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Higher Equations of Motion for Boundary Liouville Conformal Field Theory from the Ward Identities. [PDF]
Cerclé B.
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Function theory on the annulus in the dp-norm. [PDF]
Agler J, Lykova ZA, Young NJ.
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Cantor Sets and Integral-Functional Equations
Zeitschrift für Analysis und ihre Anwendungen, 1998In this paper, we continue our considerations in [1] on a homogeneous integral-functional equation with a parameter a > 1 . In the case of a > 2 the solution
Berg, L., Krüppel, M.
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Functional integral for parabolic differential equations
Journal of Physics A: Mathematical and General, 1985The proof of convergence of a discretisation procedure for path integrals associated with parabolic second-order differential equations is presented.
Alicki, Robert, Makowiec, Danuta
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Functional integral via functional equation
Letters in Mathematical Physics, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integral Equations and Functionals
Mathematics Magazine, 1950Introduction. It would be difficult to think of any two topics in mathematical analysis more central and more widely studied during the last fifty years than the theory of integral equations and functionals. Here we are using the word functional as a noun and not as an adjective.
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1999
Let X be an arbitrary Banach space with the norm ∥·∥. We denote the Euclidean norm in R n and the norm in the Banach space X by the same symbol. Elements of the space R n will be denoted by x = (x1, …, x n ), s = (s1, …, s n ). Let E ⊂ R + n be a compact set and G(x) = }ξ ∈ E:ξ≤x}. Assume that functions $$ E \in C\left( {E \times {X^m} \times X,\,X}
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Let X be an arbitrary Banach space with the norm ∥·∥. We denote the Euclidean norm in R n and the norm in the Banach space X by the same symbol. Elements of the space R n will be denoted by x = (x1, …, x n ), s = (s1, …, s n ). Let E ⊂ R + n be a compact set and G(x) = }ξ ∈ E:ξ≤x}. Assume that functions $$ E \in C\left( {E \times {X^m} \times X,\,X}
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Quintic spline functions and Fredholm integral equation
2021Summary: A new six order method developed for the approximation Fredholm integral equation of the second kind. This method is based on the quintic spline functions (QSF). In our approach, we first formulate the Quintic polynomial spline then the solution of integral equation approximated by this spline.
Maleknejad, Khosrow +2 more
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