Exam with solutions:  Exam-VT19_sol_.pdf


The administration of the course is organized by SU.


First day of the class: Jan. 21, Monday: 13:15--15:00,

KTH, Lindstedtsv. 25, Room 3418,

Total 6 lectures at KTH


Measure and Integration (5 lectures):


Some background and introduction

Signed measures and Hahn-decomposition,

Metric outer measures,

Radon-Nikodym derivative,

Lebesgue decomposition,


Sections: (1.8--1.9) 1.10, 2.12-2.13, 4.14



Applications (1 lecture):

Geometric measure theory (Hausdorff and other measures)

Notes: Henriks-notes-Application.pdf


Prerequisites:  Real and Advanced Analysis I, SF2743, or equivalent.


Literature:   A. Friedman, Foundations of Modern Analysis, Dover 1982