Component licences and editable sources

This is a collection of separately licensed mathematical readings. The licence printed in each reading governs that component.

The following adaptations of D. H. Fremlin's freely accessible Measure Theory retain the Design Science License, the original copyright notices, and the warranty disclaimer. Adaptation and additional exposition are identified in each reading.

• Finite Radon representation on locally compact spaces
• Finite Radon products and convolution of measures
• Uniform approximation on locally compact spaces
• Integration and \(L^1\) without a countability assumption
• Haar measure on arbitrary locally compact abelian groups
• Hilbert spaces and unitary representations
• General Haar integration and the modular \(L^1\) algebra
• Dual balls and compact convexity
• Characters and the dual group
• Real-variable calculations for the Fourier examples
• The dual group as the spectrum of \(L^1(G)\)
• Raikov's theorem and the Gelfand–Raikov theorem
• Bochner's theorem through bounded positive functionals
• The Fourier inversion theorem and the dual Haar measure
• The Plancherel theorem
• The Pontryagin duality theorem
• Subgroups, quotients and annihilators
• The Poisson summation formula

The unchanged original source packages are included:

• measure-theory-vol1-2011-source.tar.gz
• measure-theory-vol2-2016-source.tar.gz
• measure-theory-vol4-2013-source.tar.gz

The remaining new exposition is released under CC0 where its component notice says so. Source PDFs used for research are not redistributed with this reader. MathJax retains its software licence and font licences. Every HTML page links to its editable Markdown source; the Markdown is the preferred form for modification.