浠婂ぉ锛屼竾鍝插厛闄㈠＋鍦ㄤ腑绉戦櫌鏁板闄妇鍔炵殑

涓婏紝鍋氫簡鎶ュ憡

蹇嗗崕缃楀簹鑰佸笀1950骞村洖鍒版竻鍗庡洯鎵ф暀

鍏朵腑涓昏鏄粙缁嶅崕缃楀簹鍦ㄦ竻鍗庡ぇ瀛︽湰绉戠敓鏁欏宸ヤ綔锛?ldquo;骞夸箟鐭╅樀璁?rdquo;璇剧▼銆傝繖闂ㄨ绋嬬殑澶х翰锛?/span>

鐭╅樀缇?/font> 涓昏鏄吀鍨嬬兢锛屽寘鎷嚎鎬х兢銆佽緵缇ゃ€佹浜ょ兢鍜岄厜缇わ紝璁ㄨ鐨勯棶棰樻槸瀹冧滑鐨勭粨鏋勩€佽嚜鍚屾瀯鍜岃〃绀虹瓑銆?/span>

鐭╅樀鐜?/font> 涓昏鏄悇寮忓悇鏍风殑鐭╅樀鍗曠幆锛屽鍏ㄧ煩闃电粨鍚堝崟鐜€佸悇绉嶇煩闃电粍鎴愮殑鍗曟潕锛?/font>Lie锛夌幆銆佸崟鑻ュ皵褰擄紙Jordan锛夌幆绛夈€傝璁虹殑闂鏄畠浠殑鍒嗙被銆佽嚜鍚屾瀯鍜岃〃绀恒€?/font>

鐭╅樀鍑犱綍 鍖呮嫭绾垮嚑浣曘€佸渾鍑犱綍銆佹牸鎷夋柉鏇硷紙Grassmann锛夊嚑浣曘€侀暱鏂归樀鍑犱綍銆佸绉扮煩闃靛嚑浣曘€佹枩瀵圭О鐭╅樀鍑犱綍绛夌瓑銆傝璁虹殑闂鏄細鍐?/font>-鏂介櫠鐗癸紙von Staudt锛夊畾鐞嗗湪鍚勭被鐭╅樀绌洪棿涓婄殑鎺ㄥ箍鍙婂叾瀵逛唬鏁般€佸嚱鏁拌鐨勫簲鐢紝瀹冧滑鐨勫瓙鍑犱綍绛夌瓑銆?/font>

骞荤伅鐗囦笂瑷€鍙婂崕鍏堢敓鐨勮鐐癸細

銆庣敤鐭╅樀杩欎竴宸ュ叿灏嗚澶氱煡璇嗕覆浜嗚捣鏉ワ紝骞舵寚鍑轰簡鍙戝睍鍓嶉€旓紱鏁翠釜璁茶璁″垝瀹屾垚浠ュ悗锛屽皢浼氱粰璁稿鏁板鍒嗘敮浠ュ喘鏂伴潰璨屻€傘€?/span>

濡傛灉鏄繖鏍风悊瑙ｇ殑璇濓紝閭ｄ箞寰堟槑鏄俱€傜煩闃典唬鏁帮紝鎴栬€呭彨楂樼瓑鐭╅樀璁猴紝搴旇浠嶇劧鍍忓崕鑰佹墍鍊″鐨勯偅鏍凤紝浣滀负鏁板绯婚珮骞寸骇鐨勬牳蹇冭绋嬶紝鑰岀幇瀹炴槸锛屽緢澶氬鏍℃槸娌℃湁杩欓棬璇剧殑銆傛垜浠槸鍚﹀簲閲嶅惊鍗庣綏搴氬厛鐢熶箣璺?/span>锛屽皢“鐭╅樀浠ｆ暟”杩欓棬璇惧紑璧锋潵銆?/span>

濡傛灉鏄繖鏍风悊瑙ｇ殑璇濓紝鍗庤€佸皢“鐭╅樀浠ｆ暟”璁惧畾鍦ㄩ珮骞寸骇浠ｆ暟瀛﹁绋嬩腑鐨勪綅缃紝璺?/font>Princeton澶уE.M. Stein鏁欐巿灏?ldquo;Fourier鍒嗘瀽”璁惧畾鍦ㄥぇ浜屽ぇ涓夊垎鏋愬璇剧▼涓殑浣嶇疆锛岄潪甯哥被浼硷紝鍗崇敤“鐭╅樀浠ｆ暟”/“Fourier鍒嗘瀽”鏉ヤ綔涓洪珮骞寸骇鐨勪唬鏁板璇剧▼/鍒嗘瀽瀛﹁绋嬬殑绾跨储銆?/font>

Stein鏁欐巿鏄?/font>Wolf濂栧緱涓伙紝闂ㄤ笅寮熷瓙涓婄櫨锛屽叾涓湁涓や綅Fields濂栧緱涓汇€?/font>

鎵€浠ワ紝鑳藉惁鍦ㄦ湰绉戠敓浜屼笁骞寸骇鐨勪唬鏁板璇剧▼閭ｆ牱锛屼豢鐓?/font>Stein鍦ㄤ簩涓夊勾绾у垎鏋愬鐨勬暀瀛︾粨鏋勶紙Fourier Analysis, Complex Analysis, Real Analysis, Functional Analysis锛夛紝鍦ㄥぇ浜岀殑绗竴瀛︽湡锛屽皢浠ｆ暟瀛﹁绋嬶紝璁剧疆涓?ldquo;鐭╅樀浠ｆ暟”锛岄澶囩煡璇嗕粎涓哄ぇ涓€楂樼瓑浠ｆ暟鍜屽井绉垎锛岀劧鍚庡湪鍚庣户璇剧▼涓紝铻烘棆涓婂崌寮忓湴鍔犲叆鏇存繁灞傜殑鐭╅樀浠ｆ暟绔犺妭銆?/span>

瀹為檯涓婏紝棣栧笀澶ф暟瀛︾郴鐨勬潹绱嘲鑰佸笀锛屽氨鏇剧粡灏嗗浗澶栧嚭鐗堢殑鏈鐢熸暀鏉愶紝鍦ㄥぇ浜屽勾绾ф湰绉戠敓鐮旇鐝笂璇曡繃涓€瀛︽湡銆?/span>

Kristopher Tapp,  Matrix groups for undergraduates. Student Mathematical Library, 29. American Mathematical Society, Providence, RI, 2005. vi+166 pp. ISBN: 0-8218-3785-0.