TY - JOUR T1 - Order of Magnitude of Multiple Fourier Coefficients JO - Analysis in Theory and Applications VL - 1 SP - 27 EP - 36 PY - 2013 DA - 2013/03 SN - 29 DO - http://doi.org/10.4208/ata.2013.v29.n1.4 UR - https://global-sci.org/intro/article_detail/ata/4512.html KW - Order of magnitude of multiple Fourier coefficients, function of $(\Lambda^1 KW - \cdots KW - \Lambda^N) BV^{(p)}$, $r-BV$ and Lip$(p KW - \alpha_{1} KW - \cdots KW - \alpha_{N})$. AB -

The order of magnitude of multiple Fourier coefficients of complex valued functions of generalized bounded variations like $(\Lambda^1,\cdots, \Lambda^N)BV^{(p)}$ and $r-BV$, over $[0, 2\pi]^{N},$ are estimated.