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Trombi–Varadarajan theorem

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135: 125: 74: 28: 40: 79: 52: 48: 44: 130: 96: 60: 88: 108: 104: 16:
Relates spherical functions on a semisimple Lie group to certain holomorphic functions
119: 56: 36: 20: 100: 92: 77:(1971), "Spherical transforms of semisimple Lie groups", 32: 8: 7: 27:, introduced by Trombi and 14: 1: 39:between a certain space of 152: 25:Trombi–Varadarajan theorem 47:, and a certain space of 136:Mathematical theorems 80:Annals of Mathematics 49:holomorphic functions 53:tubular neighborhood 45:semisimple Lie group 41:spherical functions 75:Varadarajan, V. S. 126:Harmonic analysis 83:, Second Series, 61:Cartan subalgebra 143: 111: 151: 150: 146: 145: 144: 142: 141: 140: 116: 115: 93:10.2307/1970861 73:Trombi, P. C.; 72: 69: 17: 12: 11: 5: 149: 147: 139: 138: 133: 128: 118: 117: 114: 113: 68: 65: 15: 13: 10: 9: 6: 4: 3: 2: 148: 137: 134: 132: 129: 127: 124: 123: 121: 110: 106: 102: 98: 94: 90: 86: 82: 81: 76: 71: 70: 66: 64: 62: 58: 54: 51:defined on a 50: 46: 42: 38: 34: 30: 26: 22: 84: 78: 35:), gives an 24: 18: 87:: 246–303, 37:isomorphism 21:mathematics 131:Lie groups 120:Categories 67:References 29:Varadarjan 109:0289725 101:1970861 55:of the 31: ( 107:  99:  23:, the 97:JSTOR 59:of a 43:on a 57:dual 33:1971 89:doi 19:In 122:: 105:MR 103:, 95:, 85:94 63:. 112:. 91::

Index

mathematics
Varadarjan
1971
isomorphism
spherical functions
semisimple Lie group
holomorphic functions
tubular neighborhood
dual
Cartan subalgebra
Varadarajan, V. S.
Annals of Mathematics
doi
10.2307/1970861
JSTOR
1970861
MR
0289725
Categories
Harmonic analysis
Lie groups
Mathematical theorems

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