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The Analysis of Linear Partial Differential Operators I

by Lars Hörmander · Lars Hörmander

A foundational graduate textbook on distribution theory and Fourier analysis, building the mathematical framework for linear partial differential operators, including Sobolev spaces, wave front sets, and the theory of pseudodifferential operators.

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Graduate-level lecture notes on distribution theory from Paul Garrett's functional analysis course at the University of Minnesota, covering generalized functions, test functions, Fourier transforms, and tempered distributions with worked examples and proofs.

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nLab: Distribution

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