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Spectral Theory of Infinite Area Hyperbolic Surfaces

This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the;

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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh;

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Hyperbolic Geometry and Applications in Quantum Chaos and Cosmology

are developed as tools in the spectral theory of Laplace-Beltrami operators on modular surfaces. The computation of Maass waveforms and;

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Spectral Geometry

on spectral theory for hyperbolic surfaces, semiclassical analysis, and orbifold spectral geometry that prepared the participants, especially;

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Introduction To Spectral Theory And Inverse Problem On Asymptotically Hyperbolic Manifolds

This manuscript is devoted to a rigorous and detailed exposition of the spectral theory and associated forward and inverse scattering;

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Nonlinear Hyperbolic Equations, Spectral Theory, and Wavelet Transformations

This volume focuses on recent developments in non-linear and hyperbolic equations. It will be a most valuable resource for researchers;

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The Global Theory of Minimal Surfaces in Flat Spaces

moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.;

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Hyperbolic Partial Differential Equations

The theory of hyperbolic equations is a large subject, and its applications are many: fluid dynamics and aerodynamics, the theory;

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Partial Differential Equations: Vol. 1 Foundations and Integral Representations

This encyclopedic work covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two;

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Automorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane

$ kappa _Phi (x,y,z) := -x^{2} -y^{2} + z^{2} + x y z -2 $ and an area form on the level surfaces $kappa _{Phi}^{-1}(k)$.;

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Foliations and the Geometry of 3-Manifolds

dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces;

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Evolution Equations of Hyperbolic and Schrödinger Type: Asymptotics, Estimates and Nonlinearities

Evolution equations of hyperbolic or more general p-evolution type form an active field of current research. This volume aims to collect;

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London Mathematical Society Lecture Note Series

Riemann surfaces is a thriving area of mathematics with applications to hyperbolic geometry, complex analysis, fractal geometry, conformal;

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Hyperbolic Manifolds and Kleinian Groups

of complex analysis as a branch of Teichmuller theory. Later, Thurston brought a revolution to this area with his profound investigation;

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Spectral Analysis Of Differential Operators

the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations;

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Infinite Ergodic Theory of Numbers

By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area;

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Hyperbolic Dynamics, Fluctuations and Large Deviations

of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas such as statistical physics, spectral theory and;

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Infinite Dimensional Optimization and Control Theory

differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation;

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Infinite Dimensional Optimization and Control Theory

differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation;

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Illustrating Mathematics

theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space;

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Topological, Differential and Conformal Geometry of Surfaces

theory of Riemann surfaces. It first covers the prerequisites, including the basics of differential forms, the Poincare Lemma, the Morse Lemma;

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Introduction to Compact Riemann Surfaces and Dessins d'Enfants

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Introduction To Compact Riemann Surfaces And Dessins D'Enfan

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Elementary Differential Geometry

of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations;

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A First Course in Functional Analysis

operators, Hilbert spaces, operators on Hilbert spaces, spectral theory and Banach algebras usually taught as a core course to post-graduate;

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Infinite-Dimensional Analysis

of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics;

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Direct and Inverse Finite-Dimensional Spectral Problems on Graphs

spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem;

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