{"product_id":"9781461257875","title":"Contemporary Mathematicians: 1945–1972","description":"\u003ch1\u003eContemporary Mathematicians: 1945–1972\u003c\/h1\u003e \u003ch2\u003eSzegö, Gabor P.\u003c\/h2\u003e \u003cp\u003e1. 1. Definition of L-forms. In the years 1907-1911 O. Toeplitz [21, 22, 23, 24]* studied a class of quadratic forms whose matrix is of the follO\\\\\"ing type: (Ll) C-2 C_I Co C-n-I Cn-I The elements Cn are given complex constants. Toeplitz designated these forms as L-forms and investigated in detail their relation to the analytic function defined in a neighborhood of the unit circle by the Laurent series 2; C z\", n = n - 00, . . . , 00; this series is assumed to be convergent in a certain circular ring rl \u0026lt; I z I \u0026lt; r2, rl \u0026lt; 1 \u0026lt; r2. It is obvious that these matrices are connected with the infinite cyclic group, just as the finite cyclic matrix CO CI C2 C Co CI n r (1. 2) Cn-I C Co n L. c, c, Co is associated with the finite cyclic group. The main result of Toeplitz is that the spectrum of the L-form is identical with the complex values the Laurent series assumes on the unit circle I z I = 1. 1. 2. Hermitian forms. The case C = en is of particular importance; the n matrix (1. 1) is in this case a Hermitian one and the associated Laurent series i8 represents a real function f(8) on the unit circle z = e , -'II\" ~ 8 \u0026lt; '11\".\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-10-12\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781461257875\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-5785-1\u003c\/p\u003e \u003cp\u003eDimensions: 254cm x178cm\u003c\/p\u003e \u003cp\u003ePages: 880\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":46541715570828,"sku":"9781461257875","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781461257875.jpg?v=1775747036","url":"https:\/\/lateknightbooks.com\/products\/9781461257875","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}