Results 11 to 20 of about 76,798 (219)
Ternary Generalized Jordan Ring Homomorphisms on Ternary Non-Archimedean Banach Algebras [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we introduce the notion of the ternary generalized Jordan ring homomorphism on ternary non-Archimedean Banach algebras. Utilizing alternative fixed point methods, we establish the generalized Hyers-Ulam stability of ternary generalized ...
Ismail Nikoufar, Hossein Rahimpoor
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Examples of Infinitely Generated Function Algebras [PDF]
Czechoslovak Mathematical Journal, 2003 The author presents several simple and natural examples of uniform algebras on the unit disk (respectively, the circle) that are not finitely generated, though they have a ``small'' maximal ideal space, like the closed unit disk, for example. This note is well suited for classroom presentation in an introductory course on function algebras.
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Classes of generalized functions with finite type regularities [PDF]
, 2012 We introduce and analyze spaces and algebras of generalized functions which correspond to Hölder, Zygmund, and Sobolev spaces of functions. The main scope of the paper is the characterization of the regularity of distributions that are embedded into the ...
C Garetto +13 more
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New Algebra of New Generalized Functions [PDF]
GSTF Journal of Mathematics, Statistics and Operations Research, 2007 AbstractIn this paper, we define the vector space A(E) in which the associative multiplication is defined . Moreover we will define the embeddings of E , and E* into the algebra A(E) , where E be a locally convex algebra , and E* the dual space of E , that is E ⊂ E* ⊂ A(E) .
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On partition functions of refined Chern-Simons theories on S 3
Journal of High Energy Physics, 2021 We present a new expression for the partition function of the refined Chern-Simons theory on S 3 with an arbitrary gauge group, which is explicitly equal to 1 when the coupling constant is zero.
M.Y. Avetisyan, R.L. Mkrtchyan
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Vertex operators arising from Jacobi-Trudi identities [PDF]
, 2015 We give an interpretation of the boson-fermion correspondence as a direct consequence of Jacobi-Trudi identity. This viewpoint enables us to construct from a generalized version of the Jacobi-Trudi identity the action of Clifford algebra on polynomial ...
Jing, Naihuan, Rozhkovskaya, Natasha
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On Approximate Cubic Homomorphisms
Advances in Difference Equations, 2009 We investigate the generalized Hyers-Ulam-Rassias stability of the system of functional equations: f(xy)=f(x)f(y), f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x), on Banach algebras. Indeed we establish the superstability of this system by suitable
M. Eshaghi Gordji, M. Bavand Savadkouhi
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Point derivations of function algebras generated by holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 1989 It is shown that a continuous point derivation on the algebra H(X) consisting of uniform limits on X of functions holomorphic in a neighborhood of a compact subset X in Cn, which vanishes on the polynomials is the trivial derivation.
R. G. M. Brummelhuis, P. J. De Paepe
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Pseudo-differential operators in algebras of generalized functions and global hypoellipticity [PDF]
, 2004 The aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hypoellipticity of the symbols gives a result of regularity for the ...
Garetto, Claudia
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Generalized quantum phase spaces for the κ-deformed extended Snyder model
Physics Letters B, 2023 We describe, in an algebraic way, the κ-deformed extended Snyder models, that depend on three parameters β,κ and λ, which in a suitable algebra basis are described by the de Sitter algebras o(1,N).
Jerzy Lukierski +3 more
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