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Название: MathMethods Of Modern Mathematical Physics. Volume 4. Analysis Of Operators
Авторы: Reed M., Simon B.
Bestseller of the XXth Century in Mathematical Physics voted on by participants of the XIIIth International Congress on Mathematical Physics. This revision will make this book more attractive as a textbook in functional analysis. Further refinement of coverage of physical topics will also reinforce its well-established use as a course book in mathematical physics. This book covers the theory of eigenvalues of Schrodinger operators. It clearly explains the basic concepts involved: perturbation theory (summability questions, Fermi's golden rule), min-max principle for discrete spectrum, Weyl theorem, HVZ theorem, the absence of singular continuous spectrum, ground state questions, periodic operators, semi-classic distribution of eigenvalues, compactness criteria.