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Noncommutative residue

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81:
Adler, M. (1978), "On a trace functional for formal pseudo differential operators and the symplectic structure of the Korteweg-de Vries type equations",
251: 33: 83: 123: 40: 121:
Guillemin, Victor (1985), "A new proof of Weyl's formula on the asymptotic distribution of eigenvalues",
170: 142: 102: 56: 223: 132: 92: 235: 198: 182: 154: 114: 231: 219: 194: 178: 150: 110: 162: 245: 193:, Akad. Nauk SSSR Vsesojuz. Inst. NauÄŤn. i Tehn. Informacii, Moscow, pp. 5–152, 137: 68: 37: 17: 189:
Manin, Ju. I. (1978), "Algebraic aspects of nonlinear differential equations",
174: 146: 106: 227: 97: 214:
Wodzicki, Mariusz (1987), "Noncommutative residue. I. Fundamentals",
44: 218:, Lecture Notes in Math., vol. 1289, Berlin, New York: 47:, the noncommutative residue had been studied earlier by M. 43:
that is expressed via a local density. In the case of the
216:
K-theory, arithmetic and geometry (Moscow, 1984--1986)
209:, PhD thesis, Moscow: Steklov institute of mathematics 191:Current problems in mathematics, Vol. 11 (Russian) 163:"Le rĂ©sidu non commutatif (d'après M. Wodzicki)" 207:Spectral asymmetry and noncommutative residue 8: 136: 96: 29: 25: 32:, is a certain trace on the algebra of 52: 48: 7: 55:in the context of one-dimensional 14: 24:, defined independently by M. 1: 138:10.1016/0001-8708(85)90018-0 34:pseudodifferential operators 268: 161:Kassel, Christian (1989), 84:Inventiones Mathematicae 252:Noncommutative geometry 124:Advances in Mathematics 41:differentiable manifold 22:noncommutative residue 205:Wodzicki, M. (1984), 222:, pp. 320–399, 228:10.1007/BFb0078372 98:10.1007/BF01410079 57:integrable systems 259: 238: 210: 201: 185: 169:(177): 199–229, 157: 140: 117: 100: 30:Guillemin (1985) 267: 266: 262: 261: 260: 258: 257: 256: 242: 241: 220:Springer-Verlag 213: 204: 188: 160: 120: 80: 77: 65: 26:Wodzicki (1984) 12: 11: 5: 265: 263: 255: 254: 244: 243: 240: 239: 211: 202: 186: 158: 131:(2): 131–160, 118: 91:(3): 219–248, 76: 73: 72: 71: 64: 61: 13: 10: 9: 6: 4: 3: 2: 264: 253: 250: 249: 247: 237: 233: 229: 225: 221: 217: 212: 208: 203: 200: 196: 192: 187: 184: 180: 176: 172: 168: 164: 159: 156: 152: 148: 144: 139: 134: 130: 126: 125: 119: 116: 112: 108: 104: 99: 94: 90: 86: 85: 79: 78: 74: 70: 69:Dixmier trace 67: 66: 62: 60: 58: 54: 50: 46: 42: 39: 35: 31: 27: 23: 19: 215: 206: 190: 166: 128: 122: 88: 82: 53:Manin (1978) 49:Adler (1978) 21: 15: 18:mathematics 167:AstĂ©risque 75:References 175:0303-1179 147:0001-8708 107:0020-9910 246:Category 63:See also 236:0923140 199:0501136 183:1040574 155:0772612 115:0520927 51:and Y. 38:compact 234:  197:  181:  173:  153:  145:  113:  105:  45:circle 36:on a 171:ISSN 143:ISSN 103:ISSN 28:and 224:doi 133:doi 93:doi 16:In 248:: 232:MR 230:, 195:MR 179:MR 177:, 165:, 151:MR 149:, 141:, 129:55 127:, 111:MR 109:, 101:, 89:50 87:, 59:. 20:, 226:: 135:: 95::

Index

mathematics
Wodzicki (1984)
Guillemin (1985)
pseudodifferential operators
compact
differentiable manifold
circle
Adler (1978)
Manin (1978)
integrable systems
Dixmier trace
Inventiones Mathematicae
doi
10.1007/BF01410079
ISSN
0020-9910
MR
0520927
Advances in Mathematics
doi
10.1016/0001-8708(85)90018-0
ISSN
0001-8708
MR
0772612
"Le résidu non commutatif (d'après M. Wodzicki)"
ISSN
0303-1179
MR
1040574

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