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Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg
| Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg |
| Autore | Guillemin Victor <1937-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1966 |
| Descrizione fisica | 1 online resource (90 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Differential
Group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0011-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Â1. Introduction""; ""Â2. The language of jets""; ""Â3. The axioms on âŒ?""; ""Â4. The fundamental form""; ""Â5. The structural equation""; ""Â6. The second fundamental theorem""; ""Â7. Pseudogroup structures""; ""Â8. Deformations of âŒ?-structures""; ""Â9. The Spencer sequence""; ""Â10. An interpretation of the Spencer sequence in the special case of deformation theory""; ""Â11. Applications of the Spencer resolution to deformation theory""; ""Â12. Further remarks on deformation theory""; ""Â13. Almost structures""; ""Â14. Elliptic pseudogroups, the flat case""
""Â15. Elliptic pseudogroups in general""""Â16. The (second) Spencer sequence""; ""References"" |
| Record Nr. | UNINA-9910480694903321 |
Guillemin Victor <1937->
|
||
| Providence : , : American Mathematical Society, , 1966 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg
| Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg |
| Autore | Guillemin Victor <1937-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1966 |
| Descrizione fisica | 1 online resource (90 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Differential
Group theory |
| ISBN | 1-4704-0011-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Â1. Introduction""; ""Â2. The language of jets""; ""Â3. The axioms on âŒ?""; ""Â4. The fundamental form""; ""Â5. The structural equation""; ""Â6. The second fundamental theorem""; ""Â7. Pseudogroup structures""; ""Â8. Deformations of âŒ?-structures""; ""Â9. The Spencer sequence""; ""Â10. An interpretation of the Spencer sequence in the special case of deformation theory""; ""Â11. Applications of the Spencer resolution to deformation theory""; ""Â12. Further remarks on deformation theory""; ""Â13. Almost structures""; ""Â14. Elliptic pseudogroups, the flat case""
""Â15. Elliptic pseudogroups in general""""Â16. The (second) Spencer sequence""; ""References"" |
| Record Nr. | UNINA-9910788602503321 |
|
Guillemin Victor <1937->
|
||
| Providence : , : American Mathematical Society, , 1966 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg
| Deformation theory of pseudogroup structures / / by Victor Guillemin and Shlomo Sternberg |
| Autore | Guillemin Victor <1937-> |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 1966 |
| Descrizione fisica | 1 online resource (90 p.) |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometry, Differential
Group theory |
| ISBN | 1-4704-0011-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Â1. Introduction""; ""Â2. The language of jets""; ""Â3. The axioms on âŒ?""; ""Â4. The fundamental form""; ""Â5. The structural equation""; ""Â6. The second fundamental theorem""; ""Â7. Pseudogroup structures""; ""Â8. Deformations of âŒ?-structures""; ""Â9. The Spencer sequence""; ""Â10. An interpretation of the Spencer sequence in the special case of deformation theory""; ""Â11. Applications of the Spencer resolution to deformation theory""; ""Â12. Further remarks on deformation theory""; ""Â13. Almost structures""; ""Â14. Elliptic pseudogroups, the flat case""
""Â15. Elliptic pseudogroups in general""""Â16. The (second) Spencer sequence""; ""References"" |
| Record Nr. | UNINA-9910811898303321 |
|
Guillemin Victor <1937->
|
||
| Providence : , : American Mathematical Society, , 1966 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric asymptotics / / by Victor Guillemin and Shlomo Sternberg
| Geometric asymptotics / / by Victor Guillemin and Shlomo Sternberg |
| Autore | Guillemin Victor <1937-> |
| Edizione | [Revised ed.] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 516.3/6 |
| Collana | Mathematical surveys and monographs |
| Soggetto topico |
Geometry, Differential
Asymptotic expansions Geometrical optics |
| ISBN |
0-8218-1633-0
0-8218-3208-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""PREFACE""; ""NOTATION""; ""CHAPTER I. INTRODUCTION. THE METHOD OF STATIONARY PHASE""; ""APPENDIX I. MORSE'S LEMMA AND SOME GENERALIZATIONS""; ""CHAPTER II. DIFFERENTIAL OPERATORS AND ASYMPTOTIC SOLUTIONS""; ""Â1. Differential operators""; ""Â2. Asymptotic sections""; ""Â3. The LÃneburg-Lax-Ludwig technique""; ""Â4. The methods of characteristics""; ""Â5. Bi-characteristics""; ""Â6. The transport equation""; ""Â7. The Maslov cycle and the Bohr-Sommerfeld quantization conditions""; ""CHAPTER III. GEOMETRICAL OPTICS""
""Â1. The laws of refraction and reflection""""Â2. Focusing and magnification""; ""Â3. Hamilton's method""; ""Â4. First order optics""; ""Â5. The Seidel aberrations""; ""Â6. The asymptotic solution of Maxwell's equations""; ""CHAPTER IV. SYMPLECTIC GEOMETRY""; ""Â1. The Darboux-Weinstein theorem""; ""Â2. Symplectic vector spaces""; ""Â3. The cross index and the Maslov class""; ""Â4. Functorial properties of Lagrangian submanifolds""; ""Â5. Local parametrizations of Lagrangian submanifolds""; ""Â6. Periodic Hamiltonian systems""; ""Â7. Homogeneous symplectic spaces"" ""Â8. Multisymplectic structures and the calculus of variations""""CHAPTER V. GEOMETRIC QUANTIZATION""; ""Â1. Curvature forms and vector bundles""; ""Â2. The group of automorphisms of an Hermitian line bundle""; ""Â3. Polarizations""; ""Â4. Metalinear manifolds and half forms""; ""Â5. Metaplectic manifolds""; ""Â6. The pairing of half form sections""; ""Â7. The metaplectic representation""; ""Â8. Some examples""; ""CHAPTER VI. GEOMETRIC ASPECTS OF DISTRIBUTIONS""; ""Â1. Elementary functorial properties of distributions""; ""Â2. Traces and characters""; ""Â3. The wave front set"" ""Â4. Lagrangian distributions """"Â5. The symbol calculus""; ""Appendix to Section 5""; ""Â6. Fourier integral operators""; ""Â7. The transport equation""; ""Â8. Some applications to spectral theory""; ""APPENDIX TO CHAPTER VI. THE PLANCHEREL FORMULA FOR THE COMPLEX SEMI-SIMPLE LIE GROUPS""; ""CHAPTER VII. COMPOUND ASYMPTOTICS""; ""Â0. Introduction""; ""Â1. The asymptotic Fourier transform""; ""Â2. The frequency set""; ""Â3. Functorial properties of compound asymptotics""; ""Â4. The symbol calculus""; ""Â5. Pointwise behavior of compound asymptotics and Bernstein's theorem"" ""Appendix to Section 5 of Chapter VII""""Â6. Behavior near caustics""; ""Â7. Iterated S[sub(1)] and S[sub(2,0)] singularities, computations""; ""Â8. Proofs of the normal forms""; ""Â9. Behavior near caustics (continued)""; ""APPENDIX II. VARIOUS FUNCTORIAL CONSTRUCTIONS""; ""Â1. The category of smooth vector bundles""; ""Â2. The fiber product""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""W"" |
| Record Nr. | UNINA-9910146558303321 |
|
Guillemin Victor <1937->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric asymptotics / / by Victor Guillemin and Shlomo Sternberg
| Geometric asymptotics / / by Victor Guillemin and Shlomo Sternberg |
| Autore | Guillemin Victor <1937-> |
| Edizione | [Revised ed.] |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1977] |
| Descrizione fisica | 1 online resource (500 p.) |
| Disciplina | 516.3/6 |
| Collana | Mathematical surveys and monographs |
| Soggetto topico |
Geometry, Differential
Asymptotic expansions Geometrical optics |
| ISBN |
0-8218-1633-0
0-8218-3208-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""TABLE OF CONTENTS""; ""PREFACE""; ""NOTATION""; ""CHAPTER I. INTRODUCTION. THE METHOD OF STATIONARY PHASE""; ""APPENDIX I. MORSE'S LEMMA AND SOME GENERALIZATIONS""; ""CHAPTER II. DIFFERENTIAL OPERATORS AND ASYMPTOTIC SOLUTIONS""; ""Â1. Differential operators""; ""Â2. Asymptotic sections""; ""Â3. The LÃneburg-Lax-Ludwig technique""; ""Â4. The methods of characteristics""; ""Â5. Bi-characteristics""; ""Â6. The transport equation""; ""Â7. The Maslov cycle and the Bohr-Sommerfeld quantization conditions""; ""CHAPTER III. GEOMETRICAL OPTICS""
""Â1. The laws of refraction and reflection""""Â2. Focusing and magnification""; ""Â3. Hamilton's method""; ""Â4. First order optics""; ""Â5. The Seidel aberrations""; ""Â6. The asymptotic solution of Maxwell's equations""; ""CHAPTER IV. SYMPLECTIC GEOMETRY""; ""Â1. The Darboux-Weinstein theorem""; ""Â2. Symplectic vector spaces""; ""Â3. The cross index and the Maslov class""; ""Â4. Functorial properties of Lagrangian submanifolds""; ""Â5. Local parametrizations of Lagrangian submanifolds""; ""Â6. Periodic Hamiltonian systems""; ""Â7. Homogeneous symplectic spaces"" ""Â8. Multisymplectic structures and the calculus of variations""""CHAPTER V. GEOMETRIC QUANTIZATION""; ""Â1. Curvature forms and vector bundles""; ""Â2. The group of automorphisms of an Hermitian line bundle""; ""Â3. Polarizations""; ""Â4. Metalinear manifolds and half forms""; ""Â5. Metaplectic manifolds""; ""Â6. The pairing of half form sections""; ""Â7. The metaplectic representation""; ""Â8. Some examples""; ""CHAPTER VI. GEOMETRIC ASPECTS OF DISTRIBUTIONS""; ""Â1. Elementary functorial properties of distributions""; ""Â2. Traces and characters""; ""Â3. The wave front set"" ""Â4. Lagrangian distributions """"Â5. The symbol calculus""; ""Appendix to Section 5""; ""Â6. Fourier integral operators""; ""Â7. The transport equation""; ""Â8. Some applications to spectral theory""; ""APPENDIX TO CHAPTER VI. THE PLANCHEREL FORMULA FOR THE COMPLEX SEMI-SIMPLE LIE GROUPS""; ""CHAPTER VII. COMPOUND ASYMPTOTICS""; ""Â0. Introduction""; ""Â1. The asymptotic Fourier transform""; ""Â2. The frequency set""; ""Â3. Functorial properties of compound asymptotics""; ""Â4. The symbol calculus""; ""Â5. Pointwise behavior of compound asymptotics and Bernstein's theorem"" ""Appendix to Section 5 of Chapter VII""""Â6. Behavior near caustics""; ""Â7. Iterated S[sub(1)] and S[sub(2,0)] singularities, computations""; ""Â8. Proofs of the normal forms""; ""Â9. Behavior near caustics (continued)""; ""APPENDIX II. VARIOUS FUNCTORIAL CONSTRUCTIONS""; ""Â1. The category of smooth vector bundles""; ""Â2. The fiber product""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""O""; ""P""; ""R""; ""S""; ""T""; ""U""; ""W"" |
| Record Nr. | UNISA-996320722703316 |
|
Guillemin Victor <1937->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1977] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||