The Spectral Theory of Operators in Hilbert Space by Kurt Otto Friedrichs is a comprehensive guide to the mathematical theory of linear operators in Hilbert spaces. The book covers a wide range of topics, including the spectral theorem for bounded self-adjoint operators, the theory of unbounded operators, and the theory of compact operators. It also includes discussions on the properties of the resolvent and the spectrum of an operator, as well as applications of the theory to differential equations and quantum mechanics. ...
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The Spectral Theory of Operators in Hilbert Space by Kurt Otto Friedrichs is a comprehensive guide to the mathematical theory of linear operators in Hilbert spaces. The book covers a wide range of topics, including the spectral theorem for bounded self-adjoint operators, the theory of unbounded operators, and the theory of compact operators. It also includes discussions on the properties of the resolvent and the spectrum of an operator, as well as applications of the theory to differential equations and quantum mechanics. The book is suitable for graduate students and researchers in mathematics, physics, and engineering who have a strong background in functional analysis and linear algebra. It is written in a clear and concise style, with numerous examples and exercises to help readers understand the material. Overall, the Spectral Theory of Operators in Hilbert Space is an essential reference for anyone interested in the theory of linear operators and its applications.The Present Lectures Intend To Provide An Introduction To The Spectral Analysis Of Self-Joint Operators Within The Framework Of Hilbert Space Theory. The Guiding Notion In This Approach Is That Of Spectral Representation. At The Same Time The Notion Of Function Of An Operator Is Emphasized. The Definition Of Hilbert Space: In Mathematics, A Hilbert Space Is A Real Or Complex Vector Space With A Positive-Definite Hermitian Form, That Is Complete Under Its Norm. Thus It Is An Inner Product Space, Which Means That It Has Notions Of Distance And Of Angle (Especially The Notion Of Orthogonality Or Perpendicularity). The Completeness Requirement Ensures That For Infinite Dimensional Hilbert Spaces The Limits Exist When Expected, Which Facilitates Various Definitions From Calculus. A Typical Example Of A Hilbert Space Is The Space Of Square Summable Sequences. Hilbert Spaces Allow Simple Geometric Concepts, Like Projection And Change Of Basis To Be Applied To Infinite Dimensional Spaces, Such As Function Spaces. They Provide A Context With Which To Formalize And Generalize The Concepts Of The Fourier Series In Terms Of Arbitrary Orthogonal Polynomials And Of The Fourier Transform, Which Are Central Concepts From Functional Analysis. Hilbert Spaces Are Of Crucial Importance In The Mathematical Formulation Of Quantum Mechanics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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Seller's Description:
Good. Covers toned, foxed and shelfworn-crease to corner of front cover-reading crease to cover and corners a little bumped-foxing to edges of text block-Book ow solid, content clean and bright 246 pages. 8vo.
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Seller's Description:
Good in No d/j as Published jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book N.B. Small plain label to inside front cover. Crease to top edge of front cover and bottom corner of rear cover. Covers a little marked.
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Seller's Description:
viii, 244 pp., paperback, minor age-toning and discoloration to covers, else text clean & binding tight. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
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Seller's Description:
Very Good. First edition, 1973, paperback, octavo, 244pp., not illustrated. Book VG with toning and mild soil to wrap, binding tight, previous owner's stamp to half-title, otherwise text clean and unmarked with some toning throughout. No DJ.
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Seller's Description:
Volume 9. This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 500grams, ISBN: 0387900764.