Web Derivatives
Hewitt Kenyon · Anthony Perry Morse
Jan 1973 · American Mathematical Society: Memoirs of the American Mathematical Society Buku 132 · American Mathematical Soc.
eBook
177
Halaman
reportRating dan ulasan tidak diverifikasi Pelajari Lebih Lanjut
Tentang eBook ini
After some measure-theoretic preliminaries, the notion of web is defined and used to construct a dimension- and metric-free setting for the differentiation of non-negative valued set functions. Conditions which guarantee the frequent existence of the derivative of one such function with respect to another are examined in detail, and then strengthened to permit integration of the derivative in case the denominator function is a measure. A Lebesgue decomposition of a function into a part which is the integral of its derivative and a remainder with derivative almost everywhere zero is obtained. The resulting theory is applied to differentiation of indefinite integrals, complex valued functions of bounded variation on the reals, and others.
Beri rating eBook ini
Sampaikan pendapat Anda.
Informasi bacaan
Smartphone dan tablet
Instal aplikasi Google Play Buku untuk Android dan iPad/iPhone. Aplikasi akan disinkronkan secara otomatis dengan akun Anda dan dapat diakses secara online maupun offline di mana saja.
Laptop dan komputer
Anda dapat mendengarkan buku audio yang dibeli di Google Play menggunakan browser web komputer.
eReader dan perangkat lainnya
Untuk membaca di perangkat e-ink seperti Kobo eReaders, Anda perlu mendownload file dan mentransfernya ke perangkat Anda. Ikuti petunjuk Pusat bantuan yang mendetail untuk mentransfer file ke eReaders yang didukung.
