{"product_id":"two-parameter-stochastic-processes-with-finite-variation-9780530005157","title":"Two-parameter Stochastic Processes With Finite Variation","description":"\u003cp\u003e • Author(s): Charles Lindsey\u003cbr\u003e • Publisher: Dissertation Discovery Company\u003cbr\u003e • Publisher Imprint: Dissertation Discovery Company\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003eAbstract: \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eLet E be a Banach space with norm -, and f: R2+ ?E a function with finite variation. Properties of the variation are studied, and an associated increasing real-valued function f is defined. \u003cp\u003e\u003c\/p\u003eSufficient conditions are given for f to have properties analogous to those of functions of one variable. A correspondence f f between such functions and E-valued Borel measures on R2+ is established, and the equality f = ?f is proved. Correspondences between E-valued two-parameter processes X with finite variation x and E-valued stochastic measures with finite variation are established. The case where X takes values in L(E, F) (F a Banach space) is studied, and it is shown that the associated measure ?x takes values in L(E, F\"); some x sufficient conditions for y to be L(E, F)-valued are given. Similar results for the converse problem are established, and some conditions sufficient for the equality x = ?x are given. \u003cp\u003e\u003c\/p\u003eDissertation Discovery Company and University of Florida are dedicated to making scholarly works more discoverable and accessible throughout the world. This dissertation, \"Two-parameter Stochastic Processes With Finite Variation\" by Charles Lindsey, was obtained from University of Florida and is being sold with permission from the author. A digital copy of this work may also be found in the university's institutional repository, IR@UF. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation.","brand":"Dissertation Discovery Company","offers":[{"title":"Hardcover","offer_id":46864596631703,"sku":"9780530005157","price":8520.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780530005157.webp?v=1769974950","url":"https:\/\/atlanticbooks.com\/products\/two-parameter-stochastic-processes-with-finite-variation-9780530005157","provider":"Atlantic Books","version":"1.0","type":"link"}