Infinite-dimensional group representations
George W. Mackey
Source: Bull. Amer. Math. Soc. Volume 69, Number 5 (1963), 628-686.
Full-text: Open access
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MR0153784
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0136.11502
References
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109. F. Bruhat, Sur les représentations de groupes classiques p-adiques. I, Amer. J. Math. 83 (1961), 321-338.
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110. F. Bruhat, Sur les représentations de groupes classiques p-adiques. II, Amer. J. Math. 83 (1961), 343-368.
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111. J. Dixmier, Sur le revêtment universel d'un groupe de Lie de type I, C. R. Acad. Sci. Paris 252 (1961), 2805-2806.
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112. J. Dixmier, Points séparés dans le spectre d'une C*-algèbre, Acta Sci. Math. Szeged 22 (1961), 115-128.
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116. J. Dixmier et P. Bernat, Sur le dual d'un groupe de Lie, C. R. Acad. Sci. Paris 250 (1960), 1778-1779.
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117. E. Effros, A decomposition theory for representations of C*-algebras, Trans. Amer. Math. Soc. 107 (1963), 83-106.
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118. J. Ernest, A decomposition theory for unitary representations of locally compact groups, Trans. Amer. Math. Soc. 104 (1962), 252-277.
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119. J. M. G. Fell, The structure of algebras of operator fields, Acta. Math. 106 (1961), 233-280.
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120. J. M. G. Fell, Weak containment and induced representations of groups, Canad. J. Math. 14 (1962), 237-268.
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122. I. M. Gelfand and M. I. Graev, Geometry of homogeneous spaces, representations of groups in homogeneous spaces and related questions of integral geometry, Trudy Moskov Mat. Obšč. 8 (1959), 321-390. (Russian)
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123. I. M. Gelfand and M. I. Graev, Resolution of Lorentz group representations into irreducible representations on spaces of functions defined on symmetrical spaces, Dokl. Akad. Nauk SSSR 127 (1959), 250-253. (Russian)
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124. I. M. Gelfand and N. Y. Vilenkin, Integral geometry and connections with questions in the theory of representations, Moscow, 656 pp., Fizmatgiz, 1962. (Russian)
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126. I. M. Gelfand and I. Pyatetzki-Shapiro, Unitary representations in homogeneous spaces with discrete stationary subgroups, Dokl. Akad. Nauk SSSR 147 (1962), 17-20. (Russian)
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127. S. G. Gindikin and F. I. Karpelevic, Plancherel measure of Riemannian symmetric spaces of non positive curvature, Dokl. Akad. Nauk 145 (1962), 252-255. (Russian)
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128. J. Glimm, Families of induced representations, Pacific J. Math. 12 (1962), 885-911.
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129. A. Guichardet, Caractères des algèbres de Banach involutives, Ann. Inst. Fourier (Grenoble) 13 (1962), 1-81.
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130. Harish-Chandra, Spherical functions on a semisimple Lie group. I, Amer. J. Math. 80 (1958), 241-310.
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134. G. I. Kac, Generalized functions on a locally compact group and decompositions of unitary representations, Trudy Moskov Mat. Obšč. 10 (1961), 3-40. (Russian)
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135. A. A. Kirillov, Unitary representations of nilpotent Lie groups, Uspehi Mat. Nauk 106 (1962), 57-110. (Russian)
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136. A. Kleppner, The structure of some induced representations, Duke Math. J. 29 (1962), 555-572.
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137. A. Kleppner, Intertwining forms for summable induced representations, (to appear).
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138. S. Kobayashi, On automorphism groups of homogeneous complex manifolds, Proc. Amer. Math. Soc. 12 (1961), 359-361.
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139. R. A. Kunze, On the irreducibility of certain multiplier representations, Bull. Amer. Math. Soc. 68 (1962), 93-94.
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140. R. A. Kunze and E. M. Stein, Uniformly bounded representations. II. Analytic continuation of the principal series of representations of the nxn complex unimodular group, Amer. J. Math 83 (1961), 723-786.
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141. G. W. Mackey, Induced representations and normal subgroups, Proc. Internat. Sympos. Linear Spaces, Jerusalem pp. 319-326, Pergamon, Oxford, 1960.
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142. K. Maurin, Distributionen auf Yamabe-Gruppen. Harmonische Analyse auf einer Abelschen l.k. Gruppe, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 9 (1961), 845-850.
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143. F. I. Mautner, Spherical functions over p-adic fields, Amer. J. Math. 80 (1958), 441-457.
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144. C. C. Moore, On the Frobenius reciprocity theorem for locally compact groups, Pacific J. Math. 12 (1962), 359-365.
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145. M. A. Naimark, Decomposition into factor representations of unitary representations of locally compact groups, Sibirsk. Mat. Ž. 2 (1961), 89-99. (Russian)
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146. A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956), 47-87.
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147. T. Tamagawa, On Selberg's trace formula, J. Fac. Sci. Univ. Tokyo Sect. I 8 (1960), 363-386.
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148. E. Thoma, Über unitare Darstellungen abzahlbarer, diskreter Gruppen, (to appear).
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149. M. Takesaki, On some representations of C* algebras, Tôhoku Math. J. 15 (1963), 79-95.
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150. J. Tomiyama, Topological representation of C* algebras, Tôhoku Math. J. 14 (1962), 187-204.
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MR143053