In 1964, Gähler 1 introduced the concept of 2-norm and 2-inner product spaces as generalization of norm and inner product spaces. A systematic presentation of the results related to the theory of 2-inner product spaces can be found in the book in 2, 3 and in list of references in it. Generalization of 2-inner product space for n ≥ 2 was developed by Misiak 4 in 1989. Gunawan and Mashadi 5 in 20...

The relevance of the article is determined by dissonance between intensification represen-tation V. Polova’s piano works in world and national artistic space degree its research musicological discourse.
 purpose to highlight conceptual, stylistic, genre expressive constructions works.
 methodology based on guidelines cultural historical approaches, as well semantic analysis.
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In the three-dimensional open rectangular domain, problem of identification redefinition function for a partial differential equation with Gerasimov–Caputo-type fractional operator, degeneration, and integral form condition is considered in case 0<??1 order. A positive parameter present mixed derivatives. The solution this studied class regular functions. Fourier series method used, countabl...

Rays are classes of an equivalence relation on a module V over supertropical semiring. They provide version convex geometry, supported by ‘supertropical trigonometry’ and compatible with quasilinearity, in which the CS-ratio takes role Cauchy–Schwarz inequality. CS-functions that emerge from useful tool helps to understand variety quasilinear stars ray space Ray(V). In particular, these functio...

We deene a residue current of a holomorphic mapping , or more generally a holomorphic section to a holomorphic vector bundle, by means of Cauchy-Fantappie-Leray type formulas , and prove that a holomorphic function that annihilates this current belongs to the corresponding ideal locally. We also prove that the residue current coincides with the Colee-Herrera current in the case of a complete in...

A function f ∈ C(Ω) is holomorphic on Ω, if it satisfies the CauchyRiemann equations: ∂̄f = ∑n k=1 ∂f ∂z̄k dz̄k = 0 in Ω. Denote the set of holomorphic functions on Ω by H(Ω). The Bergman projection, B0, is the orthogonal projection of square-integrable functions onto H(Ω)∩L2(Ω). Since the Cauchy-Riemann operator, ∂̄ above, extends naturally to act on higher order forms, we can as well define Bergm...