Functions of bounded variation; Riemann-Stieltjes integration; Lebesgue measure and measurable functions; Lebesgue integration and L^p spaces; convergence of Fourier series; other topics may include the Stone-Weierstrass theorem and convergence in measure. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; MATH 446, or MATH 410 and MATH 436 Credits 3. 3 Lecture Hours.
Functions of bounded variation; Riemann-Stieltjes integration; Lebesgue measure and measurable functions; Lebesgue integration and L^p spaces; convergence of Fourier series; other topics may include the Stone-Weierstrass theorem and convergence in measure. Prerequisites: MATH 304, MATH 309, MATH 311, or MATH 323; MATH 446, or MATH 410 and MATH 436 Credits 3. 3 Lecture Hours.
