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Issue 1-2: L'ENSEIGNEMENT MATHÉMATIQUE
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Front matter
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Table of Contents
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Front matter
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Index
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Front matter
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Article: FROBENIUS RECIPROCITY AND LIE GROUP REPRESENTATIONS ON $\bar{\delta}$ COHOMOLOGY SPACES
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3
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Chapter: 1. Introduction
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3
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Chapter: 2. Induction and reciprocity
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6
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Chapter: 3. Representations of non-compact semisimple groups
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15
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Chapter: 4. Remarks on the nilpotent case: polarizations and harmonic induction
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21
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Chapter: 5. FURTHER NOTES
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24
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Bibliography
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26
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Article: ON THE NUMBER OF RESTRICTED PRIME FACTORS OF AN INTEGER. III
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31
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Chapter: §1. Introduction
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31
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Chapter: §2. Notation
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37
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Chapter: §3. Proofs of Theorems 1.6 and 1.11, and related results
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38
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Chapter: §4. Proofs of Theorem 1.14 and related results
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43
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Chapter: §5. Proofs of Theorem 1.21 and related results
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46
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Bibliography
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51
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Article: THE REPRESENTATION THEORY OF SL(2, R), A NON-INFINITESIMAL APPROACH
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53
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Abstract: Abstract
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53
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Chapter: 1. Introduction
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53
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Chapter: 2. The canonical matrix elements of the principal series
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55
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Chapter: 2.1. Preliminaries
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55
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Chapter: 2.2. The principal series
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56
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Chapter: 2.3. CALCULATION OF THE CANONICAL MATRIX ELEMENTS
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58
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Chapter: 2.4. Notes
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60
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Chapter: 3. The irreducible subquotient representations of the principal series
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61
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Chapter: 3.1. Subquotient representations
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61
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Chapter: 3.2. The case SU(1, 1)
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63
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Chapter: 3.3. Notes
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65
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Chapter: 4. Equivalences between irreducible subquotient representations OF THE PRINCIPAL SERIES
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66
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Chapter: 4.1. Naimark equivalence
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66
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Chapter: 4.2. The case SU(1, 1)
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70
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Chapter: 4.3. Notes
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72
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Chapter: 5. Equivalence of irreducible representations of SU(1, 1) to subrepresentations of the principal series
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73
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Chapter: 5.1. Spherical functions
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73
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Chapter: 5.2. Spherical functions of type δ
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74
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Chapter: 5.3. The generalized Abel transform
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75
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Chapter: 5.4. The main theorem
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77
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Chapter: 5.5. COMPLETION OF THE PROOF OF THE MAIN THEOREM
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78
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Chapter: 5.6. Notes
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82
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Chapter: 6. Unitarizability of irreducible subrepresentations OF THE PRINCIPAL SERIES
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83
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Chapter: 6.1. A CRITERIUM FOR UNITARIZABILITY
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83
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Chapter: 6.2. The case SU(1, 1)
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85
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Chapter: 6.3. Notes
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87
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Bibliography
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88
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Article: INTRODUCTION AUX VARIÉTÉS ABÉLIENNES COMPLEXES
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91
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Chapter: Intentions
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91
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Chapter: 1. Enoncé du théorème de base
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92
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Chapter: 2. Partie analytique de la démonstration
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95
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Chapter: 3. Commentaires concernant la partie analytique de la démonstration
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107
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Chapter: 4. Partie cohomologique de la démonstration
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112
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Chapter: 5. Commentaires concernant la partie cohomologique de la démonstration
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121
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Chapter: 6. Classification de variétés abéliennes
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123
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Bibliography
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137
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Article: UNE PRÉSENTATION ADÉLIQUE DE LA SÉRIE SINGULIÈRE ET DU PROBLÈME DE WARING
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139
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Chapter: Introduction
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139
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Chapter: Chapitre I. La transformation de Gauss
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140
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Chapter: Chapitre II. Le théorème de Hardy-Littlewood
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154
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Bibliography
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170
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Article: STRUCTURED vs GENERAL MODELS IN COMPUTATIONAL COMPLEXITY
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171
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Chapter: I. Introduction and Conclusion
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171
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Chapter: II. Comparison Based Models
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175
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Chapter: III. Arithmetic Models — Algebraic Complexity
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181
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Chapter: IV. Other Structured Models
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184
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Bibliography
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187
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Article: TURING MACHINES THAT TAKE ADVICE
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191
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Chapter: 1. Introduction
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191
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Chapter: 2. NONUNIFORM COMPLEXITY MEASURES
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192
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Chapter: 3. SUMMARY OF MAIN RESULTS
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194
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Chapter: 4. The Round-Robin Tournament Method
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195
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Chapter: 5. The Self-Reducibility Method
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200
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Chapter: 6. The Method of Recursive Definition
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203
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Bibliography
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208
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Article: NON-STANDARD MODELS OF PEANO ARITHMETIC
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211
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Chapter: II. Bounded Ultrapowers
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213
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Chapter: III. Peano arithmetic and the Stability Condition
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218
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Chapter: IV. Ramsey-type Theorems
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222
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Chapter: V. Construction of the Model
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223
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Chapter: VI. A Simpler Model
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225
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Chapter: VII. Variations
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228
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Chapter: Note (Added in proof)
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230
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Bibliography
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231
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Article: ON BOOLEAN ALGEBRAS WITH DISTINGUISHED SUBALGEBRAS
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233
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Chapter: 1. The sheaf representation of Boolean algebra extensions
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235
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Chapter: 2. Relative automorphisms of finite extensions
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237
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Chapter: 3. Truth values in for statements about (B, A)
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242
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Chapter: 4. Decidability and complétions of Th (K)
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244
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Bibliography
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252
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Article: RFDUCIBILITY BY ALGEBRAIC PROJECTIONS
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253
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Abstract: Abstract
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253
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Chapter: 1. Introduction
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253
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Chapter: 2. Definitions
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254
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Chapter: 3. p-DEFINABILITY
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257
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Chapter: 4. Closure properties
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259
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Chapter: 5. A NON-EXISTENT HIERARCHY
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262
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Chapter: 6. Universality of Linear Programming
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263
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Appendix: Appendix 1
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265
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Appendix: Appendix 2
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267
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Bibliography
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268
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Article: EINIGE UNENTSCHEIDBARE KÖRPERTHEORIEN
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269
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Preface: 0) EINLEITUNG
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269
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Chapter: 1) DISKUSSION DES RESULTATS
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269
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Chapter: 2) KONSTRUKTION VON M
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272
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Chapter: 3) KONSTRUKTION VON K
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273
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Chapter: 4) Die Eigenschaften von K
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277
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Chapter: 5) Beweis des Satzes
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279
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Bibliography
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279
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Article: MEILLEURE APPROXIMATION LINÉAIRE ET ESPACES EUCLIDIENS
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281
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Chapter: Introduction
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281
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Chapter: 1. Théorème principal, diverses formulations
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281
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Chapter: 2. DÉMONSTRATION DE LA DIFFÉRENTIABILITÉ
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285
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Chapter: 3. DÉMONSTRATION DU THÉORÈME A (CAS DIFFÉRENTIABLE)
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290
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Bibliography
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293
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Article: HARMONIZABLE PROCESSES: STRUCTURE THEORY
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295
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Abstract: Contents
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295
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Chapter: 1. Introduction
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295
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Chapter: 2. Harmonizability
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300
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Chapter: 3. Integral representation of a class of second order processes
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305
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Chapter: 4. V-BOUNDEDNESS, WEAK AND STRONG HARMONIZABILITY
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314
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Chapter: 5. Domination problem for harmonizable fields
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322
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Chapter: 6. Stationary dilations
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326
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Chapter: 7. Characterizations of weak harmonizability
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332
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Chapter: 8. Associated spectra and consequences
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337
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Chapter: 9. Multivariate extension and related problems
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343
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Bibliography
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350
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Rubric: BULLETIN BIBLIOGRAPHIQUE
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1
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Rubric: BULLETIN BIBLIOGRAPHIQUE
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45
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Back matter
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