140:
248:
222:
169:
61:
154:
17:
25:
194:
218:
186:
178:
232:
228:
214:
207:
33:
29:
242:
190:
167:
Harish-Chandra (1958), "Spherical
Functions on a Semisimple Lie Group II",
198:
182:
213:, Pure and Applied Mathematics, vol. 132, Boston, MA:
135:{\displaystyle f^{P}(m)=a^{-\rho }\int _{N}f(nm)\,dn}
64:
206:
177:(3), The Johns Hopkins University Press: 553–613,
134:
37:
8:
125:
104:
91:
69:
63:
7:
24:is a linear map from functions on a
249:Representation theory of Lie groups
14:
170:American Journal of Mathematics
122:
113:
81:
75:
1:
43:The Harish-Chandra transform
265:
205:Wallach, Nolan R (1988),
157:of a parabolic subgroup.
209:Real reductive groups. I
22:Harish-Chandra transform
155:Langlands decomposition
32:. It was introduced by
136:
137:
18:representation theory
62:
26:reductive Lie group
132:
30:parabolic subgroup
28:to functions on a
224:978-0-12-732960-4
256:
235:
212:
201:
141:
139:
138:
133:
109:
108:
99:
98:
74:
73:
40:, p.595).
16:In mathematical
264:
263:
259:
258:
257:
255:
254:
253:
239:
238:
225:
204:
183:10.2307/2372772
166:
163:
100:
87:
65:
60:
59:
12:
11:
5:
262:
260:
252:
251:
241:
240:
237:
236:
223:
215:Academic Press
202:
162:
159:
143:
142:
131:
128:
124:
121:
118:
115:
112:
107:
103:
97:
94:
90:
86:
83:
80:
77:
72:
68:
47:of a function
34:Harish-Chandra
13:
10:
9:
6:
4:
3:
2:
261:
250:
247:
246:
244:
234:
230:
226:
220:
216:
211:
210:
203:
200:
196:
192:
188:
184:
180:
176:
172:
171:
165:
164:
160:
158:
156:
152:
149: =
148:
129:
126:
119:
116:
110:
105:
101:
95:
92:
88:
84:
78:
70:
66:
58:
57:
56:
55:is given by
54:
51:on the group
50:
46:
41:
39:
35:
31:
27:
23:
19:
208:
174:
168:
150:
146:
144:
52:
48:
44:
42:
21:
15:
161:References
191:0002-9327
102:∫
96:ρ
93:−
243:Category
233:0929683
199:2372772
153:is the
36: (
231:
221:
197:
189:
145:where
20:, the
195:JSTOR
219:ISBN
187:ISSN
38:1958
179:doi
151:MAN
245::
229:MR
227:,
217:,
193:,
185:,
175:80
173:,
181::
147:P
130:n
127:d
123:)
120:m
117:n
114:(
111:f
106:N
89:a
85:=
82:)
79:m
76:(
71:P
67:f
53:G
49:f
45:f
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.