Results 291 to 300 of about 650,861 (329)

Differentiation of benign and malignant breast lesions by ultrasound localization microscopy. [PDF]

open access: yesInsights Imaging
Li J   +8 more
europepmc   +1 more source

Secondary differential operators

Journal of Geometry and Physics, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V.A. Umaguzhin   +2 more
openaire   +4 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   +3 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.
Franciscus Sommen, Nadine Van Acker
openaire   +3 more sources

Differentiation of Operators [PDF]

open access: possible, 2003
This chapter is essentially a brief introduction to non-linear functional analysis. First, we define the Gâteaux and Frechet derivatives of generally non-linear operators between linear vector spaces and we investigate their properties in some considerable detail.
openaire   +1 more source

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   +3 more sources

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