Introduction to Hilbert Spaces with Applications.
Classical and Multilinear Harmonic Analysis: Topics in Mathematical Analysis and Applications. Introduction to Matrix Analysis and Applications. Foundations of Ergodic Theory. Trends in Contemporary Mathematics.
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Dynamic Inequalities On Time Scales. How to write a great review. The review must be at least 50 characters long.
The title should be at least 4 characters long. Your display name should be at least 2 characters long. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces.
A course in complex analysis and Riemann surfaces in SearchWorks catalog
The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor.
From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: Spectral Theory and Quantum Mechanics. The Skeleton Key of Mathematics. Structure and Geometry of Lie Groups. Integral, Measure and Derivative.
Linear Algebra and Its Applications. Advanced Mathematics for Applications. Mathematical Analysis and its Applications. A Polynomial Approach to Linear Algebra. Functionals of Finite Riemann Surfaces. Introduction to Global Analysis. Excursions in Harmonic Analysis, Volume 3.
Structure and Geometry of Lie Groups
Introduction to Hilbert Spaces with Applications. Classical and Multilinear Harmonic Analysis: Topics in Mathematical Analysis and Applications.
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Trends in Contemporary Mathematics. Nonlinearity and Functional Analysis. Fourier Analysis and Hausdorff Dimension.