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This is the third volume of Problems in Mathematical Analysis. The topic here is integration for real functions of one real variable. The first chapter is devoted to the Riemann and the Riemann-Stieltjes integrals. Chapter 2 deals with Lebesgue measure and integration.
The authors include some famous, and some not so famous, inequalities related to Riemann integration. Many of the problems for Lebesgue integration concern convergence theorems and the interchange of limits and integrals. The book closes with a section on Fourier series, with a concentration on Fourier coefficients of functions from particular classes and on basic theorems for convergence of Fourier series.
Fourier Transformation for Pedestrians Автор: Tilman Butz Год: 2005 |
Fourier Integrals in Classical Analysis Автор: Sogge C.D. Год: 1993 |
Sturm-Liouville theory and its applications Автор: Al-Gwaiz M.A. Год: 2008 |
Sturm-Liouville Theory and Its Applications Автор: Al-Gwaiz M.A. Год: 2008 |
Fourier analysis Автор: Bray W.O., et al. (eds.) Год: 1994 |
Fourier Analysis Год: 1994 |