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Analysis on Lie groups : an introduction / / Jacques Faraut [[electronic resource]]
| Analysis on Lie groups : an introduction / / Jacques Faraut [[electronic resource]] |
| Autore | Faraut Jacques <1940-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2008 |
| Descrizione fisica | 1 online resource (x, 302 pages) : digital, PDF file(s) |
| Disciplina | 512/.482 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico |
Lie groups
Lie algebras |
| ISBN |
1-107-17398-1
1-281-77553-3 9786611775537 0-511-42350-0 0-511-42230-X 0-511-42398-5 0-511-42164-8 0-511-75517-1 0-511-42296-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group. |
| Record Nr. | UNINA-9910453780403321 |
Faraut Jacques <1940->
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| Cambridge : , : Cambridge University Press, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis on Lie groups : an introduction / / Jacques Faraut [[electronic resource]]
| Analysis on Lie groups : an introduction / / Jacques Faraut [[electronic resource]] |
| Autore | Faraut Jacques <1940-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2008 |
| Descrizione fisica | 1 online resource (x, 302 pages) : digital, PDF file(s) |
| Disciplina | 512/.482 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico |
Lie groups
Lie algebras |
| ISBN |
1-107-17398-1
1-281-77553-3 9786611775537 0-511-42350-0 0-511-42230-X 0-511-42398-5 0-511-42164-8 0-511-75517-1 0-511-42296-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group. |
| Record Nr. | UNINA-9910782588003321 |
|
Faraut Jacques <1940->
|
||
| Cambridge : , : Cambridge University Press, , 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis on Lie groups : an introduction / / Jacques Faraut
| Analysis on Lie groups : an introduction / / Jacques Faraut |
| Autore | Faraut Jacques <1940-> |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Cambridge, UK ; ; New York, : Cambridge University Press, 2008 |
| Descrizione fisica | 1 online resource (x, 302 pages) : digital, PDF file(s) |
| Disciplina | 512/.482 |
| Collana | Cambridge studies in advanced mathematics |
| Soggetto topico |
Lie groups
Lie algebras |
| ISBN |
9786611775537
9781107173989 1107173981 9781281775535 1281775533 9780511423505 0511423500 9780511422300 051142230X 9780511423987 0511423985 9780511421648 0511421648 9780511755170 0511755171 9780511422966 0511422962 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The linear group -- The exponential map -- Linear Lie groups -- Lie algebras -- Haar measure -- Representations of compact groups -- The groups SU(2) and SO(3), Haar measure -- Analysis on the group SU(2) -- Analysis on the sphere and the Euclidean space -- Analysis on the spaces of symmetric and Hermitian matrices -- Irreducible representations of the unitary group -- Analysis on the unitary group. |
| Record Nr. | UNINA-9910965251603321 |
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Faraut Jacques <1940->
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||
| Cambridge, UK ; ; New York, : Cambridge University Press, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A Bridge Between Lie Theory and Frame Theory : Applications of Lie Theory to Harmonic Analysis
| A Bridge Between Lie Theory and Frame Theory : Applications of Lie Theory to Harmonic Analysis |
| Autore | Oussa Vignon |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Newark : , : John Wiley & Sons, Incorporated, , 2025 |
| Descrizione fisica | 1 online resource (599 pages) |
| Disciplina | 512/.482 |
| Soggetto topico |
Frames (Vector analysis)
Lie groups Geometry, Differential Harmonic analysis |
| ISBN |
9781119712145
1119712149 9781119712169 1119712165 9781119712152 1119712157 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title Page -- Copyright -- Contents -- Preface -- Acknowledgments -- Chapter 1 Introduction -- 1.1 Organization of the Book -- 1.2 Proficiency Expectations -- 1.3 Aims -- 1.4 Scope and Material Selection -- 1.5 Catering to Diverse Learning Approaches and Expertise Levels -- References -- Chapter 2 Differentiable Manifolds -- 2.1 Calculus on Euclidean Space -- 2.1.1 The Inverse Function Theorem and Its Applications -- 2.1.1.1 The Implicit Function and Constant Rank Theorems -- 2.2 Topological Manifolds -- 2.2.1 Differentiable Structures -- 2.2.2 Submanifolds -- 2.2.3 Derivations -- 2.2.4 Tangent Vectors -- 2.2.4.1 Tangent Vector As Equivalent Classes of Smooth Curves -- 2.2.4.2 Tangent Vectors As Derivations at a Point -- 2.2.5 Tangent Bundles -- 2.2.6 1‐Forms -- 2.2.7 Pull‐Backs -- 2.2.8 Tensor Fields -- References -- Chapter 3 Lie Theory -- 3.1 Lie Derivatives -- 3.2 Lie Groups and Lie Algebras -- 3.2.1 Lie Groups and Examples -- 3.2.2 Left and Right Translations -- 3.2.3 Lie Algebras -- 3.3 Exponential Map -- 3.4 Invariant Measure on Lie Groups -- 3.5 Homogeneous Spaces -- 3.6 Matrix Lie Theory -- 3.6.1 The Adjoint Maps -- 3.6.1.1 Lie's Theorem -- 3.7 Construction of Spline‐Type Partitions of Unity -- References -- Chapter 4 Representation Theory -- 4.1 Representations of Lie Groups and Lie Algebras -- 4.2 A Survey on the Theory of Direct Integrals -- 4.3 Induced Representations -- 4.3.1 Quasi‐invariant Measures on Cosets -- 4.3.2 Induced Unitary Characters -- 4.4 Integrability of Induced Characters -- References -- Chapter 5 Frame Theory -- 5.1 Series Expansions in Hilbert Spaces -- 5.2 Riesz Bases -- 5.3 Frames -- References -- Chapter 6 Frames on Euclidean Spaces -- 6.1 Wavelets and the ax+b Group -- 6.1.1 The Wavelet Representation -- 6.2 Gabor Systems and the Heisenberg Group -- References -- Chapter 7 Frames on Lie Groups.
7.1 Discretization of Induced Characters -- 7.1.1 Connection to Wavelet Theory and Time‐Frequency Analysis -- 7.1.2 A Toy Example -- 7.1.3 Proofs of Main Results -- 7.2 Localized Frames on Matrix Lie Groups -- 7.3 A Generalization -- References -- Chapter 8 Frames on Homogeneous Spaces -- 8.1 Localized Frames on Homogeneous Spaces -- 8.2 Frames on Spheres -- 8.3 Frames on the Klein Bottle -- References -- Chapter 9 Groups with Frames of Translates -- 9.1 Frames and Bases of Translates on the ax+b Lie Group -- References -- Chapter 10 Sampling and Interpolation on Unimodular Lie Groups -- 10.1 Admissible Representations -- 10.2 Gröchenig-Führ's Method of Oscillations -- 10.3 Sampling on Locally Compact Groups -- 10.4 Bandlimitation for Extensions of Rn -- 10.4.1 The Mautner Group and Its Relatives -- 10.4.2 Bandlimitation on a Class of Lie Groups -- 10.4.2.1 Spectral Analysis of Induced Representations -- References -- Chapter 11 Finite Frames Maximally Robust to Erasures -- 11.1 Inductive Construction of All Complex n‐Frames -- 11.2 Infinite Singly Generated Subgroups of Un -- 11.3 Random Sampling -- References -- Index -- EULA. |
| Record Nr. | UNINA-9911019626503321 |
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Oussa Vignon
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| Newark : , : John Wiley & Sons, Incorporated, , 2025 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Character identities in the twisted endoscopy of real reductive groups / / Paul Mezo
| Character identities in the twisted endoscopy of real reductive groups / / Paul Mezo |
| Autore | Mezo Paul <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (94 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of Lie algebras
Representations of Lie groups Algebraic number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9507-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Notation""; ""Chapter 3. The foundations of real twisted endoscopy""; ""Chapter 4. The Local Langlands Correspondence""; ""Chapter 5. Tempered essentially square-integrable representations""; ""Chapter 6. Spectral transfer for essentially square-integrable representations""; ""Chapter 7. Spectral transfer for limits of discrete series""; ""Appendix A. Parabolic descent for geometric transfer factors""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910480416903321 |
|
Mezo Paul <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Character identities in the twisted endoscopy of real reductive groups / / Paul Mezo
| Character identities in the twisted endoscopy of real reductive groups / / Paul Mezo |
| Autore | Mezo Paul <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (94 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of Lie algebras
Representations of Lie groups Algebraic number theory |
| ISBN | 0-8218-9507-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Notation""; ""Chapter 3. The foundations of real twisted endoscopy""; ""Chapter 4. The Local Langlands Correspondence""; ""Chapter 5. Tempered essentially square-integrable representations""; ""Chapter 6. Spectral transfer for essentially square-integrable representations""; ""Chapter 7. Spectral transfer for limits of discrete series""; ""Appendix A. Parabolic descent for geometric transfer factors""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910796037103321 |
|
Mezo Paul <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Character identities in the twisted endoscopy of real reductive groups / / Paul Mezo
| Character identities in the twisted endoscopy of real reductive groups / / Paul Mezo |
| Autore | Mezo Paul <1968-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2012 |
| Descrizione fisica | 1 online resource (94 p.) |
| Disciplina | 512/.482 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Representations of Lie algebras
Representations of Lie groups Algebraic number theory |
| ISBN | 0-8218-9507-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Notation""; ""Chapter 3. The foundations of real twisted endoscopy""; ""Chapter 4. The Local Langlands Correspondence""; ""Chapter 5. Tempered essentially square-integrable representations""; ""Chapter 6. Spectral transfer for essentially square-integrable representations""; ""Chapter 7. Spectral transfer for limits of discrete series""; ""Appendix A. Parabolic descent for geometric transfer factors""; ""Bibliography""; ""Index"" |
| Record Nr. | UNINA-9910812536803321 |
|
Mezo Paul <1968->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics of minuscule representations / / R.M. Green, University of Colorado, Denver [[electronic resource]]
| Combinatorics of minuscule representations / / R.M. Green, University of Colorado, Denver [[electronic resource]] |
| Autore | Green R. M. <1971-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (vii, 320 pages) : digital, PDF file(s) |
| Disciplina | 512/.482 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Representations of Lie algebras
Combinatorial analysis |
| ISBN |
1-107-23652-5
1-107-30576-4 1-107-30160-2 1-107-30669-8 1-107-30889-5 1-107-31224-8 1-299-00906-9 1-107-31444-5 1-139-20700-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Classical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures. |
| Record Nr. | UNINA-9910463356103321 |
|
Green R. M. <1971->
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||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics of minuscule representations / / R.M. Green, University of Colorado, Denver [[electronic resource]]
| Combinatorics of minuscule representations / / R.M. Green, University of Colorado, Denver [[electronic resource]] |
| Autore | Green R. M. <1971-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (vii, 320 pages) : digital, PDF file(s) |
| Disciplina | 512/.482 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Representations of Lie algebras
Combinatorial analysis |
| ISBN |
1-107-23652-5
1-107-30576-4 1-107-30160-2 1-107-30669-8 1-107-30889-5 1-107-31224-8 1-299-00906-9 1-107-31444-5 1-139-20700-8 |
| Classificazione | MAT002000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Classical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures. |
| Record Nr. | UNINA-9910786160003321 |
|
Green R. M. <1971->
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorics of minuscule representations / / R.M. Green, University of Colorado, Denver [[electronic resource]]
| Combinatorics of minuscule representations / / R.M. Green, University of Colorado, Denver [[electronic resource]] |
| Autore | Green R. M. <1971-> |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2013 |
| Descrizione fisica | 1 online resource (vii, 320 pages) : digital, PDF file(s) |
| Disciplina | 512/.482 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Representations of Lie algebras
Combinatorial analysis |
| ISBN |
1-107-23652-5
1-107-30576-4 1-107-30160-2 1-107-30669-8 1-107-30889-5 1-107-31224-8 1-299-00906-9 1-107-31444-5 1-139-20700-8 |
| Classificazione | MAT002000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Classical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures. |
| Record Nr. | UNINA-9910809560003321 |
|
Green R. M. <1971->
|
||
| Cambridge : , : Cambridge University Press, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
