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Introduction to semi classical analysis for the Schrodinger operators
This note covers the following topics:From classical mechanics to quantum mechanics, Localized version Karadzhov, Uncertainty principle and Weyl term, Localization of the eigen functions, Short introduction to the h pseudo differential calculus, About global classes, Elliptic theory, Essential self adjointness and semi boundedness and functional calculus.
Author(s): B.Helffer
56 Pages 
The Uncertainty Principle in Harmonic Analysis Lecture Notes on Selected Topics
This note contains below topics, Uniqueness problems on Fourier series, Logarithmic integrals on the unitcircle, Fourier uniqueness problems in L2R, Logarithmic integrals on the real line, Small support and amplitudes, The Beurling Malliavin Theorems.
Author(s): Adem Limani
161 Pages
This note contains below topics, Prologue, Notation and main protagonists, Motivation, Unweighted estimates for Tn, Spectral theory for T, Open questions.
Author(s): Oliver Dragi?evi?
77 Pages
This note explains the following topics, linearly related sequences of difference derivatives of discrete orthogonal polynomials, identity for zeros of Bessel functions, Closetoconvexity of some special functions and their derivatives, Monotonicity properties of some Dini functions, Classification of Systems of Linear SecondOrder Ordinary Differential Equations, functions of Hausdorff moment sequences, Van der Corput inequalities for Bessel functions.
Author(s): arXiv.org
NA Pages
This note is for students to have mastered the knowledge of complex function theory in which the classical analysis is based. The main theme of this course note is to explain some fundamentals of classical transcendental functions which are used extensively in number theory, physics,engineering and other pure and applied areas.
Author(s): Edmund Y. M. Chiang
119 Pages