{"product_id":"new-aspects-in-interpolation-and-israel-gohberg-9783764329488","title":"New Aspects in Interpolation and Completion Theories","description":"The tangential trigonometric moment problem on an interval and related topics.- 1. Introduction.- 2. Some lemmas on matrix-valued rational functions.- 3. The main result.- 4. The Nevanlinna-Pick problem.- References.- Maximum entropy and joint norm bounds for operator extensions.- 1. Introduction.- 2. A sharp bound in the 2ﾗ2 case.- 3. The maximum entropy method.- 4. An application to integral operators.- References.- Bitangential interpolation for input-output operators of time varying systems: the discrete time case.- 0. Introduction.- 1. Residue calculus and generalized point evaluation.- 2. Pairs of diagonal operators and homogeneous one-sided interpolation.- 3. Bitangential interpolation data set.- 4. Bitangential interpolation in geometric terms.- 5. Intermezzo about admissible Sylvester data sets.- 6. Construction of a particular solution.- 7. Parametrization of all solutions (without norm constraints).- 8. Input-output operators of time-varying systems.- 9. Parametrization of all contractive input-output operators satisfying the bitangential interpolation conditions.- References.- Two-sided tangential interpolation of real rational matrix functions.- 1. Introduction.- 2. Minimal realizations.- 3. Local data.- 4. Two-sided tangential interpolation: existence of real interpolants.- 5. Two-sided tangential interpolation with real-valued data: Description of interpolants.- 6. Degrees of interpolants.- 7. Generalized Nevanlinna-Pick interpolation for real rational matrix functions.- References.- On the spectra of operator completion problems.- 1. Introduction.- 2. Case of finite dimensional spaces.- 3. Case of infinite dimensional spaces.- References.- The exact H2 estimate for the central H? interpolant.- 1. An improved Kaftal-Larson-Weiss estimate.- 2. Some formulas for DB?.- 3. The role of DA?2II0*.- 4. The four block problem.- 5. Optimal solutions.- References.- On mixed H2 - H? tangential interpolation.- 1. Introduction.- 2. Formulas for the central solution.- 3. A state space approach.- 4. Applications of the H2 - H? tangential interpolation problem.- References.- On a completion problem for matrices.- 1. Introduction.- 2. Main theorems in the finite dimensional case.- 3. The full range case.- 4. The proof of the main theorems in the finite dimensional case.- 5. Infinite dimensional case.- References.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Israel Gohberg\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3764329483\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783764329488\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/01\/1993\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 236\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.27lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.61h x 6.69w x 0.56d","brand":"Israel Gohberg","offers":[{"title":"Hardcover","offer_id":44311402742015,"sku":"9783764329488","price":99.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_fdd17b45-9779-4cba-bb27-de63ace51fa9.jpg?v=1695722614","url":"https:\/\/www.whiterainbookhouse.com\/products\/new-aspects-in-interpolation-and-israel-gohberg-9783764329488","provider":"WR Book House","version":"1.0","type":"link"}