mathematical background

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1: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions

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§1.18(ix) Mathematical Background

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Self-adjoint extensions of a symmetric Operator

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Self-adjoint extensions of (1.18.28) and the Weyl alternative

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2: About the Project

… ►The Digital Library of Mathematical Functions (DLMF) Project was initiated to perform a complete revision of Abramowitz and Stegun’s Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, published in 1964 by the National Bureau of Standards. See R. F. Boisvert and D. W. Lozier (2001) for historical background about this important publication. …The results have been published in book form as the NIST Handbook of Mathematical Functions, by Cambridge University Press, and disseminated in the free electronic Digital Library of Mathematical Functions. … ix–xi in the NIST Handbook of Mathematical Functions. See also the list of Publications for further background information. …

3: Mathematical Introduction

Mathematical Introduction

… ►The mathematical content of the NIST Handbook of Mathematical Functions has been produced over a ten-year period. … ►(These chapters can also serve as background material for university graduate courses in complex variables, classical analysis, and numerical analysis.) … ►His genius in the creation of the National Bureau of Standards Handbook of Mathematical Functions paid enormous dividends to the world’s scientific, mathematical, and engineering communities, and paved the way for the development of the NIST Handbook of Mathematical Functions and NIST Digital Library of Mathematical Functions. … ► Olver, Mathematics Editor