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Salomon Bochner

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in 1945 to 1948. He was appointed as Henry Burchard Fine Professor in 1959, retiring in 1968. Although he was seventy years old when he retired from Princeton, Bochner was appointed as Edgar Odell Lovett Professor of Mathematics at
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Lectures on Fourier integrals; with an author's supplement on monotonic functions, Stieltjes integrals, and harmonic analysis. Translated from the original by Morris Tenenbaum and Harry Pollard
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and went on to hold this chair until his death in 1982. He became Head of Department at Rice in 1969 and held this position until 1976. He died in
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in 1914, his family moved to Germany, seeking greater security. Bochner was educated at a
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Boothby, William M. (1954). "Book Review: Curvature and Betti numbers".
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from 1924 to 1933. His academic career in Germany ended after the
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Eclosion and synthesis; perspectives on the history of knowledge
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appeared in a 1932 book. His techniques came into their own as
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Jewish emigrants from Nazi Germany to the United States
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Institute for Advanced Study: A Community of Scholars
438:, as it is now called, for vector-valued functions. 601: 1153: 1118: 1205: 1185:National Academy of Sciences Biographical Memoir 671:. Houston, Texas: William Marsh Rice University. 651:Selected mathematical papers of Salomon Bochner 626:Harmonic Analysis and the Theory of Probability 1259:Institute for Advanced Study visiting scholars 1121:The Role of Mathematics in the Rise of Science 641:. Princeton, N.J.: Princeton University Press. 551:. Princeton, N.J.: Princeton University Press. 1094:Bulletin of the American Mathematical Society 1065:Bulletin of the American Mathematical Society 990:Bulletin of the American Mathematical Society 666: 657: 648: 636: 622: 557: 546: 537: 525: 1196: 639:Role of mathematics in the rise of science 306:(20 August 1899 – 2 May 1982) was a 31: 1076: 1017:Cooper, J. L. B. (1949). "Reviewed work: 1001: 899: 897: 608:. Princeton: Princeton University Press. 590:Bochner, S.; Chandrasekharan, K. (1949). 581:Bochner, S.; Martin, William Ted (1948). 480:from 1946 was published. Joint work with 980: 519: 1165:MacTutor History of Mathematics Archive 1091: 784: 749: 714: 675: 418:In 1925 he started work in the area of 389:in 1933, and he left for a position at 1206: 1021:Salomon Bochner, William Ted Martin". 1016: 894: 540:Vorlesungen ĂĽber Fouriersche Integrale 532:Akademische Verlagsgesellschaft m.b.H. 528:Vorlesungen ĂĽber Fouriersche Integrale 450:and then the representation theory of 1119:Cannon, Walter F. (1967). "Review of 1055: 1229:20th-century American mathematicians 1224:20th-century Austrian mathematicians 413: 365:(secondary school), and then at the 594:. Princeton: Princeton Univ. Press. 585:. Princeton: Princeton Univ. Press. 393:. He was a visiting scholar at the 350:. Fearful of a Russian invasion in 13: 1274:Jews from Galicia (Eastern Europe) 788:(1992), Gunning, Robert C. (ed.), 753:(1992), Gunning, Robert C. (ed.), 718:(1992), Gunning, Robert C. (ed.), 454:developed in the following years. 434:arguments. In 1933 he defined the 16:Austrian mathematician (1899–1982) 14: 1320: 1147: 1061:"Book Review: Fourier transforms" 827:Bochner almost periodic functions 629:. University of California Press. 484:(1912–1993) led to the 1953 book 1112: 1106:10.1090/S0002-9904-1954-09834-8 1085: 1078:10.1090/S0002-9904-1950-09436-1 1003:10.1090/S0002-9904-1933-05565-9 832:Bochner–Kodaira–Nakano identity 560:Lectures on commutative algebra 488:. It had consequences, for the 1049: 1010: 974: 948: 937: 912: 868: 854: 602:Yano, K.; Bochner, S. (1953). 422:, simplifying the approach of 1: 1180:Mathematics Genealogy Project 924:Mathematics Genealogy Project 908:Mathematics Genealogy Project 847: 796:American Mathematical Society 761:American Mathematical Society 726:American Mathematical Society 691:American Mathematical Society 461:, posing the question of the 369:. There, he was a student of 346:), then Austria-Hungary, now 1294:Princeton University faculty 542:. New York: Chelsea Pub. Co. 395:Institute for Advanced Study 186:Institute for Advanced Study 7: 842:Bochner measurable function 820: 662:. New York: W. A. Benjamin. 653:. New York: W. A. Benjamin. 605:Curvature and Betti numbers 486:Curvature and Betti Numbers 457:Subsequently, he worked on 10: 1325: 1264:Jewish American scientists 669:Einstein between centuries 572:: CS1 maint: postscript ( 506:Bochner–Martinelli formula 472:In differential geometry, 124:Bochner–Martinelli formula 1019:Several Complex Variables 920:"Bernard Russell Gelbaum" 583:Several complex variables 510:Several Complex Variables 502:several complex variables 500:. Bochner also worked on 469:behaves under rotations. 420:almost periodic functions 297: 207: 195: 173: 163: 156: 145: 95: 85: 67: 42: 30: 23: 1170:University of St Andrews 1023:The Mathematical Gazette 791:Collected papers. Part 4 756:Collected papers. Part 3 721:Collected papers. Part 2 686:Collected papers. Part 1 490:Kodaira vanishing theory 1304:Rice University faculty 459:multiple Fourier series 329: 292:Bernard Russell Gelbaum 1309:Scientists from Berlin 1249:Differential geometers 1239:Austrian Orthodox Jews 1234:American Orthodox Jews 452:locally compact groups 128:Bochner–Minlos theorem 120:Bochner's tube theorem 1299:Probability theorists 1279:Mathematical analysts 1123:by Salomon Bochner". 520:Selected publications 494:representation theory 324:differential geometry 316:mathematical analysis 1254:German Orthodox Jews 1156:Robertson, Edmund F. 794:, Providence, R.I.: 759:, Providence, R.I.: 724:, Providence, R.I.: 689:, Providence, R.I.: 667:Bochner, S. (1979). 658:Bochner, S. (1969). 649:Bochner, S. (1969). 637:Bochner, S. (1966). 623:Bochner, S. (1955). 558:Bochner, S. (1938). 547:Bochner, S. (1959). 538:Bochner, S. (1948). 526:Bochner, S. (1932). 432:approximate identity 391:Princeton University 383:University of Munich 379:escalating inflation 367:University of Berlin 354:at the beginning of 314:, known for work in 182:Princeton University 178:University of Munich 136:Bochner–Yano theorem 90:University of Berlin 1154:O'Connor, John J.; 956:"Bochner biography" 463:Bochner–Riesz means 387:Nazis came to power 334:He was born into a 962:on 7 November 2019 681:Gunning, Robert C. 592:Fourier transforms 448:Pontryagin duality 444:Fourier transforms 320:probability theory 232:Hillel Furstenberg 132:Bochner–Riesz mean 1284:Measure theorists 1160:"Salomon Bochner" 837:Bochner Laplacian 805:978-0-8218-0177-2 770:978-0-8218-0176-5 735:978-0-8218-0175-8 700:978-0-8218-0174-1 474:Bochner's formula 440:Bochner's theorem 414:Mathematical work 301: 300: 288:Gerard Washnitzer 276:Joseph H. Sampson 244:Sigurdur Helgason 208:Doctoral students 158:Scientific career 116:Bochner's theorem 100:Bochner's formula 1316: 1244:Complex analysts 1200: 1172: 1141: 1140: 1116: 1110: 1109: 1089: 1083: 1082: 1080: 1053: 1047: 1046: 1029:(305): 218–220. 1014: 1008: 1007: 1005: 982:Franklin, Philip 978: 972: 971: 969: 967: 958:. Archived from 952: 946: 941: 935: 934: 932: 930: 916: 910: 901: 892: 891: 889: 887: 878:. Archived from 872: 866: 865: 858: 816: 786:Bochner, Salomon 781: 751:Bochner, Salomon 746: 716:Bochner, Salomon 711: 677:Bochner, Salomon 672: 663: 654: 642: 630: 619: 595: 586: 577: 571: 563: 552: 543: 534: 436:Bochner integral 284:William A. Veech 228:Charles L. Dolph 197:Doctoral advisor 150:AMS Steele Prize 140:Formal group law 108:Bochner integral 104:Bochner identity 74: 52: 50: 35: 21: 20: 1324: 1323: 1319: 1318: 1317: 1315: 1314: 1313: 1204: 1203: 1190:Salomon Bochner 1176:Salomon Bochner 1150: 1145: 1144: 1117: 1113: 1090: 1086: 1054: 1050: 1035:10.2307/3611424 1015: 1011: 979: 975: 965: 963: 954: 953: 949: 942: 938: 928: 926: 918: 917: 913: 904:Salomon Bochner 902: 895: 885: 883: 874: 873: 869: 860: 859: 855: 850: 823: 806: 771: 736: 701: 616: 565: 564: 522: 512:from 1948 with 467:Euclidean space 416: 400:Rice University 332: 304:Salomon Bochner 290: 286: 282: 278: 274: 270: 266: 264:Paco Lagerstrom 262: 258: 254: 250: 246: 242: 240:Israel Halperin 238: 234: 230: 226: 222: 218: 214: 190:Rice University 188: 184: 180: 138: 134: 130: 126: 122: 118: 114: 110: 106: 102: 86:Alma mater 81: 76: 72: 63: 61:Austria-Hungary 54: 48: 46: 38: 26: 25:Salomon Bochner 17: 12: 11: 5: 1322: 1312: 1311: 1306: 1301: 1296: 1291: 1286: 1281: 1276: 1271: 1266: 1261: 1256: 1251: 1246: 1241: 1236: 1231: 1226: 1221: 1216: 1202: 1201: 1187: 1182: 1173: 1149: 1148:External links 1146: 1143: 1142: 1137:10.1086/350200 1111: 1100:(4): 404–406. 1084: 1071:(6): 526–529. 1048: 1009: 996:(3): 184–185. 973: 947: 936: 911: 893: 882:on 9 June 2015 867: 852: 851: 849: 846: 845: 844: 839: 834: 829: 822: 819: 818: 817: 804: 782: 769: 747: 734: 712: 699: 673: 664: 655: 646: 634: 620: 614: 599: 587: 578: 555: 554: 553: 544: 521: 518: 498:spin manifolds 415: 412: 404:Houston, Texas 375:Bergman kernel 371:Erhard Schmidt 331: 328: 299: 298: 295: 294: 236:Robert Gunning 216:Eugenio Calabi 209: 205: 204: 202:Erhard Schmidt 199: 193: 192: 175: 171: 170: 165: 161: 160: 154: 153: 147: 143: 142: 97: 96:Known for 93: 92: 87: 83: 82: 79:Houston, Texas 77: 75:(aged 82) 69: 65: 64: 55: 53:20 August 1899 44: 40: 39: 36: 28: 27: 24: 15: 9: 6: 4: 3: 2: 1321: 1310: 1307: 1305: 1302: 1300: 1297: 1295: 1292: 1290: 1289:PDE theorists 1287: 1285: 1282: 1280: 1277: 1275: 1272: 1270: 1267: 1265: 1262: 1260: 1257: 1255: 1252: 1250: 1247: 1245: 1242: 1240: 1237: 1235: 1232: 1230: 1227: 1225: 1222: 1220: 1217: 1215: 1212: 1211: 1209: 1199: 1195: 1191: 1188: 1186: 1183: 1181: 1177: 1174: 1171: 1167: 1166: 1161: 1157: 1152: 1151: 1138: 1134: 1130: 1126: 1122: 1115: 1107: 1103: 1099: 1095: 1088: 1079: 1074: 1070: 1066: 1062: 1058: 1052: 1044: 1040: 1036: 1032: 1028: 1024: 1020: 1013: 1004: 999: 995: 991: 987: 983: 977: 961: 957: 951: 945: 940: 925: 921: 915: 909: 905: 900: 898: 881: 877: 871: 863: 857: 853: 843: 840: 838: 835: 833: 830: 828: 825: 824: 815: 811: 807: 801: 797: 793: 792: 787: 783: 780: 776: 772: 766: 762: 758: 757: 752: 748: 745: 741: 737: 731: 727: 723: 722: 717: 713: 710: 706: 702: 696: 692: 688: 687: 682: 678: 674: 670: 665: 661: 656: 652: 647: 645: 640: 635: 633: 628: 627: 621: 617: 611: 607: 606: 600: 598: 593: 588: 584: 579: 575: 569: 561: 556: 550: 545: 541: 536: 535: 533: 529: 524: 523: 517: 515: 511: 508:and the book 507: 503: 499: 495: 491: 487: 483: 479: 475: 470: 468: 464: 460: 455: 453: 449: 445: 441: 437: 433: 429: 425: 421: 411: 409: 405: 401: 396: 392: 388: 384: 380: 376: 372: 368: 364: 361: 357: 353: 349: 345: 341: 337: 327: 325: 321: 317: 313: 312:mathematician 309: 305: 296: 293: 289: 285: 281: 280:Herbert Scarf 277: 273: 269: 265: 261: 260:Anthony Knapp 257: 256:Samuel Karlin 253: 249: 245: 241: 237: 233: 229: 225: 221: 217: 213: 212:Richard Askey 210: 206: 203: 200: 198: 194: 191: 187: 183: 179: 176: 172: 169: 166: 162: 159: 155: 151: 148: 144: 141: 137: 133: 129: 125: 121: 117: 113: 112:Bochner space 109: 105: 101: 98: 94: 91: 88: 84: 80: 70: 66: 62: 58: 45: 41: 34: 29: 22: 19: 1194:Find a Grave 1163: 1128: 1124: 1120: 1114: 1097: 1093: 1087: 1068: 1064: 1057:Segal, I. E. 1051: 1026: 1022: 1018: 1012: 993: 989: 976: 964:. Retrieved 960:the original 950: 939: 927:. Retrieved 923: 914: 884:. Retrieved 880:the original 870: 856: 790: 785: 755: 750: 720: 715: 685: 676: 668: 659: 650: 644:2014 reprint 638: 632:2013 reprint 625: 604: 597:2016 reprint 591: 582: 559: 548: 539: 527: 514:W. T. Martin 509: 485: 482:Kentaro Yano 471: 456: 417: 408:Orthodox Jew 406:. He was an 333: 303: 302: 252:Gilbert Hunt 220:Jeff Cheeger 174:Institutions 157: 73:(1982-05-02) 18: 1219:1982 deaths 1214:1899 births 1131:: 119–120. 966:25 February 530:. Leipzig: 428:compactness 424:Harald Bohr 356:World War I 272:Harry Rauch 268:Lynn Loomis 224:M. T. Cheng 168:Mathematics 1208:Categories 848:References 615:0691095833 426:by use of 338:family in 71:2 May 1982 49:1899-08-20 37:circa 1970 886:8 January 568:cite book 478:curvature 363:gymnasium 248:Carl Herz 1059:(1950). 984:(1933). 929:28 March 821:See also 679:(1992), 340:PodgĂłrze 308:Galizien 57:PodgĂłrze 1178:at the 1043:3611424 906:at the 814:1151393 779:1151392 744:1151391 709:1151390 683:(ed.), 352:Galicia 1041:  812:  802:  777:  767:  742:  732:  707:  697:  612:  496:, and 360:Berlin 348:Poland 344:KrakĂłw 342:(near 336:Jewish 310:-born 164:Fields 146:Awards 1039:JSTOR 504:(the 1125:Isis 968:2008 931:2021 888:2015 800:ISBN 765:ISBN 730:ISBN 695:ISBN 610:ISBN 574:link 430:and 330:Life 322:and 152:1979 68:Died 43:Born 1192:at 1133:doi 1102:doi 1073:doi 1031:doi 998:doi 516:). 476:on 442:on 1210:: 1168:, 1162:, 1158:, 1129:58 1127:. 1098:60 1096:. 1069:56 1067:. 1063:. 1037:. 1027:33 1025:. 994:39 992:. 988:. 922:. 896:^ 810:MR 808:, 798:, 775:MR 773:, 763:, 740:MR 738:, 728:, 705:MR 703:, 693:, 570:}} 566:{{ 492:, 410:. 326:. 318:, 59:, 1139:. 1135:: 1108:. 1104:: 1081:. 1075:: 1045:. 1033:: 1006:. 1000:: 970:. 933:. 890:. 864:. 618:. 576:) 51:) 47:(

Index


PodgĂłrze
Austria-Hungary
Houston, Texas
University of Berlin
Bochner's formula
Bochner identity
Bochner integral
Bochner space
Bochner's theorem
Bochner's tube theorem
Bochner–Martinelli formula
Bochner–Minlos theorem
Bochner–Riesz mean
Bochner–Yano theorem
Formal group law
AMS Steele Prize
Mathematics
University of Munich
Princeton University
Institute for Advanced Study
Rice University
Doctoral advisor
Erhard Schmidt
Richard Askey
Eugenio Calabi
Jeff Cheeger
M. T. Cheng
Charles L. Dolph
Hillel Furstenberg

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