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Operator Theory and Harmonic Analysis: OTHA 2020, Part II – Probability-Analytical Models, Methods and Applications /
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Catalogue Information
Field name
Details
Dewey Class
515.724
Title
Operator Theory and Harmonic Analysis ([EBook] :) : OTHA 2020, Part II – Probability-Analytical Models, Methods and Applications / / edited by Alexey N. Karapetyants, Igor V. Pavlov, Albert N. Shiryaev.
Added Personal Name
Karapetyants, Alexey N.
Pavlov, Igor V.
Shiryaev, Albert N.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2021.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details
VIII, 418 p. 26 illus., 12 illus. in color. : online resource.
Series
Springer Proceedings in Mathematics & Statistics
2194-1017 ; ; 358
ISBN
9783030768294
Summary Note
This is the second in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University, Rostov-on-Don, Russia. This volume focuses on mathematical methods and applications of probability and statistics in the context of general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multi-parameter objects required when considering operators and objects with variable parameters.:
Contents note
On Solvability of One Nonlinear Integral Equation Arising in Modelling of Geographical Spread of Epidemics -- Hierarchical Schrödinger type operators: the case of locally bounded potentials -- Symmetric Integrals and the Pathwise-Determined Maximum Principle -- Lanchester Model with the Random Coefficients -- Local time and local reflection of the Wiener process -- Out-of-sample utility bounds for empirically optimal portfolios in a single-period investment problem -- A Guaranteed Deterministic Approach to Superhedging: Optimal Mixed Strategies of the Market and their Supports -- CVaR hedging in defaultable Jump-Diffusion markets -- A model for the outbreak of COVID-19: Vaccine effectiveness in a case study of Italy -- Combinatorial IdentitiesWith Binomial Coefficients -- Double-Barrier Option Pricing under the Hyper-Exponential Jump-Diffusion Model -- A probabilistic interpretation of conservation and balance laws -- Random Tempered Distributions on Locally Compact Separable Abelian Groups -- A conditional functional limit theorem for a decomposable branching process -- Influence of the configuration of particle generation sources on the behavior of branching walks: a case study -- Some Properties of Regularly Varying Functions and Series in the Orthant -- On solutions of stochastic equations with current and osmotic velocities -- A Simple Wiener-Hopf Factorization Approach for Pricing Double Barrier Options -- Rate of convergence to the Poisson law of the numbers of cycles in the generalized random graphs -- Single Jump Filtrations: Preservation of the Local Martingale Property with Respect to the Filtration Generated by the Local Martingale -- New procedure for applying the Cramér-von Mises test for parametric families of distributions -- Stochastic methods in investigation of modern networks -- Random harmonic processes with new properties.
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-76829-4
Links to Related Works
Subject References:
Abstract Harmonic Analysis
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Functional Analysis
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Functions of a Complex Variable
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Functions of complex variables
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Functions of real variables
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Harmonic analysis
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Integral Equations
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Operator Theory
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Real Functions
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Authors:
editor
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Karapetyants, Alexey N.
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Pavlov, Igor V.
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Shiryaev, Albert N.
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See Also:
Širjaev, Alʹbert N.
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Širjaev, Alʹbert N., 1934-
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Corporate Authors:
SpringerLink (Online service)
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Series:
Springer Proceedings in Mathematics & Statistics
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Classification:
515.724
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