Cover Image

Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus

We use the generalized n-dimensional Laplace transform of tempered distributions whose supports are located in a positive n-dimensional cone to construct functional calculus for the commutative collections of injective generators of n-parameter analytic semigroups of operators acting in a Banach spa...

Full description

Saved in:

Bibliographic Details
Date:	2015
Main Authors:	Lopushanskyi, A. O., Sharyn, S. V., Лопушанський, А. О., Шарин, С. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2015
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2085
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Application of the Laplace Transform of Tempered Distributions to the Construction of Functional Calculus
by: A. O. Lopushanskyi, et al.
Published: (2015)

Operator calculus on ultrasmooth vectors
by: Lopushansky , О. V., et al.
Published: (1992)

Positive half-characters and the Laplace transformation
by: Mirotin , A. P., et al.
Published: (1992)

Malliavin Calculus for Functionals with Generalized Derivatives and Some Applications to Stable Processes
by: Kulik, A. M., et al.
Published: (2002)

Malliavin Calculus for Functionals with Generalized Derivatives and Some Applications to Stable Processes
by: Kulik, O.M.
Published: (2002)

Distributed-order calculus: An operator-theoretic interpretation
by: Kochubei, A. N., et al.
Published: (2008)

Certain applications of the Tauber-type theorems with a remainder for the Laplace transform in the probability theory
by: Melnik, V. I., et al.
Published: (1987)

Distributed-order calculus: An operator-theoretic interpretation
by: Kochubei, A.N.
Published: (2008)

Two theorems on closeness of the set of Laplace-type transformations
by: Safaryan, R. G., et al.
Published: (1993)

Construction of solutions of the Laplace equation satisfying the no-slip condition on the segment of the sphere
by: Ya. Barniak
Published: (2013)

Picone’s identity for $\Delta_{\gamma}$-Laplace operator and its applications
by: Luyen, D. T., et al.
Published: (2021)

Application of dyvidirial and multygral calculuses in the study of agricultural economics of Ukraine
by: M. V. Artiukh, et al.
Published: (2016)

Transient analysis in PWM inverter based on two dimensional Laplace transform
by: Ye. Korotyeyev, et al.
Published: (2018)

Picone&#039;s identity for Δγ-Laplace operator and its applications
by: D. T. Luyen
Published: (2021)

A Hypergeometric Integral with Applications to the Fundamental Solution of Laplace's Equation on Hyperspheres
by: Chapling, R.
Published: (2016)

Fractional calculus of a unified Mittag-Leffler function
by: Prajapati, J.C., et al.
Published: (2014)

Fractional Calculus of a Unified Mittag-Leffler Function
by: J. C. Prajapati, et al.
Published: (2014)

Fractional Calculus of a Unified Mittag-Leffler Function
by: Nathwani, B. V., et al.
Published: (2014)

Construction of the solutions of boundary-value problems for the laplace equation in domains of revolution with edged boundary
by: Barnyak, M. Ya., et al.
Published: (2009)

Algebras of Functionally Invariant Solutions of the Three-Dimensional Laplace Equation
by: Mel'nichenko, I. P., et al.
Published: (2003)

Estimations of the Laplace – Stieltjes integrals
by: M. C. Dobushovskyi, et al.
Published: (2016)

Estimations of the Laplace – Stieltjes integrals
by: Dobushovs’kyi, M. S., et al.
Published: (2016)

Spectral Mapping Theorem for the Davies-Helffer-Sjöstrand Functional Calculus
by: Claire, N.S.
Published: (2012)

Formal functional calculus for copolynomials over a commutative ring
by: Gefter, Sergiy L., et al.
Published: (2025)

Numerical inversion of Laplace transforms in the solution of heat conductive problems of contacting thermosensitive bodies
by: O. M. Vovk
Published: (2017)

Застосування перетворення Лапласа узагальнених функцій повільного росту до побудови функціонального числення
by: Лопушанський, А.О., et al.
Published: (2015)

Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations
by: Dimakis, A., et al.
Published: (2013)

Morphological heterogeneity of temperate erwiniophage 59
by: M. A. Zlatohurska, et al.
Published: (2016)

Construction of distribution functions with controlled intensity of refuses
by: I. O. Dohtieva
Published: (2015)

Classification calculus. The classification correctness
by: G. A. Kravtsov, et al.
Published: (2017)

Integral calculus on Eq(2)
by: Brzeziński, T.
Published: (2010)

Finite difference calculus in the continuum
by: Finkelshtein, Dmitri, et al.
Published: (2026)

Features of the phase-structural transformations during tempering of the low-alloyed steels for hot working dies
by: S. V. Bobyr, et al.
Published: (2012)

Isothermal Martensitic Transformation in a Tool Steel and Its Effect on Carbide Formation under Tempering
by: V. A. Sirosh, et al.
Published: (2014)

Geometric properties of Laplace - Stieltjes integrals
by: M. M. Sheremeta
Published: (2022)

The Laplace-Beltrami Operator on the Surface of the Ellipsoid
by: Volkmer, Hans
Published: (2024)

Application of high-frequency peening to improve the performance of butt welded joints in the atmosphere of temperate climate
by: V. V. Knysh, et al.
Published: (2017)

Differential Calculus on h-Deformed Spaces
by: Herlemont, B., et al.
Published: (2017)

(ϕ, α)-Strong Summability of Fourier–Laplace Series for Functions Continuous on a Sphere
by: Lasuriya, R. A., et al.
Published: (2002)

On Banach and Fréchet spaces of Laplace – Stieltjes integrals
by: A. O. Kuryliak, et al.
Published: (2021)