Course Information

Course Name	Turkish	HARMONİK ANALİZ I
	English	Harmonic Analysis I
Course Code	MAT 619E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	3	-	-	-
Course Language		English
Course Coordinator		İbrahim Kırat
Course Objectives		1. To teach the basic topics of Harmonic Analysis, 2. To form the necessary background for the graduate students who wish to do research on Harmonic Analysis.
Course Description		Square summable functions on the circle and their Fourier series, Summable functions and their Fourier series, Several dimensional Fourier series. Fourier integrals for the space of square summable functions, Fourier integrals for the space of summable functions, Miscellaneous applications, Several dimensional Fourier integrals, Miscellaneous applications of several-dimensional Fourier integrals.
Course Outcomes		A student completing this course succesfully is expected to have learned the topics: I. Basic Concepts of Harmonic Analysis, II. Square Summable Functions on the Circle and Their Fourier series, Summable Functions and Their Fourier Series, III. Fourier Integrals for the Space of Square Summable Functions, Fourier Integrals for the Space of Summable Functions, IV. Several Dimensional Fourier Integrals, V. Several Dimensional Fourier Series.
Pre-requisite(s)
Required Facilities
Other
Textbook		Dym H. ve McKean, H. P.(1972). Fourier Series and Integrals, Academic Press.
Other References