Results 151 to 160 of about 54,965 (200)

Best approximation of the differentiation operator in the space L2 on the semiaxis [PDF]

open access: yesJournal of Approximation Theory, 2014
We solve the problem on the best approximation of the (first-order) differentiation operator by linear bounded operators on the class of twice differentiable functions in the space L2(0, ∞). The best approximating operator is constructed.
V V Arestov, M A Filatova
exaly   +2 more sources

Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions [PDF]

open access: yesJournal of Functional Analysis, 2022
An operator T acting on a separable F-space X is called hypercyclic if there exists f∈X such that the orbit {Tnf} is dense in X. Here we determine when an operator that λ-commutes with the operator of differentiation on the space of entire functions is ...
Manuel Gonzalez   +1 more
exaly   +2 more sources

Surjective and closed range differentiation operator [PDF]

open access: yesRendiconti Del Circolo Matematico Di Palermo
We identify Fock-type spaces F(m,p) on which the differentiation operator D has closed range. We prove that D has closed range only if it is surjective, and this happens if and only if m = 1.
Tesfa Mengestie, Mengestie Tesfa
exaly   +2 more sources

Monogenic Differential Operators

Results in Mathematics, 1992
It is well-known that a homogeneous polynomial of degree \(k\) admits a harmonic Fischer decomposition. But when dealing with Clifford algebra- valued functions, this decomposition can be refined, since every spherical harmonic can be written as the sum of a so-called inner and an outer spherical monogenic.
Sommen, F., Van Acker, N.
openaire   +2 more sources

Associative Differential Operations

The Annals of Mathematics, 1950
Die Bezeichnungen \(D\)-Körper, D. P., und die Symbole \(y_i = y_{i0}\), \(y_{ir}\) usw. haben dieselbe Bedeutung. wie in der unmittelbar vorangehenden Besprechung Zbl 0037.18402. Gebildet werden formale \glqq Potenzreihen\grqq{} \(\mathfrak A(y) = A^{(1)}(y) + A^{(2)}(y) + \cdots\), bei denen jeweils \(A^{(i)}(y)\) ein D. P.
openaire   +2 more sources

Pseudo‐differential operators

Communications on Pure and Applied Mathematics, 1965
Contents: Second Order Elliptic Operators.- Pseudo-Differential Operators.- Elliptic Operators on a Compact Manifold without Boundary.- Boundary Problems for Elliptic Differential Operators.- Symplectic Geometry.- Some Classes of (Micro-)Hypoelliptic Operators.- The Strictly Hyperbolic Cauchy Problem.- The Mixed Dirichlet-Cauchy Problem for Second ...
openaire   +2 more sources

Optimal growth of entire functions frequently hypercyclic for the differentiation operator

open access: yesJournal of Functional Analysis, 2012
We solve a problem posed by Bonilla and Grosse-Erdmann (2007) [7] by constructing an entire function f which is frequently hypercyclic with respect to the differentiation operator, and satisfies Mf(r)⩽cerr−1/4, where c>0 may be chosen arbitrarily small ...
David Drasin, Eero Saksman
exaly   +2 more sources

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