Mathematics: Harmonic Analysis
Course · 7.5 credits
The course gives an introduction to the principles and techniques of modern harmonic analysis, and enables the students to apply these techniques to a wide range of mathematical problems.
The course treats the maximal function, the space BMO (the space of functions of bounded mean oscillation) and the Carleson embedding theorem, Muckenhoupt weights, fundamental operators of harmonic analysis such as singular integral operators (in particular the Hilbert transform) and the square function. The course gives an introduction to modern discretisation techniques of harmonic analysis, such as wavelets (in particular the Haar wavelet) and sparse domination. Examples of applications in other areas of mathematics, such as partial differential equations, and outside mathematics are included.
More information can be found at http://www.maths.lu.se/english/education/
Closed for applicationsApplication opportunities
Mathematics (Faculty of Sciences)
Sölvegatan 18, 223 62 Lund
Box 118, 221 00 Lund
+46 46 222 85 41
kjell [dot] elfstrom [at] math [dot] lu [dot] se
Requirements and selection
At least 90 credits in mathematics. In addition it is required that the student has taken the courses MATB24 Linear Analysis, 7.5 credits and MATM19 Integration Theory, 7.5 credits, or has comparable knowledge. The courses MATM18 Fourier Analysis, 7.5 credits and MATM12 Analytic Functions, 15 credits, are recommended, but not compulsory. English 6 /English courseB.
Seats are allocated according to: Previous college/university studies (APAV): 100 %.
English language requirements
Most of Lund University’s programmes require English Level 6 (unless otherwise stated under 'Entry requirements'). This is the equivalent of an overall IELTS score of 6.5 or a TOEFL score of 90. There are several ways to prove your English language proficiency – check which proof is accepted at the University Admissions in Sweden website. All students must prove they meet English language requirements by the deadline, in order to be considered for admission.
How to apply
Lund University uses a national application system run by University Admissions in Sweden. It is only possible to apply during the application periods.
Step 1: Apply online
- Check that you meet the entry requirements of the programme or course you are interested in (refer to the section above on this webpage).
- Start your application – go to www.universityadmissions.se where you create an account and select programmes/courses, during the application period.
- Rank your programme/course choices in order of preference and submit them before the application deadline.
Step 2: Submit documents
- Read about how to document your eligibility and how to submit your documents at www.universityadmissions.se. Follow any country-specific document rules for Master's studies or Bachelor's studies.
- Get all your documents ready: official transcripts and high school diploma (Bachelor's applicants), official transcripts and degree certificate or proof of expected graduation (Master's applicants), passport/ID and proof of English proficiency (all applicants).
- Prepare programme-specific documents if stated in the adjacent column on this webpage.
- Upload or send all required documents to University Admissions before the document deadline.
- Pay the application fee (if applicable – refer to the section below on this webpage) before the document deadline.
*Note that the process is different if you are applying as an exchange student or as a part of a cooperation programme (such as Erasmus +).
*If you have studied your entire Bachelor's programme in Sweden and all of your academic credits are in Ladok, you do not have to submit transcripts or your diploma when applying for a Master's programme. However, there may still be other documents you need to submit! See the link below.
*Svensk student? Läs instruktionerna om att söka till ett internationellt masterprogram på lu.se.
Full programme/course tuition fee: SEK 18 125
First payment: SEK 18 125
Citizens of a country outside of the European Union (EU), the European Economic Area (EEA) and Switzerland are required to pay tuition fees. You pay one instalment of the tuition fee in advance of each semester.
EU/EEA citizens and Switzerland
There are no tuition fees for citizens of the European Union (EU), the European Economic Area (EEA) and Switzerland.
If you are required to pay tuition fees, you are generally also required to pay an application fee of SEK 900 (approximately EUR 100) when you apply at www.universityadmissions.se. You pay one application fee regardless of how many programmes or courses you apply to.
Read more about paying the University Admissions in Sweden application fee and exemptions on the University Admissions website.
*Note that there are no tuition or application fees for exchange students or PhD students, regardless of their nationality.
Scholarships & funding
Lund University Global Scholarship programme
The Lund University Global Scholarship programme is a merit-based and selective scholarship targeted at top academic students from countries outside the EU/EEA.
Swedish Institute Scholarships
The Swedish Institute offers scholarships to international students applying for studies in Sweden at Bachelor's, Master's, PhD and post-doctoral levels.
Country-specific scholarships and funding options
Lund University has agreements with scholarship organisations and funding bodies in different countries, which may allow applicants to apply for funding or scholarships in their home countries for their studies at Lund University.
- Scholarships/funding for students from Brazil, Indonesia, Mexico, Colombia, Russia and Chile
- US student finance
- Canada student finance