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  • A Primer on Hilbert Space Theory

    Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

    Series series Physics and Astronomy (R0)
    This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for providing an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, lies in ... Read more

    $58.99 USD

  • A Primer on Hilbert Space Theory

    Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

    Series series Physics and Astronomy (R0)
    This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high ... Read more

    $58.49 USD

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    PSPDE IV, Braga, Portugal, December 2015

    Series series Springer Nature Proceedings excluding Computer Science
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  • Extensions of Positive Definite Functions

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    Series series Mathematics and Statistics (R0)
    This monograph deals with the mathematics of extending given partial data-sets obtained from experiments;Experimentalists frequently gather spectral data when the observed data is limited, e.g., by the precision of instruments; or by other limiting external factors. Here the limited information is a restriction, and the extensions take the form of full positive definite function on some prescribed ... Read more

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  • Groupoid Metrization Theory

    With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

    Series series Mathematics and Statistics (R0)
    The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided.Unique features of Metrization Theory for Groupoids: ... Read more

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  • Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1)

    Celebrating Cora Sadosky's life

    Series series Springer Nature Proceedings excluding Computer Science
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  • Advances In The Homotopy Analysis Method

    by Shijun Liao ...
    Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters. Besides, it provides great freedom to choose equation type and solution expression of related linear high-order approximation equations. The HAM provides a simple way to guarantee the convergence of solution series. Such uniqueness differentiates the HAM from all other analytic ... Read more

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  • Functional Analysis and the Feynman Operator Calculus

    This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting. In one application, the results are used to prove the last two remaining conjectures of Freeman Dyson for quantum electrodynamics. In another application, ... Read more

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  • Introduction to Measure Theory and Functional Analysis

    Series series Mathematics and Statistics (R0)
    This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two ... Read more

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  • Quantum Measurement

    Series series Physics and Astronomy (R0)
    This is a book about the Hilbert space formulation of quantum mechanics and its measurement theory. It contains a synopsis of what became of the Mathematical Foundations of Quantum Mechanics since von Neumann’s classic treatise with this title. Fundamental non-classical features of quantum mechanics—indeterminacy and incompatibility of observables, unavoidable measurement disturbance, entanglement ... Read more

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  • Handbook of Functional Equations

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    This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, ... Read more

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    The eigenvalue densities in various matrix models in quantum chromodynamics (QCD) are ultimately unified in this book by a unified model derived from the integrable systems. Many new density models and free energy functions are consequently solved and presented. The phase transition models including critical phenomena with fractional power-law for the discontinuities of the free energies in the ... Read more

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