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Lecture Notes

The lecture notes are available below in their entirety (100 page document) or by individual chapters. In order to access documents in PDF format on this page, Adobe® Reader® 6.0 (or the latest version) is required. Versions before Adobe® Reader® 6.0 cannot handle these files.  To download the latest version of Adobe® Reader®, go to:  http://www.adobe.com/products/acrobat/readermain.html.
Lecture Notes (entire document) (PDF - 1.9 MB)

Lecture Notes by Chapter

Introduction (PDF)

Continuous functions (PDF)

Measures and σ -algebras (PDF)

Integration (PDF)

Hilbert space (PDF)

Test functions (PDF)

Tempered distributions (PDF)

Convolution and density (PDF)

Fourier inversion (PDF)

Sobolev embedding (PDF)

Differential operators (PDF)

Problems (PDF)

References (PDF)