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Operator theory and harmonic analysi...

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Operator theory and harmonic analysisOTHA 2020.Part II,Probability-analytical models, methods and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Operator theory and harmonic analysisedited by Alexey N. Karapetyants, Igor V. Pavlov, Albert N. Shiryaev.
Reminder of title:	OTHA 2020.
remainder title:	OTHA 2020
other author:	Karapetyants, Alexey N.
corporate name:
Published:	Cham :Springer International Publishing :2021.
Description:	viii, 418 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Operator theory
Online resource:	https://doi.org/10.1007/978-3-030-76829-4
ISBN:	9783030768294

Operator theory and harmonic analysisOTHA 2020.Part II,Probability-analytical models, methods and applications /
Operator theory and harmonic analysisOTHA 2020.Part II,Probability-analytical models, methods and applications /[electronic resource] :OTHA 2020edited by Alexey N. Karapetyants, Igor V. Pavlov, Albert N. Shiryaev. - Cham :Springer International Publishing :2021. - viii, 418 p. :ill. (some col.), digital ;24 cm. - Springer proceedings in mathematics & statistics,v.3582194-1017 ;. - Springer proceedings in mathematics & statistics ;v.19..

On Solvability of One Nonlinear Integral Equation Arising in Modelling of Geographical Spread of Epidemics -- Hierarchical Schrodinger 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 Cramer-von Mises test for parametric families of distributions -- Stochastic methods in investigation of modern networks -- Random harmonic processes with new properties.

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.

ISBN: 9783030768294

Standard No.: 10.1007/978-3-030-76829-4doiSubjects--Topical Terms:

254068
Operator theory

LC Class. No.: QA329 / .O85 2020

Dewey Class. No.: 515.724

Operator theory and harmonic analysisOTHA 2020.Part II,Probability-analytical models, methods and applications /
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490 1 $a Springer proceedings in mathematics & statistics, $x 2194-1017 ; $v v.358
505 0 $a On Solvability of One Nonlinear Integral Equation Arising in Modelling of Geographical Spread of Epidemics -- Hierarchical Schrodinger 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 Cramer-von Mises test for parametric families of distributions -- Stochastic methods in investigation of modern networks -- Random harmonic processes with new properties.
520 $a 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.
650 0 $a Operator theory $3 254068
650 0 $a Harmonic analysis $3 254093
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650 2 4 $a Abstract Harmonic Analysis. $3 274074
650 2 4 $a Real Functions. $3 273779
650 2 4 $a Functions of a Complex Variable. $3 275780
650 2 4 $a Integral Equations. $3 274836
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Karapetyants, Alexey N. $3 905496
700 1 $a Pavlov, Igor V. $3 905497
700 1 $a Shiryaev, Albert N. $3 573107
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