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Advanced Real Analysis I

An advanced course in real analysis, with applications in Fourieranalysis, ergodic theory, probability theory, Sobolev spaces and partial differential equations.

The course covers measure theory, integration and functional analysis, integration of measurable functions (Lebesgue integrals), convergence theorems, product measures, Fubini's theorem, Banach spaces including the LP spaces and fundamental theorems on linear operators and functionals.

This course replaces MM8037 Advanced Real Analysis I.

This course is given jointly by Stockholm University and KTH, and part of the course is given at KTH. The exam is given at KTH. More information can be found on the course web before the start of the semester, see link below.

  • Course structure

    The course consists of one element.

    Teaching format

    Instruction is given in the form of lectures and exercises.


    The course is assessed through written examination and for higher grades (A and B) also oral examination.

    For information on how to sign up for exams at KTH, see Exam information.


    A list of examiners can be found on

    Exam information

  • Schedule

    The schedule will be available no later than one month before the start of the course. We do not recommend print-outs as changes can occur. At the start of the course, your department will advise where you can find your schedule during the course.

    The schedules for the KTH and SU parts of the course may be shown separately.

    Schedule for SF2743 at KTH

  • Course literature

    Note that the course literature can be changed up to two months before the start of the course.

    Friedman: Foundations of modern analysis. Dover.

    List of course literature Department of Mathematics

  • More information

    New student
    During your studies

    Course web

    We do not use Athena, you can find our course webpages on

    There may be another course web for the part of the course given at KTH. If so, this should be linked from the course web at Stockholm University found via the link above.

  • Contact