Privalov I. I. "Fourier Serisi"
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Okuyucular, SSCB Bilimler Akademisi'nin ilgili üyesi olan seçkin Sovyet matematikçisi I. I. Privalov'un (1891-1941) yazdığı, klasik trigonometrik Fourier serisi teorisinin bir sunumunu ve bunun bireysel matematik problemlerine bazı uygulamalarını sunan bir kitaba davetlidir. fizik ve esneklik teorisi. Fourier serilerinin Fejer aritmetik ortalama yöntemini kullanarak toplanması problemi ele alınmakta, çift seriler de dahil olmak üzere Fourier serilerinin yakınsaklığı sorunu araştırılmaktadır; Fourier serilerinin entegrasyonunu ve farklılaşmasını açıklar. Ekte neredeyse periyodik fonksiyonlar teorisine kısa bir genel bakış sunulmaktadır. Bu baskıda, Dirichlet integral formülü ve Fejer teoremi kullanılmadan gerçekleştirilen Fourier serilerinin yakınsaklığı sorusunun sunumu revize edilmiştir. Kitap çok çeşitli matematikçilere (araştırmacılar, yüksek lisans öğrencileri, öğrenciler ve üniversite öğretmenleri) tavsiye edilir.
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