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Discover the foundational principles and practical applications of spectral theory with this essential textbook, “SPECTRAL THEORY: Basic Concepts and Applications.” Perfect for graduate students and researchers new to functional analysis, this volume provides a clear, concise introduction. It meticulously builds towards a comprehensive proof of the spectral theorem for unbounded self-adjoint operators. Explore diverse application areas including differential operators, the Dirichlet Laplacian, Schrödinger operators, operators on graphs, and Riemannian manifolds. This text, part of the esteemed “Graduate Texts in Mathematics” series, assumes a background in real and complex analysis and offers crucial functional analysis tools within its pages. Ideal for a one-semester course and a gateway to linear PDE theory, it provides ample references for further exploration.
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