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Direct and Inverse Finite-Dimensional Spectral Problems on Graphs (Paperback, 1st ed. 2020)
Loot Price: R3,530
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Direct and Inverse Finite-Dimensional Spectral Problems on Graphs (Paperback, 1st ed. 2020)
Series: Operator Theory: Advances and Applications, 283
Expected to ship within 10 - 15 working days
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Considering that the motion of strings with finitely many masses on
them is described by difference equations, this book presents the
spectral theory of such problems on finite graphs of strings. The
direct problem of finding the eigenvalues as well as the inverse
problem of finding strings with a prescribed spectrum are
considered. This monograph gives a comprehensive and self-contained
account on the subject, thereby also generalizing known results.
The interplay between the representation of rational functions and
their zeros and poles is at the center of the methods used. The
book also unravels connections between finite dimensional and
infinite dimensional spectral problems on graphs, and between
self-adjoint and non-self-adjoint finite-dimensional problems. This
book is addressed to researchers in spectral theory of differential
and difference equations as well as physicists and engineers who
may apply the presented results and methods to their research.
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