A Banach algebra with its applications over paths of bounded variation

DOI10.15352/aot.1802-1310zbMath1408.46046OpenAlexW2805254555WikidataQ129709946 ScholiaQ129709946MaRDI QIDQ1790515

Dong Hyun Cho

Publication date: 2 October 2018

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aot/1528444823

zbMATH Keywords

Banach algebraItô integralWiener spaceFeynman integralPaley-Wiener-Zygmund integral

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Stochastic integrals (60H05) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (1)

A Banach algebra of series of functions over paths

Cites Work

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• A Banach algebra similar to Cameron-Storvick's one with its equivalent spaces
• Mathematical theory of Feynman path integrals. An introduction
• THE GENERALIZED ANALOGUE OF WIENER MEASURE SPACE AND ITS PROPERTIES
• Measurable functions similar to the itô integral and the Paley-Wiener-Zygmund integral over continuous paths
• Space-Time Approach to Non-Relativistic Quantum Mechanics

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