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Gábor Szegő

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269: 463:, recognised as a mathematical prodigy, was sent to study advanced calculus under Szegő. On their first meeting, Szegő was so astounded by von Neumann's mathematical talent and speed that he was brought to tears. Szegő subsequently visited the von Neumann house twice a week to tutor the child prodigy. Some of von Neumann's instant solutions to the problems in calculus posed by Szegő, sketched out on his father's stationery, are now on display at the von Neumann archive at Budapest. 472: 31: 1417: 1422: 1387: 1397: 114: 429:. He wrote over 130 papers in several languages. Each of his four books, several written in collaboration with others, has become a classic in its field. The monograph 409:. The Gábor Szegö Prize, Szegő Gábor Primary School, and Szegő Gábor Matematikaverseny (a mathematics competition in his former school) are all named in his honor. 1382: 1392: 138: 1325: 306:
family as the son of Adolf Szegő and Hermina Neuman. He married the chemist Anna Elisabeth Neményi in 1919, with whom he had two children.
386: 170: 1173: 544: 530: 278: 283: 110: 118: 106: 1412: 1407: 584: 1135: 1121: 504: 497: 1349: 378: 166: 357:, in which he served in the infantry, artillery and air corps. In 1918 while stationed in Vienna, he was awarded a 322: 326: 1330: 858: 244:) (January 20, 1895 – August 7, 1985) was a Hungarian-American mathematician. He was one of the foremost 342: 1402: 421:. He was one of the foremost analysts of his generation and made fundamental contributions to the theory of 268: 126: 1198: 431: 426: 418: 314: 249: 206: 398: 245: 81: 1377: 1372: 435:, published in 1939, contains much of his research and has had a profound influence in many areas of 362: 318: 310: 96: 1316: 1143: 440: 436: 394: 174: 130: 731: 667: 634: 448: 444: 402: 240: 216: 1357: 1320: 1169: 580: 526: 334: 202: 1163: 373:
from the University of Berlin in 1921, where he stayed until being appointed as successor to
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in 1938, where he helped build up the department until his retirement in 1966. He died in
1139: 1102:"Biographies - Alfréd Rényi Institute of Mathematics (bios of Bauer Mihály and Beke Manó)" 1063: 1027: 992: 956: 921: 886: 846: 811: 776: 739: 702: 422: 366: 295: 253: 58: 539: 483: 346: 273: 122: 1160: 350: 1058: 1041: 1022: 1005: 987: 970: 951: 934: 916: 899: 881: 864: 841: 824: 806: 789: 771: 754: 697: 680: 471: 1366: 1353: 1271: 671: 638: 594: 520: 490: 370: 330: 257: 220: 1296: 1256: 1219: 1088: 374: 1275: 1235: 1202: 1101: 574: 1338: 1156: 1132: 382: 354: 338: 156: 30: 790:"On some Hermitian forms associated with two given curves of the complex plane" 393:
in 1936, before his appointment as chairman of the mathematics department at
358: 291: 54: 1117: 579:, Annals of Mathematics Studies, vol. 27, Princeton University Press, 755:"Inequalities for the zeros of Legendre polynomials and related functions" 1186:
John Von Neumann: The Scientific Genius Who Pioneered the Modern Computer
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Ein Grenzwertsatz über die Toeplitz Determinanten einer reellen Funktion
935:"On the oscillations of differential transforms. IV. Jacobi polynomials" 735: 663: 630: 299: 62: 248:
of his generation and made fundamental contributions to the theory of
181: 727: 647: 614: 865:"Inequalities for harmonic polynomials in two and three dimensions" 470: 267: 345:
and Bauer and made the acquaintance of his future collaborators
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Amongst the many honours received during his lifetime were:
333:, amongst others. In Budapest he was taught mainly by 1418:
Stanford University Department of Mathematics faculty
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Asymptotische Entwicklungen der Jacobischen Polynome
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in 1926. Intolerable working conditions during the
1006:"On certain special sets of orthogonal polynomials" 900:"On the oscillations of differential transforms. I" 648:"Beiträge zur Theorie der Toeplitzschen Formen, II" 212: 196: 180: 162: 152: 102: 92: 70: 40: 21: 1423:Washington University in St. Louis mathematicians 519:The collected Papers of Gábor Szegő, 3 Vols (ed. 475:Bust of Gábor Szegő in his hometown of Kunhegyes 825:"On the gradient of solid harmonic polynomials" 615:"Beiträge zur Theorie der Toeplitzschen Formen" 1042:"A note on the reciprocal of a Fourier series" 576:Isoperimetric problems in mathematical physics 1339:"Gábor Szegő - One hundred years (Topic #25)" 681:"A problem concerning orthogonal polynomials" 8: 486:of the Hungarian Mathematical Society (1928) 1388:American people of Hungarian-Jewish descent 353:. His studies were interrupted in 1915 by 29: 18: 1295: 1255: 1218: 1057: 1021: 986: 950: 915: 880: 840: 805: 770: 696: 256:building on the work of his contemporary 1398:Hungarian emigrants to the United States 1276:"Review: Ulf Grenander and Gabor Szegő, 385:resulted in a temporary position at the 276:in Berlin, delivering the manuscript of 1326:MacTutor History of Mathematics Archive 1168:, American Mathematical Society, 1990, 1081: 1089:Biography on the homepage of Kunhegyes 1383:20th-century Hungarian mathematicians 1278:Toeplitz forms and their applications 714:Szego, Gabriel (1936). "Correction". 599:Toeplitz forms and their applications 239: 115:Grace–Walsh–Szegő coincidence theorem 7: 863:Schaeffer, A. C.; Szegő, G. (1941). 573:Pólya, George; Szegő, Gábor (1951), 1393:Mathematicians from Austria-Hungary 417:Szegő's most important work was in 16:Hungarian mathematician (1895–1985) 387:Washington University in St. Louis 171:Washington University in St. Louis 14: 1059:10.1090/s0002-9939-1953-0053267-7 1023:10.1090/s0002-9939-1950-0042546-2 988:10.1090/s0002-9947-1949-0033922-9 952:10.1090/s0002-9947-1943-0008100-4 917:10.1090/s0002-9947-1942-0007170-6 882:10.1090/s0002-9947-1941-0005164-7 842:10.1090/s0002-9947-1940-0000847-6 807:10.1090/s0002-9947-1936-1501884-1 772:10.1090/s0002-9947-1936-1501831-2 698:10.1090/s0002-9947-1935-1501782-2 545:Problems and Theorems in Analysis 279:Problems and Theorems in Analysis 969:Schiffer, M.; Szegő, G. (1949). 401:. His doctoral students include 325:, where he attended lectures by 1297:10.1090/s0002-9904-1959-10296-2 1257:10.1090/s0002-9904-1940-07231-3 1220:10.1090/S0002-9904-1935-06050-1 971:"Virtual mass and polarization" 567:, American Mathematical Society 1337:Askey, Richard (17 May 1995). 1165:The Legacy of John von Neumann 309:In 1912 he started studies in 1: 1203:"Szegő on Jacobi Polynomials" 1122:Mathematics Genealogy Project 1040:Edrei, A.; Szegő, G. (1953). 505:Hungarian Academy of Sciences 493:Gelehrten Gesellschaft (1928) 498:Austrian Academy of Sciences 496:Corresponding member of the 459:At the age of 15, the young 317:, with summer visits to the 1439: 1133:Official memorial citation 226: 145: 28: 1331:University of St Andrews 542:; Szegő, Gábor (1972) , 379:University of Königsberg 167:University of Königsberg 119:Rogers–Szegő polynomials 788:Szegő, Gabriel (1936). 753:Szegő, Gabriel (1936). 503:Honorary member of the 323:University of Göttingen 241:[ˈɡaːborˈsɛɡøː] 107:Fekete–Szegő inequality 1350:Gábor Szegő: 1895-1985 1238:Orthogonal Polynomials 1236:"Review: Gabor Szegő: 1161:Singer, Isadore Manuel 975:Trans. Amer. Math. Soc 939:Trans. Amer. Math. Soc 904:Trans. Amer. Math. Soc 869:Trans. Amer. Math. Soc 829:Trans. Amer. Math. Soc 794:Trans. Amer. Math. Soc 759:Trans. Amer. Math. Soc 716:Trans. Amer. Math. Soc 685:Trans. Amer. Math. Soc 565:Orthogonal Polynomials 476: 432:Orthogonal polynomials 427:orthogonal polynomials 315:University of Budapest 287: 250:orthogonal polynomials 111:Pólya–Szegő inequality 1413:People from Kunhegyes 1408:Mathematical analysts 1284:Bull. Amer. Math. Soc 1244:Bull. Amer. Math. Soc 1207:Bull. Amer. Math. Soc 1046:Proc. Amer. Math. Soc 1010:Proc. Amer. Math. Soc 563:Szegő, Gábor (1939), 554:Szegő, Gábor (1933), 474: 399:Palo Alto, California 367:Toeplitz determinants 271: 246:mathematical analysts 82:Palo Alto, California 1317:Robertson, Edmund F. 525:, Birkhäuser, 1982, 455:Tutoring von Neumann 445:stochastic processes 363:University of Vienna 319:University of Berlin 311:mathematical physics 127:Szegő limit theorems 97:University of Vienna 1315:O'Connor, John J.; 1234:Shohat, J. (1940). 1155:Impagliazzo, John; 1144:Stanford University 1038:with Albert Edrei: 967:with Max Schiffer: 441:theoretical physics 437:applied mathematics 395:Stanford University 207:Philipp Furtwängler 175:Stanford University 1138:2009-03-25 at the 1004:Szegő, G. (1950). 933:Szegő, G. (1943). 898:Szegő, G. (1942). 823:Szegő, G. (1940). 679:Szegő, G. (1935). 664:10.1007/bf01279027 646:Szegő, G. (1921). 631:10.1007/bf01199955 613:Szegő, G. (1920). 484:Julius König Prize 477: 449:numerical analysis 369:. He received his 290:Szegő was born in 288: 607:Selected articles 549:, Springer-Verlag 423:Toeplitz matrices 254:Toeplitz matrices 230: 229: 213:Doctoral students 203:Wilhelm Wirtinger 147:Scientific career 1430: 1346: 1333: 1302: 1301: 1299: 1268: 1262: 1261: 1259: 1231: 1225: 1224: 1222: 1195: 1189: 1183: 1177: 1153: 1147: 1130: 1124: 1115: 1109: 1108: 1106: 1098: 1092: 1086: 1071: 1061: 1035: 1025: 1000: 990: 964: 954: 929: 919: 894: 884: 854: 844: 819: 809: 784: 774: 747: 710: 700: 675: 658:(3–4): 167–190. 642: 625:(3–4): 167–202. 602: 589: 568: 559: 550: 535: 500:in Vienna (1960) 461:John von Neumann 365:for his work on 243: 238: 198:Doctoral advisor 192: 139:Szegő recurrence 131:Szegő polynomial 77: 50: 48: 33: 19: 1438: 1437: 1433: 1432: 1431: 1429: 1428: 1427: 1363: 1362: 1336: 1314: 1311: 1306: 1305: 1270: 1269: 1265: 1233: 1232: 1228: 1197: 1196: 1192: 1184: 1180: 1154: 1150: 1140:Wayback Machine 1131: 1127: 1116: 1112: 1104: 1100: 1099: 1095: 1087: 1083: 1078: 1039: 1003: 968: 932: 897: 862: 859:A. C. Schaeffer 822: 787: 752: 728:10.2307/1989765 713: 678: 645: 612: 609: 592: 587: 572: 569:; 2nd edn. 1955 562: 553: 538: 533: 517: 514: 469: 457: 415: 403:Paul Rosenbloom 296:Austria-Hungary 266: 236: 219: 217:Paul Rosenbloom 205: 190: 173: 169: 141: 137: 133: 129: 125: 121: 117: 113: 109: 93:Alma mater 88: 79: 75: 66: 59:Austria-Hungary 52: 51:20 January 1895 46: 44: 36: 24: 17: 12: 11: 5: 1436: 1434: 1426: 1425: 1420: 1415: 1410: 1405: 1403:Hungarian Jews 1400: 1395: 1390: 1385: 1380: 1375: 1365: 1364: 1361: 1360: 1347: 1334: 1310: 1309:External links 1307: 1304: 1303: 1263: 1250:(7): 583–587. 1226: 1213:(3): 165–169. 1190: 1178: 1148: 1125: 1110: 1093: 1091:(in Hungarian) 1080: 1079: 1077: 1074: 1073: 1072: 1052:(2): 323–329. 1036: 1016:(6): 731–737. 1001: 965: 945:(3): 463–468. 930: 910:(3): 450–462. 895: 875:(2): 187–225. 855: 820: 800:(3): 450–461. 785: 750: 749: 748: 676: 643: 608: 605: 604: 603: 595:Grenander, Ulf 593:Szegő, Gábor; 590: 585: 570: 560: 551: 536: 531: 513: 510: 509: 508: 501: 494: 489:Member of the 487: 468: 465: 456: 453: 414: 411: 351:Michael Fekete 265: 262: 228: 227: 224: 223: 214: 210: 209: 200: 194: 193: 184: 178: 177: 164: 160: 159: 154: 150: 149: 143: 142: 104: 103:Known for 100: 99: 94: 90: 89: 80: 78:(aged 90) 72: 68: 67: 53: 42: 38: 37: 34: 26: 25: 22: 15: 13: 10: 9: 6: 4: 3: 2: 1435: 1424: 1421: 1419: 1416: 1414: 1411: 1409: 1406: 1404: 1401: 1399: 1396: 1394: 1391: 1389: 1386: 1384: 1381: 1379: 1376: 1374: 1371: 1370: 1368: 1359: 1355: 1354:Richard Askey 1351: 1348: 1344: 1340: 1335: 1332: 1328: 1327: 1322: 1321:"Gábor Szegő" 1318: 1313: 1312: 1308: 1298: 1293: 1290:(2): 97–101. 1289: 1285: 1281: 1279: 1273: 1267: 1264: 1258: 1253: 1249: 1245: 1241: 1239: 1230: 1227: 1221: 1216: 1212: 1208: 1204: 1200: 1194: 1191: 1187: 1182: 1179: 1175: 1174:0-8218-4219-6 1171: 1167: 1166: 1162: 1158: 1152: 1149: 1145: 1141: 1137: 1134: 1129: 1126: 1123: 1119: 1114: 1111: 1103: 1097: 1094: 1090: 1085: 1082: 1075: 1069: 1065: 1060: 1055: 1051: 1047: 1043: 1037: 1033: 1029: 1024: 1019: 1015: 1011: 1007: 1002: 998: 994: 989: 984: 980: 976: 972: 966: 962: 958: 953: 948: 944: 940: 936: 931: 927: 923: 918: 913: 909: 905: 901: 896: 892: 888: 883: 878: 874: 870: 866: 860: 856: 852: 848: 843: 838: 834: 830: 826: 821: 817: 813: 808: 803: 799: 795: 791: 786: 782: 778: 773: 768: 764: 760: 756: 751: 745: 741: 737: 733: 729: 725: 721: 717: 712: 711: 708: 704: 699: 694: 690: 686: 682: 677: 673: 669: 665: 661: 657: 653: 649: 644: 640: 636: 632: 628: 624: 620: 616: 611: 610: 606: 600: 596: 591: 588: 582: 578: 577: 571: 566: 561: 557: 552: 548: 546: 541: 540:Pólya, George 537: 534: 532:3-7643-3063-5 528: 524: 522: 521:Richard Askey 516: 515: 511: 506: 502: 499: 495: 492: 488: 485: 482: 481: 480: 473: 466: 464: 462: 454: 452: 450: 446: 442: 438: 434: 433: 428: 424: 420: 412: 410: 408: 407:Joseph Ullman 404: 400: 396: 392: 388: 384: 380: 376: 372: 371:Privat-Dozent 368: 364: 360: 356: 352: 348: 344: 340: 336: 332: 328: 324: 320: 316: 312: 307: 305: 301: 297: 293: 285: 281: 280: 275: 270: 263: 261: 259: 258:Otto Toeplitz 255: 251: 247: 242: 234: 225: 222: 221:Joseph Ullman 218: 215: 211: 208: 204: 201: 199: 195: 188: 185: 183: 179: 176: 172: 168: 165: 161: 158: 155: 151: 148: 144: 140: 136: 135:Szegő theorem 132: 128: 124: 120: 116: 112: 108: 105: 101: 98: 95: 91: 87: 83: 74:7 August 1985 73: 69: 64: 60: 56: 43: 39: 35:Szegő in 1925 32: 27: 20: 1342: 1324: 1287: 1283: 1277: 1266: 1247: 1243: 1237: 1229: 1210: 1206: 1193: 1185: 1181: 1164: 1157:Glimm, James 1151: 1128: 1113: 1096: 1084: 1049: 1045: 1013: 1009: 978: 974: 942: 938: 907: 903: 872: 868: 832: 828: 797: 793: 762: 758: 719: 715: 688: 684: 655: 651: 622: 618: 598: 575: 564: 555: 543: 518: 512:Bibliography 491:Königsberger 478: 458: 439:, including 430: 416: 347:George Pólya 308: 289: 277: 274:George Pólya 232: 231: 186: 163:Institutions 146: 123:Szegő kernel 76:(1985-08-07) 1378:1985 deaths 1373:1895 births 1272:Spitzer, F. 1118:Gábor Szegő 981:: 130–205. 691:: 196–206. 383:Nazi regime 355:World War I 272:Szegő with 233:Gábor Szegő 157:Mathematics 23:Gábor Szegő 1367:Categories 1358:Paul Nevai 1199:Shohat, J. 1076:References 722:(3): 500. 586:0691079889 558:, Niemeyer 302:), into a 237:Hungarian: 47:1895-01-20 1343:Op-Sf Net 835:: 51–65. 672:125157848 639:118147030 601:, Chelsea 359:doctorate 327:Frobenius 292:Kunhegyes 55:Kunhegyes 1274:(1959). 1201:(1935). 1136:Archived 765:: 1–17. 597:(1958), 547:, 2 Vols 419:analysis 391:Missouri 343:Kürschák 321:and the 284:Springer 1120:at the 1068:0053267 1032:0042546 997:0033922 961:0008100 926:0007170 891:0005164 851:0000847 816:1501884 781:1501831 744:1501861 736:1989765 707:1501782 652:Math. Z 619:Math. Z 467:Honours 377:at the 361:by the 331:Hilbert 313:at the 300:Hungary 298:(today 63:Hungary 1172:  1066:  1030:  995:  959:  924:  889:  849:  814:  779:  742:  734:  705:  670:  637:  583:  529:  507:(1965) 304:Jewish 191:(1918) 189:  182:Thesis 153:Fields 1352:, by 1105:(PDF) 857:with 732:JSTOR 668:S2CID 635:S2CID 413:Works 375:Knopp 335:Fejér 61:(now 1356:and 1170:ISBN 581:ISBN 527:ISBN 447:and 425:and 405:and 349:and 339:Beke 329:and 264:Life 252:and 86:U.S. 71:Died 41:Born 1292:doi 1252:doi 1215:doi 1054:doi 1018:doi 983:doi 947:doi 912:doi 877:doi 837:doi 802:doi 767:doi 724:doi 693:doi 660:doi 627:doi 282:to 1369:: 1341:. 1329:, 1323:, 1319:, 1288:65 1286:. 1282:. 1248:46 1246:. 1242:. 1211:41 1209:. 1205:. 1159:; 1142:, 1064:MR 1062:. 1048:. 1044:. 1028:MR 1026:. 1012:. 1008:. 993:MR 991:. 979:67 977:. 973:. 957:MR 955:. 943:53 941:. 937:. 922:MR 920:. 908:52 906:. 902:. 887:MR 885:. 873:50 871:. 867:. 861:: 847:MR 845:. 833:47 831:. 827:. 812:MR 810:. 798:40 796:. 792:. 777:MR 775:. 763:39 761:. 757:. 740:MR 738:. 730:. 720:39 718:. 703:MR 701:. 689:37 687:. 683:. 666:. 654:. 650:. 633:. 621:. 617:. 451:. 443:, 389:, 341:, 337:, 294:, 260:. 84:, 57:, 1345:. 1300:. 1294:: 1280:" 1260:. 1254:: 1240:" 1223:. 1217:: 1176:. 1146:. 1107:. 1070:. 1056:: 1050:4 1034:. 1020:: 1014:1 999:. 985:: 963:. 949:: 928:. 914:: 893:. 879:: 853:. 839:: 818:. 804:: 783:. 769:: 746:. 726:: 709:. 695:: 674:. 662:: 656:9 641:. 629:: 623:6 523:) 286:. 235:( 65:) 49:) 45:(

Index


Kunhegyes
Austria-Hungary
Hungary
Palo Alto, California
U.S.
University of Vienna
Fekete–Szegő inequality
Pólya–Szegő inequality
Grace–Walsh–Szegő coincidence theorem
Rogers–Szegő polynomials
Szegő kernel
Szegő limit theorems
Szegő polynomial
Szegő theorem
Szegő recurrence
Mathematics
University of Königsberg
Washington University in St. Louis
Stanford University
Thesis
Doctoral advisor
Wilhelm Wirtinger
Philipp Furtwängler
Paul Rosenbloom
Joseph Ullman
[ˈɡaːborˈsɛɡøː]
mathematical analysts
orthogonal polynomials
Toeplitz matrices

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