Integral Equations and Operator Theory information
Integral Equations and Operator Theory is a journal dedicated to operator theory and its applications to engineering and other mathematical sciences. As some approaches to the study of integral equations (theoretically and numerically) constitute a subfield of operator theory, the journal also deals with the theory of integral equations and hence of differential equations. The journal consists of two sections: a main section consisting of refereed papers and a second consisting of short announcements of important results, open problems, information, etc. It has been published monthly by Springer-Verlag since 1978. The journal is also available online by subscription.
The founding editor-in-chief of the journal, in 1978, was Israel Gohberg. Its current editor-in-chief is Christiane Tretter.[1]
^Editorial board, retrieved 2020-02-27
and 23 Related for: Integral Equations and Operator Theory information
Fredholm integralequation is an integralequation whose solution gives rise to Fredholm theory, the study of Fredholm kernels and Fredholm operators. The...
is an integraloperator acting on u. Hence, integralequations may be viewed as the analog to differential equations where instead of the equation involving...
{\displaystyle K(t,u)=K(u,t)} . In the theory of integralequations, symmetric kernels correspond to self-adjoint operators. There are many classes of problems...
the Volterra integralequations are a special type of integralequations. They are divided into two groups referred to as the first and the second kind...
1927) was a Swedish mathematician whose work on integralequationsandoperatortheory foreshadowed the theory of Hilbert spaces. Fredholm was born in Stockholm...
three books and numerous articles. He was on the editorial boards of several journals, including IntegralEquationsandOperatorTheory. He was an invited...
Grothendieck and Banach. The origin of the theory of compact operators is in the theory of integralequations, where integraloperators supply concrete...
theory, they can be applied to other branches of mathematics. Fractional differential equations, also known as extraordinary differential equations,...
mathematics, operatortheory is the study of linear operators on function spaces, beginning with differential operatorsandintegraloperators. The operators may...
Lorentz covariance (time and space components of quantities enter equations in the same way) is easier to achieve than in the operator formalism of canonical...
solutions to the Navier–Stokes equations, named as one of the Millennium Prize Problems in 2000. Partial differential equations are ubiquitous in mathematically...
context of quantum field theory (QFT), the equations determine the dynamics of quantum fields. The solutions to the equations, universally denoted as ψ...
Fourier integraloperators have become an important tool in the theory of partial differential equations. The class of Fourier integraloperators contains...
California, Santa Cruz, and became professor emeritus in 1994. His research areas were in integralequationsandoperatortheory, in particular the determination...
boundary conditions and integraloperators. I. The transfer operatorand its properties." IntegralEquationsandOperatorTheory 7.3 (1984): 325–391. Rien...
Volterra in 1887 to solve systems of linear differential equations. The classical Riemann integral of a function f : [ a , b ] → R {\displaystyle f:[a,b]\to...
differential equation now known as Bachelier model. Some of these early examples were linear stochastic differential equations, also called Langevin equations after...
It is the operator corresponding to the Volterra integralequations. The Volterra operator, V, may be defined for a function f ∈ L2[0,1] and a value t ∈ [0...
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