It takes the average reader 4 hours and 10 minutes to read Introduction to the Spectral Theory of Polynomial Operator Pencils by A. S. Markus
Assuming a reading speed of 250 words per minute. Learn more
This monograph contains an exposition of the foundations of the spectral theory of polynomial operator pencils acting in a Hilbert space. Spectral problems for polynomial pencils have attracted a steady interest in the last 35 years, mainly because they arise naturally in such diverse areas of mathematical physics as differential equations and boundary value problems, controllable systems, the theory of oscillations and waves, elasticity theory, and hydromechanics. In this book, the author devotes most of his attention to the fundamental results of Keldysh on multiple completeness of the eigenvectors and associate vectors of a pencil, and on the asymptotic behavior of its eigenvalues and generalizations of these results. The author also presents various theorems on spectral factorization of pencils which grew out of known results of M. G. Krein and Heinz Langer. A large portion of the book involves the theory of selfadjoint pencils, an area having numerous applications. Intended for mathematicians, researchers in mechanics, and theoretical physicists interested in spectral theory and its applications, the book assumes a familiarity with the fundamentals of spectral theory of operators acting in a Hilbert space.
Introduction to the Spectral Theory of Polynomial Operator Pencils by A. S. Markus is 250 pages long, and a total of 62,500 words.
This makes it 84% the length of the average book. It also has 76% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 41 minutes to read Introduction to the Spectral Theory of Polynomial Operator Pencils aloud.
Introduction to the Spectral Theory of Polynomial Operator Pencils is suitable for students ages 12 and up.
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