Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions

Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions

For relations generated by a pair of operator symmetric differential expressions, a class of generalized resolvents is found. These resolvents are integro-differential operators. The expansion in eigenfunctions of these relations is obtained.

Збережено в:

Бібліографічні деталі
Дата:	2009
Автор:	Khrabustovskyi, V.
Формат:	Стаття
Мова:	English
Опубліковано:	Інститут математики НАН України 2009
Онлайн доступ:	http://dspace.nbuv.gov.ua/handle/123456789/5710
Теги:	Додати тег Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:	Expansion in eigenfunctions of relations generated by pair of operator differential expressions / V. Khrabustovskyi // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 137-151. — Бібліогр.: 29 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Схожі ресурси

Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner
за авторством: Khrabustovskyi, V.
Опубліковано: (2013)

Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner
за авторством: V. Khrabustovskyi
Опубліковано: (2013)

Eigenfunction Expansions of Functions Describing Systems with Symmetries
за авторством: Kachuryk, I., та інші
Опубліковано: (2007)

On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression
за авторством: Bruk, V.M.
Опубліковано: (2009)

On Linear Relations Generated by Nonnegative Operator Function and Degenerate Elliptic Differential-Operator Expression
за авторством: Bruk, V.M.
Опубліковано: (2009)

Asymptotic expansions for eigenvalues and eigenfunctions of elliptic boundary-value problems with rapidly oscillating coefficients
за авторством: Teplinsky, A.Yu.
Опубліковано: (1999)

Generalized Resolvents of Symmetric Relations Generated on Semi-Axis by a Differential Expression and a Nonnegative Operator Function
за авторством: Bruk, V.M.
Опубліковано: (2006)

Eigenfunctions of the Cosine and Sine Transforms
за авторством: Katsnelson, V.
Опубліковано: (2013)

Eigenfunctions of the Cosine and Sine Transforms
за авторством: V. Katsnelson
Опубліковано: (2013)

An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models
за авторством: Hallnäs, M.
Опубліковано: (2007)

On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function
за авторством: Bruk, V.M.
Опубліковано: (2011)

On Linear Relations Generated by a DiRerential Expression and by a Nevanlinna Operator Function
за авторством: V. M. Bruk
Опубліковано: (2011)

Asymptotic expansions for eigenfunctions and eigenvalues of a Steklov spectral problem for thin perforated domains with rapidly varying thickness and different boundary dimensions
за авторством: A. V. Popov
Опубліковано: (2016)

On Spaces of Boundary Values for Relations Generated by a Formally Selfadjoint Expression and a Nonnegative Operator Function
за авторством: Bruk, V.M.
Опубліковано: (2006)

Symmetries and Invariant Differential Pairings
за авторством: Eastwood, M.G.
Опубліковано: (2007)

The application of the intersect index to quasilinear eigenfunction problems
за авторством: Dymarsky, Ya.M.
Опубліковано: (1999)

Differential expression of a cysteine proteinase and cystatin pair as side¬by¬side fusion forms in Escherichia coli
за авторством: A. Gholizadeh
Опубліковано: (2016)

Mean value properties for eigenfunctions of the Laplacian on symmetric spaces
за авторством: Volchkov, V.V., та інші
Опубліковано: (2008)

The Analytic Continuation of the Lippmann-Schwinger Eigenfunctions, and Antiunitary Symmetries
за авторством: de la Madrid, R.
Опубліковано: (2009)

Convergence of the spectral decomposition of a function from the class W1p,m(G), p>1, in the vector eigenfunctions of a differential operator of the third order
за авторством: Ju. G. Abbasova, та інші
Опубліковано: (2017)

FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions
за авторством: Makarov, V.L., та інші
Опубліковано: (2007)

Eigenfunctions of axially symmetric biharmonic problems for a finite cylinder
за авторством: L. I. Postolaki
Опубліковано: (2021)

Matrix Valued Classical Pairs Related to Compact Gelfand Pairs of Rank One
за авторством: Maarten van Pruijssen, та інші
Опубліковано: (2014)

Application of the generating functional method to the radionuclides expansion problem
за авторством: V. V. Rjazanov
Опубліковано: (2014)

Hypergroups Related to a Pair of Compact Hypergroups
за авторством: Heyer, H., та інші
Опубліковано: (2016)

Asymptotic behavior of eigenvalues and eigenfunctions of the Fourier problem in a thick multilevel junction
за авторством: Melnik, T.A.
Опубліковано: (2006)

Generalized resolvents of linear relations generated by integral equations with operator measures
за авторством: V. M. Bruk
Опубліковано: (2014)

Dissipative Extensions of Linear Relations Generated by Integral Equations with Operator Measures
за авторством: V. M. Bruk
Опубліковано: (2020)

Isometric Expansions of Quantum Algebra of Linear Bounded Operators
за авторством: Zolotarev, V.A.
Опубліковано: (2006)

Singular Eigenfunctions of Calogero-Sutherland Type Systems and How to Transform Them into Regular Ones
за авторством: Langmann, E.
Опубліковано: (2007)

Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
за авторством: Langowski, B.
Опубліковано: (2015)

Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions
за авторством: Langowski, B.
Опубліковано: (2015)

On classification of pairs of potent linear operators with the simplest annihilation condition
за авторством: Bondarenko, V.M., та інші
Опубліковано: (2016)

On classification of pairs of potent linear operators with the simplest annihilation condition
за авторством: V. Bondarenko, та інші
Опубліковано: (2016)

On classification of pairs of potent linear operators with the simplest annihilation condition
за авторством: Bondarenko, Vitaliy M., та інші
Опубліковано: (2016)

Differential expression of 16 genes coding for cell cycle – and apoptosis-related proteins in vitamin D-induced differentiation of HL-60 cells
за авторством: Kanli, A., та інші
Опубліковано: (2007)

On certain homological invariant and its relation with Poincaré duality pairs
за авторством: Andrade, M.G.C., та інші
Опубліковано: (2018)

Classes of Analytic Functions Defined by a Differential Operator Related to Conic Domains
за авторством: E. Deniz, та інші
Опубліковано: (2015)

Classes of Analytic Functions Defined by a Differential Operator Related to Conic Domains
за авторством: Deniz, E., та інші
Опубліковано: (2015)

Eigenfunction and Green's function asymptotics for Hill's equation with symmetric single well potential
за авторством: A. Kabataş
Опубліковано: (2022)