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  • Homogenisation of Laminated Metamaterials and the Inner Spectrum

    Series series Mathematics and Statistics (R0)
    This book investigates homogenisation problems for divergence form equations with rapidly sign-changing coefficients. Focusing on problems with piecewise constant, scalar coefficients in a (d-dimensional) crosswalk type shape, we will provide a limit procedure in order to understand potentially ill-posed and non-coercive settings.Depending on the integral mean of the coefficient and its inverse, ... Read more

    $44.99 USD

  • Systems Theory and PDEs

    Open Problems, Recent Results, and New Directions

    Series series Springer Nature Proceedings excluding Computer Science
    This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from the first “Workshop on Systems Theory and PDEs” (WOSTAP), held at TU Bergakademie Freiberg in July 2022. The main topics covered include:Differential algebraic equationsPort-Hamiltonian systems in ... Read more

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  • A Primer for a Secret Shortcut to PDEs of Mathematical Physics

    Series series Mathematics and Statistics (R0)
    This book presents a concise introduction to a unified Hilbert space approach to the mathematical modellingof physical phenomena which has been developed over recent years by Picard and his co-workers. The main focus is on time-dependent partial differential equations with a particular structure in the Hilbert space setting that ensures well-posedness and causality, two essential properties of any ... Read more

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  • The Callias Index Formula Revisited

    Series series Mathematics and Statistics (R0)
    These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., nonrelativistic and relativistic quantum mechanics, condensed matter physics, and quantum field theory), there is much ... Read more

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  • Evolutionary Equations

    Picard's Theorem for Partial Differential Equations, and Applications

    Series series Mathematics and Statistics (R0)
    This open access book provides a solution theory for time-dependent partial differential equations, which classically have not been accessible by a unified method. Instead of using sophisticated techniques and methods, the approach is elementary in the sense that only Hilbert space methods and some basic theory of complex analysis are required. Nevertheless, key properties of solutions can be ... Read more

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    Series Book 206 - Cambridge Tracts in Mathematics
    This monograph is a progressive introduction to non-commutativity in probability theory, summarizing and synthesizing recent results about classical and quantum stochastic processes on Lie algebras. In the early chapters, focus is placed on concrete examples of the links between algebraic relations and the moments of probability distributions. The subsequent chapters are more advanced and deal ... Read more

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  • Convexity and Optimization in Banach Spaces

    Series series Mathematics and Statistics (R0)
    An updated and revised edition of the 1986 title Convexity and Optimization in Banach Spaces, this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the ... Read more

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  • Periods And Special Functions In Transcendence

    Series series Advanced Textbooks In Mathematics
    'The book is mainly addressed to the non-expert reader, in that it assumes only a little background in complex analysis and algebraic geometry, but no previous knowledge in transcendental number theory is required. The technical language is introduced smoothly, and illustrative examples are provided where appropriate … The book is carefully written, and the relevant literature is provided in the ... Read more

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  • Partial Differential Equations

    Theory and Numerical Solution

    by J. Necas ...
    Series series Chapman & Hall/CRC Research Notes in Mathematics Series
    As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging ... Read more

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  • Szegő's Theorem and Its Descendants

    Spectral Theory for L2 Perturbations of Orthogonal Polynomials

    by Barry Simon ...
    Series series Porter Lectures
    This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that until now has been available only in journals. Topics include background from the theory of meromorphic ... Read more

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  • Highlights in Lie Algebraic Methods

    Series series Mathematics and Statistics (R0)
    This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac–Moody superalgebras, categories of Harish–Chandra modules, ... Read more

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  • Analysis On Manifolds

    A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts. ... Read more

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