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Titlebook: Quantum Field Theory I: Basics in Mathematics and Physics; A Bridge between Mat Eberhard Zeidler Book 20061st edition Springer-Verlag Berli

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Infinite-Dimensional Hilbert Spaces functions, but also reasonable discontinuous functions which are limits of smooth functions. Here, we use pointwise limits, lim .(.)=.(.) for all .∈Ω, and more general limits in the sense of the averaging over integrals, for example, . Furthermore, it is important to replace the classical Riemann integral by the modern Lebesgue integral.
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978-3-662-50094-1Springer-Verlag Berlin Heidelberg 2006
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https://doi.org/10.1007/978-3-540-34764-4Distribution; Finite; Hilbert space; Operator; Topology; Variable; functional analysis; general relativity;
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PrologueWe begin with some quotations which exemplify the philosophical underpinnings of this work.
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The Challenge of Different Scales in NatureIn physics we frequently have to perform singular limits when passing from one essential scale to another one. There are the following typical examples: . In what follows, let us discuss some basic ideas.
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A Panorama of the LiteratureFrom the mathematical point of view, we recommend the following books for first reading in quantum mechanics:
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