Results 1 to 10 of about 76,699 (120)

Isomorphisms of algebras of Colombeau generalized functions [PDF]

Monatshefte für Mathematik, 2006
We show that for smooth manifolds X and Y, any isomorphism between the special algebra of Colombeau generalized functions on X, resp. Y is given by composition with a unique Colombeau generalized function from Y to X.
A. Delcroix, E. Zeidler, G. Hörmann, G.W. Mackey, Hans Vernaeve, I. Kolár, J. Aragona, J. Aragona, J. Grabowski, J. Mrčun, J.-F. Colombeau, J.W. Roever de, L. Schwartz, L. Schwartz, M. Grosser, M. Grosser, M. Kunzinger, M. Kunzinger, M. Kunzinger, M. Nedeljkov, M. Oberguggenberger, M. Oberguggenberger, M.W. Hirsch, N. Dapić, R. Steinbauer, R.V. Kadison   +25 more
core   +5 more sources

Regularity of nonlinear generalized functions: A counterexample in the nonstandard setting

Examples and Counterexamples, 2021
Regularity theory in generalized function algebras of Colombeau type is largely based on the notion of G∞-regularity, which reduces to C∞-regularity when restricted to Schwartz distributions.
H. Vernaeve
doaj   +1 more source

Growth functions of finitely generated algebras [PDF]

Involve, a Journal of Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fredette, Eric, Kubala, Dan, Nelson, Eric, Wells, Kelsey, Ellingsen, Harold   +4 more
openaire   +3 more sources

Scattering in Algebraic Approach to Quantum Theory—Associative Algebras

Universe, 2022
The definitions of scattering matrix and inclusive scattering matrix in the framework of formulation of quantum field theory in terms of associative algebras with involution are presented. The scattering matrix is expressed in terms of Green functions on
Albert Schwarz
doaj   +1 more source

Group invariants in algebras of generalized functions [PDF]

Integral Transforms and Special Functions, 2006
8 ...
Konjik, Sanja, Kunzinger, Michael
openaire   +4 more sources

Pseudo General Overlap Functions and Weak Inflationary Pseudo BL-Algebras

Mathematics, 2022
General overlap functions are generalized on the basis of overlap functions, which have better application effects in classification problems, and the (weak) inflationary BL-algebras as the related algebraic structure were also studied.
Rong Liang, Xiaohong Zhang
doaj   +1 more source

n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

Advances in Difference Equations, 2021
We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty.
Reza Saadati, Choonkil Park, Donal O’Regan, Sorin Nadaban   +3 more
doaj   +1 more source

GENERAL BRANCHING FUNCTIONS OF AFFINE LIE ALGEBRAS [PDF]

Modern Physics Letters A, 1995
Explicit expressions are presented for general branching functions for cosets of affine Lie algebras ĝ with respect to subalgebras ĝ′ for the cases where the corresponding finite-dimensional algebras g and g′ are such that g is simple and g′ is either simple or sums of u(1) terms. A special case of the latter yields the string functions.
Hwang, Stephen, Rhedin, Henric
openaire   +2 more sources

Growth and form, Lie algebras and special functions

Mathematical Biosciences and Engineering, 2021
The formation of a biological organism, or an organ within it, can often be regarded as the unfolding of successive equilibria of a mechanical system. In a mathematical model, these changes of equilibria may be considered to be responses of mechanically ...
Raghu Raghavan
doaj   +1 more source

Inductive limits of algebras of generalized analytic functions. [PDF]

Michigan Mathematical Journal, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Grigoryan, S. A., Tonev, T. V.
openaire   +3 more sources