[{"onix":{"RecordReference":"9784903342726","NotificationType":"03","ProductIdentifier":{"ProductIDType":"15","IDValue":"9784903342726"},"DescriptiveDetail":{"ProductComposition":"00","ProductForm":"BA","ProductFormDetail":"B108","TitleDetail":{"TitleType":"01","TitleElement":{"TitleElementLevel":"01","TitleText":{"collationkey":"チョッコウタコウシキニュウモン","content":"直交多項式入門"}}},"Contributor":[{"SequenceNumber":"1","ContributorRole":["A01"],"PersonName":{"collationkey":"アオモトカズヒコ","content":"青本和彦"},"BiographicalNote":"名古屋大学名誉教授"}],"Language":[{"LanguageRole":"01","LanguageCode":"jpn","CountryCode":"JP"}],"Extent":[{"ExtentType":"11","ExtentValue":"208","ExtentUnit":"03"}],"Subject":[{"MainSubject":"","SubjectSchemeIdentifier":"78","SubjectCode":"3041"},{"SubjectSchemeIdentifier":"79","SubjectCode":"17"}],"Audience":[{"AudienceCodeType":"22","AudienceCodeValue":"00"}]},"CollateralDetail":{"TextContent":[{"TextType":"02","ContentAudience":"00","Text":"スペクトル解析を通じて数理物理, 応用数学などに幅広い係わりのある直交多項式の豊穣な世界。数学者による待望の入門書。"},{"TextType":"03","ContentAudience":"00","Text":"スペクトル解析を通じて数理物理, 応用数学などに幅広い係わりのある直交多項式の豊穣な世界。\n数学者による待望の入門書。"},{"TextType":"04","ContentAudience":"00","Text":"第1章　Hermite作用素と直交分解 \n第2章　直交多項式とは \n第3章　直交関数系 \n第4章　重み関数と直交多項式 \n第5章　Hankel行列式 \n第6章　直交多項式の構成 \n第7章　直交多項式の基本的な性質 \n第8章　Jacobi多項式 \n第9章　Jacobi多項式の仲間 \n第10章　古典的直交多項式と静電場の平衡 \n第11章　Jacobi-PerronアルゴリズムとPad´e近似 \n第12章　極限点と極限円 \n第13章　Green関数とスペクトル分解 \n第14章　漸近展開 \n第15章　周期Jacobi行列の場合 \n第16章　Askey-Wilson多項式 \n付録A1　線形作用素としてのJacobi行列 \n付録A2　射影作用素による単位の分解 \n付録A3　Gaussの機械的求積法 \n付録A4　Selberg積分 \n付録A5　スペクトル分解定理 \n付録A6　鞍点法と漸近展開 \n"}],"SupportingResource":[{"ResourceContentType":"01","ContentAudience":"01","ResourceMode":"03","ResourceVersion":[{"ResourceForm":"02","ResourceVersionFeature":[{"ResourceVersionFeatureType":"01","FeatureValue":"D502"},{"ResourceVersionFeatureType":"04","FeatureValue":"9784903342726.jpg"}],"ResourceLink":"https:\/\/cover.openbd.jp\/9784903342726.jpg"}]}]},"PublishingDetail":{"Imprint":{"ImprintIdentifier":[{"ImprintIDType":"19","IDValue":"903342"}],"ImprintName":"数学書房"},"Publisher":{"PublishingRole":"01","PublisherIdentifier":[{"PublisherIDType":"19","IDValue":"903342"}],"PublisherName":"数学書房"},"PublishingDate":[{"PublishingDateRole":"01","Date":"20130415"},{"PublishingDateRole":"25","Date":"20130401"},{"PublishingDateRole":"09","Date":"20130318"}]},"ProductSupply":{"MarketPublishingDetail":{"PublisherRepresentative":[{"AgentRole":"08","AgentIdentifier":[{"AgentIDType":"01","IDTypeName":"取引コード","IDValue":"5706"}],"AgentName":"西村書店"}],"MarketPublishingStatus":"00","MarketPublishingStatusNote":"1;"},"SupplyDetail":{"ProductAvailability":"99","Price":[{"PriceType":"03","PriceAmount":"3200","CurrencyCode":"JPY"}]}}},"hanmoto":{"genshomei":"","han":"","toji":"上製","zaiko":11,"maegakinado":"直交多項式は変数 x 自身が “スペクトル”を表す特殊な状況の直交関数系しかも多項式である．\nそれゆえに比較的扱いやすく，かつ興味ある題材を提供してきたし多分これからもそうであろう．\n本書に登場する直交多項式はすべて実軸上の関数である．\nしかしそのStieltjes変換との係わりを通じて，実関数，複素関数両方にまたがった考察を必要とする．\nそこに直交多項式の面白さがあると言えるであろう．\n著者まえがきより\n","hanmotokarahitokoto":"スペクトル解析を通じて数理物理, 応用数学などに幅広い係わりのある直交多項式の豊穣な世界。\n数学者による待望の入門書。","genrecodetrc":10,"ndccode":"410","zasshicode":"","hatsubai":"","hatsubaiyomi":"","author":[{"listseq":1,"dokujikubun":"著"}],"datemodified":"2024-02-02 13:27:50","datecreated":"2013-03-19 15:30:23","hanmotoinfo":{"name":"数学書房","yomi":"スウガクショボウ","url":"http:\/\/www.sugakushobo.co.jp\/","twitter":"@sugakushobo","facebook":"","chokutori":"","toritsugitorikyo":"","toritsugisonota":"","eigyoudaihyousha":"横山伸","phoneshoten":"","facsimileshoten":"","emailshoten":"","ordersitesonota":"","ordersitejisha":"","henpin":""},"hankeidokuji":"A5判","dateshuppan":"2013-04"},"summary":{"isbn":"9784903342726","title":"直交多項式入門","volume":"","series":"","publisher":"数学書房","pubdate":"20130415","cover":"https:\/\/cover.openbd.jp\/9784903342726.jpg","author":"青本和彦／著"}}]