Structure Constants for New Infinite-Dimensional Lie Algebras of U(N+,N-) Tensor Operators and Applications [PDF]
, 2000 The structure constants for Moyal brackets of an infinite basis of functions on the algebraic manifolds M of pseudo-unitary groups U(N_+,N_-) are provided. They generalize the Virasoro and W_\infty algebras to higher dimensions.
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An embedding of Schwartz distributions in the algebra of asymptotic functions
International Journal of Mathematics and Mathematical Sciences, 1998 We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper asymptotic function, similar to but different from J.
Michael Oberguggenberger +1 more
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Uncountably Generated Algebras of Everywhere Surjective Functions
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aron, Richard M. +3 more
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Deformed Algebras and Generalizations of Independence on Deformed Exponential Families
Entropy, 2015 A deformed exponential family is a generalization of exponential families. Since the useful classes of power law tailed distributions are described by the deformed exponential families, they are important objects in the theory of complex systems.
Hiroshi Matsuzoe, Tatsuaki Wada
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On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables
Communications in Advanced Mathematical Sciences, 2020 In the early 2000s, the geometry of a one-parameter family of generalized complex number systems was studied (Math. Mag. 77(2)(2004)). This family is denoted by Cp.
Kahraman Esen Özen
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Algebraic and differential properties of polynomial Fourier transformation
Математичні Студії, 2020 Methods of integral transformations of (generalized) functions are widely used in the solution of initial and boundary value problems for partial differential equations.
S.V. Sharyn
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Argyres-Douglas theories, S-duality and AGT correspondence
Journal of High Energy Physics, 2021 We propose a Nekrasov-type formula for the instanton partition functions of four-dimensional N $$ \mathcal{N} $$ = 2 U(2) gauge theories coupled to (A 1 , D 2n ) Argyres-Douglas theories.
Takuya Kimura +3 more
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An algebraic approach to manifold-valued generalized functions
, 2011 We discuss the nature of structure-preserving maps of varies function algebras. In particular, we identify isomorphisms between special Colombeau algebras on manifolds with invertible manifold-valued generalized functions in the case of smooth ...
A. Kriegl +17 more
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Aspects of noncommutative Lorentzian geometry for globally hyperbolic spacetimes [PDF]
, 2002 Connes' functional formula of the Riemannian distance is generalized to the Lorentzian case using the so-called Lorentzian distance, the d'Alembert operator and the causal functions of a globally hyperbolic spacetime. As a step of the presented machinery,
Beem J. K +14 more
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Generalized Numerical Index of Function Algebras
Journal of Function Spaces, 2019 Let X be a complex Banach space and Cb(Ω:X) be the Banach space of all bounded continuous functions from a Hausdorff space Ω to X, equipped with sup norm. A closed subspace A of Cb(Ω:X) is said to be an X-valued function algebra if it satisfies the following three conditions: (i) A≔{x⁎∘f:f∈A, x⁎∈X⁎} is a closed subalgebra of Cb(Ω), the Banach space of
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