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Hardy Inequalities on Homogeneous Groups [[electronic resource] ] : 100 Years of Hardy Inequalities / / by Michael Ruzhansky, Durvudkhan Suragan
Hardy Inequalities on Homogeneous Groups [[electronic resource] ] : 100 Years of Hardy Inequalities / / by Michael Ruzhansky, Durvudkhan Suragan
Autore Ruzhansky Michael
Edizione [1st ed. 2019.]
Pubbl/distr/stampa Cham, : Springer Nature, 2019
Descrizione fisica 1 online resource (XVI, 571 p. 1 illus.)
Disciplina 512.55
512.482
Collana Progress in Mathematics
Soggetto topico Topological groups
Lie groups
Potential theory (Mathematics)
Partial differential equations
Harmonic analysis
Functional analysis
Differential geometry
Topological Groups, Lie Groups
Potential Theory
Partial Differential Equations
Abstract Harmonic Analysis
Functional Analysis
Differential Geometry
Soggetto non controllato Mathematics
Topological groups
Lie groups
Potential theory (Mathematics)
Partial differential equations
Harmonic analysis
Functional analysis
Differential geometry
ISBN 3-030-02895-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction -- Analysis on Homogeneous Groups -- Hardy Inequalities on Homogeneous Groups -- Rellich, Caarelli-Kohn-Nirenberg, and Sobolev Type Inequalities -- Fractional Hardy Inequalities -- Integral Hardy Inequalities on Homogeneous Groups -- Horizontal Inequalities on Stratied Groups -- Hardy-Rellich Inequalities and Fundamental Solutions -- Geometric Hardy Inequalities on Stratied Groups -- Uncertainty Relations on Homogeneous Groups -- Function Spaces on Homogeneous Groups -- Elements of Potential Theory on Stratified Groups -- Hardy and Rellich Inequalities for Sums of Squares -- Bibliography -- Index.
Record Nr. UNINA-9910349351603321
Ruzhansky Michael  
Cham, : Springer Nature, 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Harmonic Analysis on Exponential Solvable Lie Groups [[electronic resource] /] / by Hidenori Fujiwara, Jean Ludwig
Harmonic Analysis on Exponential Solvable Lie Groups [[electronic resource] /] / by Hidenori Fujiwara, Jean Ludwig
Autore Fujiwara Hidenori
Edizione [1st ed. 2015.]
Pubbl/distr/stampa Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015
Descrizione fisica 1 online resource (468 p.)
Disciplina 515.2433
Collana Springer Monographs in Mathematics
Soggetto topico Topological groups
Lie groups
Harmonic analysis
Functional analysis
Topological Groups, Lie Groups
Abstract Harmonic Analysis
Functional Analysis
ISBN 4-431-55288-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Contents; 1 Preliminaries: Lie Groups and Lie Algebras; 1.1 Lie Groups and Lie Algebras; 1.2 Enveloping Algebra; 1.3 Unitary Representations; 2 Haar Measure and Group Algebra; 2.1 The Haar Measure of a Locally Compact Group; 2.2 The Group Algebra; 2.3 Representations; 3 Induced Representations; 3.1 Measures on Quotient Spaces; 3.2 Definition of an Induced Representation; 3.3 Conjugation of Induced Representations; 3.4 The Imprimitivity Theorem; 4 Four Exponential Solvable Lie Groups; 4.1 The Group Rn; 4.2 The Heisenberg Group; 4.2.1 Induced Representations; 4.3 The ``ax +b '' Group
4.3.1 Induced Representations4.3.2 The Plancherel Theorem; 4.3.3 dπ for the Enveloping Algebra; 4.4 Grélaud's Group; 4.4.1 Induced Representations; 4.4.2 dπμ for the Enveloping Algebra; 4.4.3 The Imprimitivity Theorem for Grélaud's Group; 4.4.4 The Plancherel Theorem; 5 Orbit Method; 5.1 Auslander-Kostant Theory; 5.2 Exponential Solvable Lie Groups; 5.2.1 Co-exponential Sequence; 5.2.2 The Exponential Mapping for Solvable Lie Groups; 5.3 Kirillov-Bernat Mapping; 5.4 Pukanszky Condition; 6 Kirillov Theory for Nilpotent Lie Groups; 6.1 Jordan-Hölder and Malcev Sequences
6.1.1 Unipotent Representations6.1.2 Polynomial Vector Groups; 6.1.3 Unipotent Orbits; 6.2 Schwartz Spaces; 6.3 Intertwining Operator for Irreducible Representations; 6.4 Traces and Plancherel Theorem; 6.5 Parametrization of All Orbits; 7 Holomorphically Induced Representations ρ(f,h,G) for Exponential Solvable Lie Groups; 7.1 First Trial; 7.2 Exponential j-Algebras; 7.3 Exponential Kähler Algebras; 7.4 Structure of Positive Polarizations; 7.5 Non-vanishing of H(f,h,G); 7.6 Irreducibility and Equivalence of ρ(f,h,G); 7.7 Decomposition of ρ(f,h,G); 8 Irreducible Decomposition
8.1 Monomial Representations8.2 Restriction of Unitary Representations to Subgroups; 9 e-Central Elements; 9.1 Fundamental Result of Corwin and Greenleaf; 9.2 Monomial Representations and e-Central Elements; 10 Frobenius Reciprocity; 10.1 Frobenius Reciprocity in Distribution Version; 10.2 Realization of the Reciprocity in Nilpotent Case; 10.3 Examples of Semi-invariant Distributions; 11 Plancherel Formula; 11.1 Penney's Plancherel Formula; 11.2 Vergne's Decomposition Theorem; 11.3 Examples of Penney's Plancherel Formula; 11.4 Bonnet's Plancherel Formula
12 Commutativity Conjecture: Induction Case12.1 Toward the Commutativity Conjecture; 12.2 Corwin-Greenleaf Functions; Key Lemmas; 12.3 Proof of the Commutativity Conjecture; 13 Commutativity Conjecture: Restriction Case; 13.1 Kernel of Representation; 13.2 Commutativity of the Algebra Dπ(G)K; 13.3 Commutativity of the Centralizer of Lie Subalgebras; References; List of Notations; Index
Record Nr. UNINA-9910299762903321
Fujiwara Hidenori  
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane [[electronic resource] /] / by Audrey Terras
Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane [[electronic resource] /] / by Audrey Terras
Autore Terras Audrey
Edizione [2nd ed. 2013.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Descrizione fisica 1 online resource (430 p.)
Disciplina 515.2433
Soggetto topico Harmonic analysis
Fourier analysis
Group theory
Topological groups
Lie groups
Functions of complex variables
Special functions
Abstract Harmonic Analysis
Fourier Analysis
Group Theory and Generalizations
Topological Groups, Lie Groups
Functions of a Complex Variable
Special Functions
ISBN 1-4614-7972-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Chapter 1 Flat Space. Fourier Analysis on R^m. -- 1.1 Distributions or Generalized Functions -- 1.2 Fourier Integrals -- 1.3 Fourier Series and the Poisson Summation Formula -- 1.4 Mellin Transforms, Epstein and Dedekind Zeta Functions -- 1.5 Finite Symmetric Spaces, Wavelets, Quasicrystals, Weyl’s Criterion for Uniform Distribution -- Chapter 2 A Compact Symmetric Space--The Sphere -- 2.1 Fourier Analysis on the Sphere -- 2.2 O(3) and R^3. The Radon Transform -- Chapter 3 The Poincaré Upper Half-Plane -- 3.1 Hyperbolic Geometry -- 3.2 Harmonic Analysis on H -- 3.3 Fundamental Domains for Discrete Subgroups Γ of G = SL(2, R) -- 3.4 Modular of Automorphic Forms--Classical -- 3.5 Automorphic Forms--Not So Classical--Maass Waveforms -- 3.6 Modular Forms and Dirichlet Series. Hecke Theory and Generalizations -- References -- Index.
Record Nr. UNINA-9910438034603321
Terras Audrey  
New York, NY : , : Springer New York : , : Imprint : Springer, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Harmonic and Applied Analysis [[electronic resource] ] : From Groups to Signals / / edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate
Harmonic and Applied Analysis [[electronic resource] ] : From Groups to Signals / / edited by Stephan Dahlke, Filippo De Mari, Philipp Grohs, Demetrio Labate
Edizione [1st ed. 2015.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015
Descrizione fisica 1 online resource (268 p.)
Disciplina 515.2433
Collana Applied and Numerical Harmonic Analysis
Soggetto topico Harmonic analysis
Fourier analysis
Group theory
Topological groups
Lie groups
Signal processing
Image processing
Speech processing systems
Abstract Harmonic Analysis
Fourier Analysis
Group Theory and Generalizations
Topological Groups, Lie Groups
Signal, Image and Speech Processing
ISBN 3-319-18863-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto From Group Representations to Signal Analysis -- The Use of Representations in Applied Harmonic Analysis -- Shearlet Coorbit Theory -- Efficient Analysis and Detection of Edges through Directional Multiscale Representations -- Optimally Sparse Data Representations.
Record Nr. UNINA-9910300248403321
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Harmonic Functions on Groups and Fourier Algebras [[electronic resource] /] / by Cho-Ho Chu, Anthony To-Ming Lau
Harmonic Functions on Groups and Fourier Algebras [[electronic resource] /] / by Cho-Ho Chu, Anthony To-Ming Lau
Autore Chu Cho-Ho
Edizione [1st ed. 2002.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Descrizione fisica 1 online resource (VII, 100 p.)
Disciplina 515.53
Collana Lecture Notes in Mathematics
Soggetto topico Harmonic analysis
Potential theory (Mathematics)
Integral equations
Topological groups
Lie groups
Functional analysis
Functions of complex variables
Abstract Harmonic Analysis
Potential Theory
Integral Equations
Topological Groups, Lie Groups
Functional Analysis
Several Complex Variables and Analytic Spaces
ISBN 3-540-47793-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction -- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples -- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals -- References -- List of symbols -- Index.
Record Nr. UNINA-9910144942603321
Chu Cho-Ho  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Harmonic Functions on Groups and Fourier Algebras [[electronic resource] /] / by Cho-Ho Chu, Anthony To-Ming Lau
Harmonic Functions on Groups and Fourier Algebras [[electronic resource] /] / by Cho-Ho Chu, Anthony To-Ming Lau
Autore Chu Cho-Ho
Edizione [1st ed. 2002.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Descrizione fisica 1 online resource (VII, 100 p.)
Disciplina 515.53
Collana Lecture Notes in Mathematics
Soggetto topico Harmonic analysis
Potential theory (Mathematics)
Integral equations
Topological groups
Lie groups
Functional analysis
Functions of complex variables
Abstract Harmonic Analysis
Potential Theory
Integral Equations
Topological Groups, Lie Groups
Functional Analysis
Several Complex Variables and Analytic Spaces
ISBN 3-540-47793-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction -- 2. Harmonic functions on locally compact groups: 2.1. Preliminaries and notation. 2.2. Poisson representation of harmonic functions. 2.3. Semigroup structures of the Poisson space. 2.4. Almost periodic harmonic functions. 2.5. Distal harmonic functions. 2.6. Transitive group actions on Poisson spaces. 2.7. Examples -- 3. Harmonic functionals on Fourier algebras: 3.1. Fourier algebras. 3.2. Harmonic functionals and associated ideals. 3.3. Jordan structures of harmonic functionals. 3.4. Classification of harmonic functionals -- References -- List of symbols -- Index.
Record Nr. UNISA-996466603203316
Chu Cho-Ho  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2002
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Hypercomplex Analysis: New Perspectives and Applications [[electronic resource] /] / edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
Hypercomplex Analysis: New Perspectives and Applications [[electronic resource] /] / edited by Swanhild Bernstein, Uwe Kähler, Irene Sabadini, Frank Sommen
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014
Descrizione fisica 1 online resource (228 p.)
Disciplina 515.9
Collana Trends in Mathematics
Soggetto topico Functions of complex variables
Topological groups
Lie groups
Computer mathematics
Functions of a Complex Variable
Topological Groups, Lie Groups
Several Complex Variables and Analytic Spaces
Computational Science and Engineering
ISBN 3-319-08771-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Preface""; ""Symmetries and Associated Pairs in Quaternionic Analysis""; ""1. Motivation and basic facts of quaternionic analysis""; ""2. Necessary and sufficient conditions for associated pairs""; ""3. First-order symmetries of the generalized Cauchy�Riemann operator""; ""4. Endomorphisms over the quaternions""; ""Acknowledgment""; ""References""; ""Generalized Quaternionic Schur Functions in the Ball and Half-space and Krein�Langer Factorization""; ""1. Introduction""; ""1.1. Some history""; ""1.2. The slice hyperholomorphic case""; ""2. A survey of the classical case""
""3. Slice hyperholomorphic functions and Blaschke products""""4. Some results from quaternionic functional analysis""; ""5. Generalized Schur functions and their realizations""; ""6. The factorization theorem""; ""7. The case of the half-space""; ""References""; ""The Fock Space in the Slice Hyperholomorphic Setting""; ""1. Introduction""; ""2. A brief survey of infinite-dimensional analysis""; ""3. The Fock space in the slice regular case""; ""4. Quaternion full Fock space and symmetric Fock space""; ""5. The slice monogenic case""; ""References""
""Multi Mq-monogenic Function in Different Dimension""""1. Introduction""; ""2. Separately holomorphic and monogenic functions""; ""3. Clifford-algebra-valued functions in several variables""; ""4. Associated algebra of Clifford type 1""; ""4.1. Decomposition of the q-Cauchy�Riemann system""; ""5. Example 1""; ""6. Associated algebra of Clifford type 2""; ""7. Example 2""; ""8. Definition of separately Mq-monogenic functions""; ""9. Conclusions""; ""Acknowledgment""; ""References""; ""The Fractional Monogenic Signal""; ""1. Introduction""; ""2. Preliminaries""; ""2.1. Quaternions""
""2.1.1. Real quaternions.""""2.1.2. Complex quaternions.""; ""2.2. Rotations""; ""2.3. Quaternionic analysis""; ""2.3.1. Dirac operator.""; ""2.3.2. Integral formulae.""; ""2.3.3. Hardy spaces.""; ""3. The analytic signal""; ""3.1. Hilbert transform""; ""3.2. Fractional Hilbert operator and analytic fractional signal""; ""4. The fractional Riesz operator""; ""4.1. The isoclinic fractional Riesz transform""; ""4.2. Properties of the fractional Riesz operator""; ""5. Fractional monogenic signal""; ""5.1. Properties of the fractional monogenic signal""; ""6. Concluding remarks""; ""References""
""Weighted Bergman Spaces""""1. Introduction""; ""2. The α-Bloch�Bergman space""; ""3. Properties of A and L(p,q,s)""; ""5. Strict inclusions of the spaces A(p,q,s)""; ""6. F(p,q,s) and A spaces""; ""7. Carleson measures""; ""Acknowledgment""; ""References""; ""On Appell Sets and Verma Modules for sl(2)""; ""1. Introduction""; ""2. Appell sets in Verma modules for sl(2)""; ""3. Hermite bases in Verma modules for sl(2)""; ""References""; ""Integral Formulas for k-hypermonogenic Functions in R3""; ""1. Introduction""; ""2. Preliminaries""
""3. Integral formulas for k-hypermonogenic functions""
Record Nr. UNINA-9910299984603321
Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu
Autore Marsden Jerrold E
Edizione [Second Edition.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Descrizione fisica 1 online resource (XVIII, 586 p.)
Disciplina 530.1
Collana Texts in Applied Mathematics
Soggetto topico Physics
Topological groups
Lie groups
Manifolds (Mathematics)
Complex manifolds
Theoretical, Mathematical and Computational Physics
Topological Groups, Lie Groups
Manifolds and Cell Complexes (incl. Diff.Topology)
ISBN 0-387-21792-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Introduction and Overview -- 2 Hamiltonian Systems on Linear Symplectic Spaces -- 3 An Introduction to Infinite-Dimensional Systems -- 4 Manifolds, Vector Fields, and Differential Forms -- 5 Hamiltonian Systems on Symplectic Manifolds -- 6 Cotangent Bundles -- 7 Lagrangian Mechanics -- 8 Variational Principles, Constraints, & Rotating Systems -- 9 An Introduction to Lie Groups -- 10 Poisson Manifolds -- 11 Momentum Maps -- 12 Computation and Properties of Momentum Maps -- 13 Lie—Poisson and Euler—Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References.
Record Nr. UNINA-9910480306603321
Marsden Jerrold E  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu
Autore Marsden Jerrold E
Edizione [Second Edition.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Descrizione fisica 1 online resource (XVIII, 586 p.)
Disciplina 530.1
Collana Texts in Applied Mathematics
Soggetto topico Physics
Topological groups
Lie groups
Manifolds (Mathematics)
Complex manifolds
Theoretical, Mathematical and Computational Physics
Topological Groups, Lie Groups
Manifolds and Cell Complexes (incl. Diff.Topology)
ISBN 0-387-21792-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Introduction and Overview -- 2 Hamiltonian Systems on Linear Symplectic Spaces -- 3 An Introduction to Infinite-Dimensional Systems -- 4 Manifolds, Vector Fields, and Differential Forms -- 5 Hamiltonian Systems on Symplectic Manifolds -- 6 Cotangent Bundles -- 7 Lagrangian Mechanics -- 8 Variational Principles, Constraints, & Rotating Systems -- 9 An Introduction to Lie Groups -- 10 Poisson Manifolds -- 11 Momentum Maps -- 12 Computation and Properties of Momentum Maps -- 13 Lie—Poisson and Euler—Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References.
Record Nr. UNINA-9910792479103321
Marsden Jerrold E  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu
Introduction to Mechanics and Symmetry [[electronic resource] ] : A Basic Exposition of Classical Mechanical Systems / / by Jerrold E. Marsden, Tudor S. Ratiu
Autore Marsden Jerrold E
Edizione [Second Edition.]
Pubbl/distr/stampa New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Descrizione fisica 1 online resource (XVIII, 586 p.)
Disciplina 530.1
Collana Texts in Applied Mathematics
Soggetto topico Physics
Topological groups
Lie groups
Manifolds (Mathematics)
Complex manifolds
Theoretical, Mathematical and Computational Physics
Topological Groups, Lie Groups
Manifolds and Cell Complexes (incl. Diff.Topology)
ISBN 0-387-21792-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1 Introduction and Overview -- 2 Hamiltonian Systems on Linear Symplectic Spaces -- 3 An Introduction to Infinite-Dimensional Systems -- 4 Manifolds, Vector Fields, and Differential Forms -- 5 Hamiltonian Systems on Symplectic Manifolds -- 6 Cotangent Bundles -- 7 Lagrangian Mechanics -- 8 Variational Principles, Constraints, & Rotating Systems -- 9 An Introduction to Lie Groups -- 10 Poisson Manifolds -- 11 Momentum Maps -- 12 Computation and Properties of Momentum Maps -- 13 Lie—Poisson and Euler—Poincaré Reduction -- 14 Coadjoint Orbits -- 15 The Free Rigid Body -- References.
Record Nr. UNINA-9910822844903321
Marsden Jerrold E  
New York, NY : , : Springer New York : , : Imprint : Springer, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui