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[null,"1.","Record Nr.",null,"UNISA996320722703316"]
[null,null,"Autore",null,"Guillemin Victor <1937->"]
[null,null,"Titolo",null,"Geometric asymptotics / / by Victor Guillemin and Shlomo Sternberg"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , [1977]"]
[{"$nulls":4},"©1977"]
[null,null,"ISBN",null,"0-8218-1633-0"]
[{"$nulls":4},"0-8218-3208-5"]
[null,null,"Edizione",null,"[Revised ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (500 p.)"]
[null,null,"Collana",null,"Mathematical surveys and monographs ; ; number 14"]
[null,null,"Disciplina",null,"516.3/6"]
[null,null,"Soggetti",null,"Geometry, Differential"]
[{"$nulls":4},"Asymptotic expansions"]
[{"$nulls":4},"Geometrical optics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"Â1. The laws of refraction and reflection\"\"\"\"Â2. Focusing and magnification\"\"; \"\"Â3. Hamilton's method\"\"; \"\"Â4. First order optics\"\"; \"\"Â5. The Seidel aberrations\"\"; \"\"Â6. The asymptotic solution of Maxwell's equations\"\"; \"\"CHAPTER IV. SYMPLECTIC GEOMETRY\"\"; \"\"Â1. The Darboux-Weinstein theorem\"\"; \"\"Â2. Symplectic vector spaces\"\"; \"\"Â3. The cross index and the Maslov class\"\"; \"\"Â4. Functorial properties of Lagrangian submanifolds\"\"; \"\"Â5. Local parametrizations of Lagrangian submanifolds\"\"; \"\"Â6. Periodic Hamiltonian systems\"\"; \"\"Â7. Homogeneous symplectic spaces\"\""]
[{"$nulls":4},"\"\"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 "]
[{"$nulls":4},"sections\"\"; \"\"Â7. The metaplectic representation\"\"; \"\"Â8. Some examples\"\"; \"\"CHAPTER VI. GEOMETRIC ASPECTS OF DISTRIBUTIONS\"\"; \"\"Â1. Elementary functorial properties of distributions\"\"; \"\"Â2. Traces and characters\"\"; \"\"Â3. The wave front set\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"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\"\""]