Information Package / Course Catalogue
Tauberian Theory
Course Code: MTK617
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

This course aims to acquaint students with the fundamental notions of Tauberian theory including the Hardy-Littleweood theorems, Wiener’s theory, complex Tauberian theory, Karamata’s Heritage: Regular variation, Borel summability and general circle methods and Tauberian remainder theory.

Course Content

The Hardy-Littleweood theorems, Wiener’s theory, complex Tauberian theory, Karamata’s Heritage: Regular variation, Borel summability and general circle methods and Tauberian remainder theory.

Name of Lecturer(s)
Learning Outcomes
1.Ability to understand the Hardy-Littlewood Theorems
2.Ability to comprehend the Wiener theory
3.Ability to understand the complex Tauberian theorems
4.Ability to comprehend reguler variation
5.To be able to gain the skill of interpreting some interrelations among these concepts
Recommended or Required Reading
1.Tauberian theory, Jacob Korevaar
Weekly Detailed Course Contents
Week 1 - Theoretical
Hardy-Littleweood theorems
Week 2 - Theoretical
Hardy-Littleweood theorems
Week 3 - Theoretical
Wiener’s theory
Week 4 - Theoretical
Wiener’s theory
Week 5 - Theoretical
Complex Tauberian theory
Week 6 - Theoretical
Complex Tauberian theory
Week 7 - Theoretical
Complex Tauberian theory
Week 8 - Theoretical
Regular variation
Week 9 - Theoretical
Regular variation
Week 10 - Theoretical
Borel summability and general circle methods
Week 11 - Theoretical
Borel summability and general circle methods
Week 12 - Theoretical
Tauberian remainder theory
Week 13 - Theoretical
Tauberian remainder theory
Week 14 - Theoretical
Tauberian remainder theory
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%5
Term Assignment1%5
Midterm Examination1%20
Final Examination1%70
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140342
Assignment1066
Term Project1066
Individual Work140570
Midterm Examination130232
Final Examination142244
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
PÇ-11
PÇ-12
PÇ-13
PÇ-14
PÇ-15
OÇ-1
4
5
4
3
2
OÇ-2
4
5
4
3
2
OÇ-3
4
5
4
3
2
OÇ-4
4
5
4
3
2
OÇ-5
4
4
4
4
4
Adnan Menderes University - Information Package / Course Catalogue
2026