FOLD
发表于 2025-3-26 23:41:07
Fourier Series of Continuous Functions,. = 1 if . = . and . = 0 if . ≠ .. For our second definition, let (.: . = 0, ±1, ±2,...) be a set of real or complex functions, defined on the subset . of ℝ.. The set (.) is called an . (or .) on . if . is the complex conjugate of . and . stands for .… . Of course, the definition makes sense only if
Estrogen
发表于 2025-3-27 01:52:21
http://reply.papertrans.cn/24/2370/236981/236981_32.png
Coronary
发表于 2025-3-27 07:55:43
http://reply.papertrans.cn/24/2370/236981/236981_33.png
enflame
发表于 2025-3-27 12:07:00
Fourier Series of Summable Functions,π. To indicate that the Fourier coefficients are those of the function ., the notation .(.) does sometimes occur. Frequently the notation .(.) instead of c.(.) is also used. The sequence (.ˆ(.) : . = 0, ±1, ±2,…) is then denoted by .ˆ. For any . ∈ .(ℝ,.) there is an analogous notion, although now i
紧张过度
发表于 2025-3-27 15:52:57
http://reply.papertrans.cn/24/2370/236981/236981_35.png
权宜之计
发表于 2025-3-27 20:14:12
Additional Results,ourier series of a real function .. He observed that if, for example, . is a 2π-periodic sawtooth function, the graph of the partial sum ., for large n, does not behave as expected near a jump of .. At a downward jump of . the graph of instead of attaching itself closely to the graph of . until very
古代
发表于 2025-3-28 00:57:32
http://reply.papertrans.cn/24/2370/236981/236981_37.png
急急忙忙
发表于 2025-3-28 03:34:29
Textbook 1989sgue measure in Euclidean space as well as for abstract measures. We give some emphasis to subjectsof which an understanding is necessary for the Fourier theory in the later chapters. In view of the emphasis in modern mathematics curric ula on abstract subjects (algebraic geometry, algebraic topolo
自负的人
发表于 2025-3-28 07:10:15
http://reply.papertrans.cn/24/2370/236981/236981_39.png
进步
发表于 2025-3-28 11:54:04
http://reply.papertrans.cn/24/2370/236981/236981_40.png