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pro vyhledávání: '"Valentin Z. Hristov"'
Autor:
Ivan H. Dimovski, Valentin Z. Hristov
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 8, Pp 1239-1251 (2005)
The Pommiez operator (Δf)(z)=(f(z)−f(0))/z is considered in the space ℋ(G) of the holomorphic functions in an arbitrary finite Runge domain G. A new proof of a representation formula of Linchuk of the commutant of Δ in ℋ(G) is given. The main
Externí odkaz:
https://doaj.org/article/96a07f7ba54a49209e33d4f135dea10e
Autor:
Ivan H. Dimovski, Valentin Z. Hristov
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 030 (2009)
The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied. An operational calculus of Miku
Externí odkaz:
https://doaj.org/article/307efda15c9943ef806b962da2a5561f
Autor:
Valentin Z. Hristov, Ivan H. Dimovski
Publikováno v:
AIP Conference Proceedings.
The Euler operator δ = tddt is considered in the space C = C(R+) of the continuous functions on R+ = (0,∞). Nonlocal operational calculi for it are developed and used for solving nonlocal Cauchy boundary value problems for Euler differential equat
Autor:
Valentin Z. Hristov, Ivan H. Dimovski
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 030 (2009)
The one-dimensional Dunkl operator $D_k$ with a non-negative parameter $k$, is considered under an arbitrary nonlocal boundary value condition. The right inverse operator of $D_k$, satisfying this condition is studied. An operational calculus of Miku
Autor:
Ivan H. Dimovski, Valentin Z. Hristov
The Euler operator δ=t(d/dt) is considered in the space C=C(ℝ+), ℝ+=(0, ∞), and the operators M: C→C such that Mδ=δ M in C 1(ℝ+) are characterized. Next, for a non-zero linear functional Φ: C(ℝ+)→ℂ the continuous linear operators
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab6581d4b3eb8ce1a27b12412bf43cb0
https://hdl.handle.net/10525/3899
https://hdl.handle.net/10525/3899