Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
Classical Analysis I
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 
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
A new look at the John Nirenberg and John Stromberg theorems for BMO Lecture Notes
This note contains below topics, Introduction. Our main question, Notation terminology and some more introduction, Properties of non increasing rearrangements, non increasing functions of one variable in BMO. Some simple calculations, The geometrical component of our proof, Applying our geometrical result. The non increasing rearrangement of a BMO function, Putting all the pieces together, Towards an answer to Question A.
Author(s): Michael Cwikel, Yoram Sagher, Pavel Shvartsman
64 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