atsushi Takeuchi
| Jump SDEs and the Study of Their Densities : A Self-Study Book / Arturo Kohatsu-Higa, Atsushi Takeuchi |
| Autore | Kohatsu-Higa, Arturo |
| Pubbl/distr/stampa | Singapore, : Springer, 2019 |
| Descrizione fisica | xix, 355 p. ; 24 cm |
| Altri autori (Persone) | Takeuchi, Atsushi |
| Soggetto topico |
60Hxx - Stochastic analysis [MSC 2020]
60J74 - Jump processes on discrete state spaces [MSC 2020] 60Gxx - Stochastic processes [MSC 2020] 60-XX - Probability theory and stochastic processes [MSC 2020] 60J76 - Jump processes on general state spaces [MSC 2020] |
| Soggetto non controllato |
Calculus of variations
Densities of random variables Integration by parts Jump Processes Partial differential equations Stochastic Calculus |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0127315 |
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Kohatsu-Higa, Arturo
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| Singapore, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Markov processes from K. Itô's perspective / / Daniel W. Stroock
| Markov processes from K. Itô's perspective / / Daniel W. Stroock |
| Autore | Stroock Daniel W. |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 519.2/33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Markov processes
Stochastic difference equations |
| Soggetto non controllato |
Abelian group
Addition Analytic function Approximation Bernhard Riemann Bounded variation Brownian motion Central limit theorem Change of variables Coefficient Complete metric space Compound Poisson process Continuous function (set theory) Continuous function Convergence of measures Convex function Coordinate system Corollary David Hilbert Decomposition theorem Degeneracy (mathematics) Derivative Diffeomorphism Differentiable function Differentiable manifold Differential equation Differential geometry Dimension Directional derivative Doob–Meyer decomposition theorem Duality principle Elliptic operator Equation Euclidean space Existential quantification Fourier transform Function space Functional analysis Fundamental solution Fundamental theorem of calculus Homeomorphism Hölder's inequality Initial condition Integral curve Integral equation Integration by parts Invariant measure Itô calculus Itô's lemma Joint probability distribution Lebesgue measure Linear interpolation Lipschitz continuity Local martingale Logarithm Markov chain Markov process Markov property Martingale (probability theory) Normal distribution Ordinary differential equation Ornstein–Uhlenbeck process Polynomial Principal part Probability measure Probability space Probability theory Pseudo-differential operator Radon–Nikodym theorem Representation theorem Riemann integral Riemann sum Riemann–Stieltjes integral Scientific notation Semimartingale Sign (mathematics) Special case Spectral sequence Spectral theory State space State-space representation Step function Stochastic calculus Stochastic Stratonovich integral Submanifold Support (mathematics) Tangent space Tangent vector Taylor's theorem Theorem Theory Topological space Topology Translational symmetry Uniform convergence Variable (mathematics) Vector field Weak convergence (Hilbert space) Weak topology |
| ISBN |
0-691-11542-7
1-4008-3557-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index |
| Record Nr. | UNINA-9910791958803321 |
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Stroock Daniel W.
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Markov processes from K. Itô's perspective / / Daniel W. Stroock
| Markov processes from K. Itô's perspective / / Daniel W. Stroock |
| Autore | Stroock Daniel W. |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 |
| Descrizione fisica | 1 online resource (289 p.) |
| Disciplina | 519.2/33 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Markov processes
Stochastic difference equations |
| Soggetto non controllato |
Abelian group
Addition Analytic function Approximation Bernhard Riemann Bounded variation Brownian motion Central limit theorem Change of variables Coefficient Complete metric space Compound Poisson process Continuous function (set theory) Continuous function Convergence of measures Convex function Coordinate system Corollary David Hilbert Decomposition theorem Degeneracy (mathematics) Derivative Diffeomorphism Differentiable function Differentiable manifold Differential equation Differential geometry Dimension Directional derivative Doob–Meyer decomposition theorem Duality principle Elliptic operator Equation Euclidean space Existential quantification Fourier transform Function space Functional analysis Fundamental solution Fundamental theorem of calculus Homeomorphism Hölder's inequality Initial condition Integral curve Integral equation Integration by parts Invariant measure Itô calculus Itô's lemma Joint probability distribution Lebesgue measure Linear interpolation Lipschitz continuity Local martingale Logarithm Markov chain Markov process Markov property Martingale (probability theory) Normal distribution Ordinary differential equation Ornstein–Uhlenbeck process Polynomial Principal part Probability measure Probability space Probability theory Pseudo-differential operator Radon–Nikodym theorem Representation theorem Riemann integral Riemann sum Riemann–Stieltjes integral Scientific notation Semimartingale Sign (mathematics) Special case Spectral sequence Spectral theory State space State-space representation Step function Stochastic calculus Stochastic Stratonovich integral Submanifold Support (mathematics) Tangent space Tangent vector Taylor's theorem Theorem Theory Topological space Topology Translational symmetry Uniform convergence Variable (mathematics) Vector field Weak convergence (Hilbert space) Weak topology |
| ISBN |
0-691-11542-7
1-4008-3557-7 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter 1. Finite State Space, a Trial Run -- Chapter 2. Moving to Euclidean Space, the Real Thing -- Chapter 3. Itô's Approach in the Euclidean Setting -- Chapter 4. Further Considerations -- Chapter 5. Itô's Theory of Stochastic Integration -- Chapter 6. Applications of Stochastic Integration to Brownian Motion -- Chapter 7. The Kunita-Watanabe Extension -- Chapter 8. Stratonovich's Theory -- Notation -- References -- Index |
| Record Nr. | UNINA-9910809577703321 |
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Stroock Daniel W.
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| Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips
| Scattering Theory for Automorphic Functions. (AM-87), Volume 87 / / Peter D. Lax, Ralph S. Phillips |
| Autore | Lax Peter D. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (313 pages) |
| Disciplina | 515.9 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Automorphic functions
Scattering (Mathematics) |
| Soggetto non controllato |
Absolute continuity
Algebra Analytic continuation Analytic function Annulus (mathematics) Asymptotic distribution Automorphic function Bilinear form Boundary (topology) Boundary value problem Bounded operator Calculation Cauchy sequence Change of variables Complex plane Conjugacy class Convolution Cusp neighborhood Cyclic group Derivative Differential equation Differential operator Dimension (vector space) Dimensional analysis Dirichlet integral Dirichlet series Eigenfunction Eigenvalues and eigenvectors Eisenstein series Elliptic operator Elliptic partial differential equation Equation Equivalence class Even and odd functions Existential quantification Explicit formula Explicit formulae (L-function) Exponential function Fourier transform Function space Functional analysis Functional calculus Fundamental domain Harmonic analysis Hilbert space Hyperbolic partial differential equation Infinitesimal generator (stochastic processes) Integral equation Integration by parts Invariant subspace Laplace operator Laplace transform Lebesgue measure Linear differential equation Linear space (geometry) Matrix (mathematics) Maximum principle Meromorphic function Modular group Neumann boundary condition Norm (mathematics) Null vector Number theory Operator theory Orthogonal complement Orthonormal basis Paley–Wiener theorem Partial differential equation Perturbation theory (quantum mechanics) Perturbation theory Primitive element (finite field) Principal component analysis Projection (linear algebra) Quadratic form Removable singularity Representation theorem Resolvent set Riemann hypothesis Riemann surface Riemann zeta function Riesz representation theorem Scatter matrix Scattering theory Schwarz reflection principle Selberg trace formula Self-adjoint Semigroup Sign (mathematics) Spectral theory Subgroup Subsequence Summation Support (mathematics) Theorem Trace class Trace formula Unitary operator Wave equation Weighted arithmetic mean Winding number |
| ISBN | 1-4008-8156-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- TABLE OF CONTENTS -- PREFACE -- LIST OF SYMBOLS -- §1. INTRODUCTION -- §2. AN ABSTRACT SCATTERING THEORY -- §3. A MODIFIED THEORY FOR SECOND ORDER EQUATIONS WITH AN INDEFINITE ENERGY FORM -- §4. THE LAPLACE-BELTRAMI OPERATOR FOR THE MODULAR GROUP -- §5. THE AUTOMORPHIC WAVE EQUATIONS -- §6. INCOMING AND OUTGOING SUBSPACES FOR THE AUTOMORPHIC WAVE EQUATION -- §7. THE SCATTERING MATRIX FOR THE AUTOMORPHIC WAVE EQUATION -- §8. THE GENERAL CASE -- §9. THE SELBERG TRACE FORMULA -- REFERENCES -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154746703321 |
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Lax Peter D.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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