Results 231 to 240 of about 477,941 (281)

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.
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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.
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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 ...
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Differential attacks: using alternative operations

Designs, Codes and Cryptography, 2018
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Civino, Roberto   +2 more
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Differential Operators

1993
Things change. We describe these changes mathematically in terms of derivatives. A change of a variable, Φ, with respect to time is simply dΦ/dt. If the variable is also a function of position, the change in the variable depends on the direction. ∂Φ/ ∂x may be different from ∂Φ/ ∂y.
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Nonregular Pseudo-Differential Operators

Zeitschrift für Analysis und ihre Anwendungen, 1996
We study the boundedness properties of pseudo-differential operators a(x, D) and their adjoints a(x, D)* with symbols in a certain vector-valued Besov space on Besov
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Homogenization of Differential Operators

Acta Mathematicae Applicatae Sinica, English Series, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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