Results 21 to 30 of about 1,306,756 (298)
Countable Additivity of Spreading the Differentiation Operator
In this article, we continue the study of the properties acquired by the differentiation operator Λ with spreading beyond the space W1¹. The study is conducted by introducing the family of spaces Yp¹ , 0 < p < 1, having analogy with the family Wp¹,
A. N. Morozov
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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Completion of the Kernel of the Differentiation Operator
When investigating piecewise polynomial approximations in spaces \(L_p, \; 0~<~p~<~1,\) the author considered the spreading of k-th derivative (of the operator) from Sobolev spaces \(W_1 ^ k\) on spaces that are, in a sense, their successors with a
Anatoly N. Morozov
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Complete Continuity of Composition-Differentiation Operators on the Hardy Space H1
We study composition-differentiation operators on the Hardy space H1 on the unit disk. We prove that if φ is an analytic self-map of the unit disk such that the composition-differentiation operator induced by φ is bounded on the Hardy space H1, then it ...
Ali Abkar
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Differential operators on the free algebras [PDF]
25 ...
Iyer, Uma N., McCune, Timothy C.
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THE DIRICHLET PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER WITH THE OPERATOR OF DISTRIBUTED DIFFERENTIATION [PDF]
In this paper, we study a linear ordinary differential equation of the second order with operator of continuously distributed differentiation, and for him we study the two-point boundary value problem by the Green’s function method. A special function is
B. I. Efendiev
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On Inequalities for Differential Operators [PDF]
In this paper we study the following problem: Given that certain functionals of u u and its derivatives belong to given L ...
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Composition Operators on Classical Spaces of Analytic Functions [PDF]
We shall provide a brief account on new achievements in the study of composition and composition-differentiation operators acting on classical spaces of analytic functions on the unit disk, as well as on the polydisk and the unit ball.
Ali Abkar
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GMRES for the Differentiation Operator [PDF]
We investigate using the gmres method with the differentiation operator. This operator is unbounded and thus does not fall into the framework of existing Krylov subspace theory. We establish conditions under which a function can be approximated by its own derivatives in a domain of the complex plane.
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Source Transformation for MATLAB Automatic Differentiation. [PDF]
We present MSAD, a source transformation implementation of forward mode automatic differentiation for MATLAB. MSAD specialises and inlines operations from the fmad and derivvec classes of the MAD package.
Forth, Shaun A. +3 more
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