Applications Of Composite Convolution Operators,
2016
Government College for Women, India
Applications Of Composite Convolution Operators, Anupama Gupta
Applications and Applied Mathematics: An International Journal (AAM)
The Composite Convolution Operator is an operator which is obtained by composing Convolution operator with Composition operator. Volterra composite convolution operator is a composition of Volterra convolution operator and Composition operator. The Composite Convolution Operators and Composite Convolution Volterra operators have been defined by using the Expectation operator and Radon-Nikodym derivative. In this paper an attempt has been made to investigate applications of Composite Convolution Operators (CCO) in Integral Convolution Type Equations (ICTE). The study may explore a new technique to solve Fredholm Convolution type integral equations and Volterra Convolution type integral equations. Some methods for solving integral convolution type …
A New Approach For Solving System Of Local Fractional Partial Differential Equations,
2016
University of Mazandaran
A New Approach For Solving System Of Local Fractional Partial Differential Equations, Hossein Jafari, Hassan K. Jassim
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we apply a new method for solving system of partial differential equations within local fractional derivative operators. The approximate analytical solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. Illustrative examples are included to demonstrate the high accuracy and fast convergence of this new algorithm. The obtained results show that the introduced approach is a promising tool for solving system of linear and nonlinear local fractional differential equations. Furthermore, we show that local fractional Laplace variational iteration method is able …
A Remark On The Multipliers On Spaces Of Weak Products Of Functions,
2016
Washington University in St. Louis
A Remark On The Multipliers On Spaces Of Weak Products Of Functions, Stefan Richter, Brett D. Wick
Mathematics Faculty Research
Operators on function spaces of form Cɸf = f ∘ ɸ, where ɸ is a fixed map are called composition operators with symbol ɸ. We study such operators acting on the Hilbert Hardy space over the right half-plane and characterize the situations when they are invertible, Fredholm, unitary, and Hermitian. We determine the normal composition operators with inner, respectively with Möbius symbol. In select cases, we calculate their spectra, essential spectra, and numerical ranges.
The Development Of Notation In Mathematical Analysis,
2016
Loyola Marymount University
The Development Of Notation In Mathematical Analysis, Alyssa Venezia
Honors Thesis
The field of analysis is a newer subject in mathematics, as it only came into existence in the last 400 years. With a new field comes new notation, and in the era of universalism, analysis becomes key to understanding how centuries of mathematics were unified into a finite set of symbols, precise definitions, and rigorous proofs that would allow for the rapid development of modern mathematics. This paper traces the introduction of subjects and the development of new notations in mathematics from the seventeenth to the nineteenth century that allowed analysis to flourish. In following the development of analysis, we …
The Complete Structure Of Linear And Nonlinear Deformations Of Frames On A Hilbert Space,
2016
East Tennessee State Universtiy
The Complete Structure Of Linear And Nonlinear Deformations Of Frames On A Hilbert Space, Devanshu Agrawal
Electronic Theses and Dissertations
A frame is a possibly linearly dependent set of vectors in a Hilbert space that facilitates the decomposition and reconstruction of vectors. A Parseval frame is a frame that acts as its own dual frame. A Gabor frame comprises all translations and phase modulations of an appropriate window function. We show that the space of all frames on a Hilbert space indexed by a common measure space can be fibrated into orbits under the action of invertible linear deformations and that any maximal set of unitarily inequivalent Parseval frames is a complete set of representatives of the orbits. We show …
The Effect Of Tommy John (Ucl) Reconstructive Surgery On A Pitcher’S Arm And Career Progression,
2016
Bryant University
The Effect Of Tommy John (Ucl) Reconstructive Surgery On A Pitcher’S Arm And Career Progression, Jack Grant
Honors Projects in Mathematics
Injuries have plagued professional athletes since their sports have been in existence. The examination of how teams can diminish the side effects of the injuries en route to a speedy recovery remains an evolving process and a topic of concern for all. Injury preventative tactics have been implemented by coaching staffs and various training personnel. Major League Baseball (MLB) pitchers are noticing an increase in the number of surgeries performed each year. The tearing of the ulnar collateral ligament (UCL) in the elbow has become a predominant injury among pitchers in the MLB. Reconstructive surgery, also known as Tommy John …
Predictions Of Success In The Actuarial Major,
2016
Bryant University
Predictions Of Success In The Actuarial Major, Jessica Soojian
Honors Projects in Mathematics
This study finds predictive factors that have a significant effect on the ending Mathematics/Actuarial GPA of Actuarial majors at Bryant University. This was done to add clarity to incoming students for what it takes to do well in the actuarial major. There were 266 subjects consisting of Bryant students that graduated between the years 2009 and 2015. The data was received in the form of final transcripts upon graduation for these students. Through manipulation of these transcripts, GPAs were calculated for Mathematics/Actuarial, English/Literary Cultural Studies, History/Politics, Economics, Science, Social Sciences, Computer Information Systems, Finance, Accounting, Management, and Marketing. These GPAs …
What Is The True Cost To Stay In The Hospital?,
2016
Bryant University
What Is The True Cost To Stay In The Hospital?, Samantha Alicandro
Honors Projects in Mathematics
Currently, the unfortunate reality that receiving diverse health procedures can be extremely expensive is widely acknowledged and woefully accepted. However, have you inquired or been curious about the specific factors that influence the cost per day expensed by a hospital? Through examination, investigation, and evaluation operating SAS Enterprise Guide, SAS Enterprise Miner and Tableau I have attempted to arrive at a conclusion for this very question. Utilizing a 1.5 million row data set provided by Rhode Island, for the years 2003-2013, I analyzed the assorted elements conceivably bearing impact on the cost per day at a hospital. Regressions, decision trees, …
Does Academic Performance Predict Workplace Productivity?,
2016
Bryant University
Does Academic Performance Predict Workplace Productivity?, Jodie-Gaye Hunter
Honors Projects in Economics
This research examines if college GPA affects productivity and compensation in the workplace. It uses data collected from a survey of approximately 23,000 Bryant University graduates in different stages of their career. About 10 percent of the alumni surveyed completed the survey. The econometric model used in this study allows estimating the effect of GPA on income after controlling for various demographic and socioeconomic variables, including education, major, occupation, gender, among others. The empirical work provides evidence that GPA has a positive and statistically significant impact on workplace productivity for females, but GPA seems to be a weaker predictor of …
Time-Dependent Neutral Stochastic Functional Differential Equations Driven By A Fractional Brownian Motion,
2016
Louisiana State University
Time-Dependent Neutral Stochastic Functional Differential Equations Driven By A Fractional Brownian Motion, B Boufoussi, S Hajji, E Lakhel
Communications on Stochastic Analysis
No abstract provided.
On The Second Fundamental Theorem Of Asset Pricing,
2016
Louisiana State University
On The Second Fundamental Theorem Of Asset Pricing, Rajeeva L Karandikar, B V Rao
Communications on Stochastic Analysis
No abstract provided.
A Stochastic Transport Theorem,
2016
Louisiana State University
A Stochastic Transport Theorem, Pedro Catuogno, Simão N Stelmastchuk
Communications on Stochastic Analysis
No abstract provided.
Solution Of The Dirichlet Problem For A Linear Second-Order Equation By The Monte Carlo Method,
2016
Louisiana State University
Solution Of The Dirichlet Problem For A Linear Second-Order Equation By The Monte Carlo Method, José Villa-Morales
Communications on Stochastic Analysis
No abstract provided.
Mean-Field Limit Versus Small-Noise Limit For Some Interacting Particle Systems,
2016
Louisiana State University
Mean-Field Limit Versus Small-Noise Limit For Some Interacting Particle Systems, Samuel Herrmann, Julian Tugaut
Communications on Stochastic Analysis
No abstract provided.
Moments Estimates For Local Times Of A Class Of Gaussian Processes,
2016
Louisiana State University
Moments Estimates For Local Times Of A Class Of Gaussian Processes, Olga Izyumtseva
Communications on Stochastic Analysis
No abstract provided.
Probability Distributions And Orthogonal Polynomials Associated With The One-Parameter Fibonacci Group,
2016
Louisiana State University
Probability Distributions And Orthogonal Polynomials Associated With The One-Parameter Fibonacci Group, Andreas Boukas, Philip Feinsilver, Anargyros Fellouris
Communications on Stochastic Analysis
No abstract provided.
Stochastic Integral Representations Of F-Selfdecomposable And F-Semi-Selfdecomposable Distributions,
2016
Louisiana State University
Stochastic Integral Representations Of F-Selfdecomposable And F-Semi-Selfdecomposable Distributions, Nadjib Bouzar
Communications on Stochastic Analysis
No abstract provided.
Commutators In The Two-Weight Setting,
2016
Washington University in St. Louis
Commutators In The Two-Weight Setting, Irina Holmes, Michael T. Lacey, Brett D. Wick
Mathematics Faculty Research
Let R be the vector of Riesz transforms on Rn and let μ,λ∈Ap be two weights on Rn, 1p(μ)→Lp(λ)|| is shown to be equivalent to the function b being in a BMO space adapted to μ and λ. This is a common extension of a result of Coifman–Rochberg–Weiss in the case of both λ and μ being Lebesgue measure, and Bloom in the case of dimension one.
Remling's Theorem On Canonical Systems,
2016
Embry-Riddle Aeronautical University
Remling's Theorem On Canonical Systems, Keshav R. Acharya
Publications
In this paper, we extend the Remling’s Theorem on canonical systems that the ω limit points of the Hamiltonian under the shift map are reflectionless on the support of the absolutely continuous part of the spectral measure of a canonical system.
A Note On Vector Valued Discrete Schrödinger Operators,
2016
Embry-Riddle Aeronautical University
A Note On Vector Valued Discrete Schrödinger Operators, Keshav R. Acharya
Publications
The main purpose of this paper is to extend some theory of Schrödinger operators from one dimension to higher dimension. In particular, we will give systematic operator theoretic analysis for the Schrödinger equations in multidimensional space. To this end, we will provide the detail proves of some basic results that are necessary for further studies in these areas. In addition, we will introduce Titchmarsh- Weyl m− function of these equations and express m− function in term of the resolvent operators.
