{"product_id":"9781461429692","title":"Developments in Mathematics: Analytic Hypoellipticity and the Courage to Localize High Powers of T","description":"\u003ch1\u003eDevelopments in Mathematics: Analytic Hypoellipticity and the Courage to Localize High Powers of T\u003c\/h1\u003e \u003ch2\u003eTartakoff, David S.\u003c\/h2\u003e \u003cp\u003eThis book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to localize the analysis of high powers of derivatives in the so-called bad direction. It is hoped that this work will permit a far greater audience of researchers to come to a deep understanding of this technique and its power and flexibility.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-08-15\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781461429692\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4419-9813-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 203\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":46539796611212,"sku":"9781461429692","price":98.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781461429692.jpg?v=1775682136","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781461429692","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}