Search Results - classification ams::47 operator theory::47a general theory of linear operators*

A characterization of singular Schrödinger operators on the half-line

Authors: Raffaele Scandone Lorenzo Luperi Baglini Kyrylo Simonov

Source: Canadian Mathematical Bulletin. 64:923-941

Subject Terms: 34L40, 34E15, 35J10, 03H05, 26E35, 47S20, math-ph, 35J10, FOS: Physical sciences, math.FA, 34L40, 01 natural sciences, Mathematics - Spectral Theory, math.MP, Schrödinger operators, singular perturbations, point interactions, nonstandard analysis, 101032 Funktionalanalysis, FOS: Mathematics, 103019 Mathematische Physik, 0101 mathematics, Spectral Theory (math.SP), Mathematical Physics, 47S20, 103019 Mathematical physics, QUANTUM-MECHANICS, 4. Education, math.SP, 101032 Functional analysis, 34E15, Mathematical Physics (math-ph), 03H05, PERTURBATIONS, Functional Analysis (math.FA), Mathematics - Functional Analysis, 26E35, AMS subject classification 34L40 34E15 35J10 03H05 26E35 47S20, Schrodinger operators, PARTICLE, POINT INTERACTIONS

File Description: application/pdf

Access URL: http://arxiv.org/pdf/2004.04212
http://arxiv.org/abs/2004.04212
https://hdl.handle.net/11588/923386
https://air.unimi.it/handle/2434/777242
https://arxiv.org/pdf/2004.04212.pdf
https://arxiv.org/abs/2004.04212

Notes On The Non Linear Operator Equation I AXAX n  

Authors: B.A. Ahmed M.M. Hilal

Source: Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 24, Iss 1 (2016)

Subject Terms: non-linear operator equation, spectral radius, positive definite operator. AMS classification: 39B42., Science

File Description: electronic resource

Relation: https://jih.uobaghdad.edu.iq/index.php/j/article/view/878; https://doaj.org/toc/1609-4042; https://doaj.org/toc/2521-3407

Access URL: https://doaj.org/article/6b740de777614eeeaf4996e06d6b7c9b

Spectral theory of pseudodifferential operators of degree 0 and an application to forced linear waves

Authors: Colin de Verdìère, Yves Institut Fourier (IF) Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )

Contributors: Colin de Verdìère, Yves Institut Fourier (IF) Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )

Source: Anal. PDE 13, no. 5 (2020), 1521-1537

Subject Terms: attractors, FOS: Physical sciences, 35B34, 01 natural sciences, Mathematics - Spectral Theory, Mourre theory, Mathematics - Analysis of PDEs, inertial waves, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], forced waves, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], escape functions, limiting absorption principle, 0101 mathematics, Spectral Theory (math.SP), Mathematical Physics, AMS codes: 35Q30, pseudodifferential operator, Morse-Smale property, 58J40, spectral theory, Mathematical Physics (math-ph), pseudo-differential operator, Morse–Smale property, internal waves, 76B55, 35Q30, 76B70, 35Q35, [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP], Analysis of PDEs (math.AP)

File Description: application/pdf

Access URL: http://arxiv.org/pdf/1804.03367
http://arxiv.org/abs/1804.03367
https://arxiv.org/abs/1804.03367
https://arxiv.org/pdf/1804.03367.pdf
https://hal.archives-ouvertes.fr/hal-01761011v2
https://www.arxiv-vanity.com/papers/1804.03367/
http://ui.adsabs.harvard.edu/abs/2018arXiv180403367D/abstract
https://hal.archives-ouvertes.fr/hal-01761011/document
https://msp.org/apde/2020/13-5/apde-v13-n5-p08-s.pdf
https://www.archives-ouvertes.fr/hal-01761011
https://projecteuclid.org/euclid.apde/1600308061

ON CLASSES OF MULTIVALENT FUNCTIONS INVOLVING LINEAR OPERATOR AND MULTIPLIER TRANSFORMATIONS

Authors: AL-KHARSANİ, H. A. AL-AREEFİ, N. M.

Source: Volume: 37, Issue: 2 115-127
Hacettepe Journal of Mathematics and Statistics

Subject Terms: İstatistik, Statistics, Analytic function, p-valent function, Differential subordinates, Differential superordinations, Dziok-Srivastava linear operator, Multiplier transformation, 2000 AMS Classification: 30 C 80, 0101 mathematics, 01 natural sciences

File Description: application/pdf

Access URL: https://dergipark.org.tr/tr/pub/hujms/issue/7770/101576

Noncommutative geometry and classification of elliptic operators.

Authors: Nazaikinskii, V. Savin, A. Sternin, B.

Source: Journal of Mathematical Sciences; Jan2010, Vol. 164 Issue 4, p603-636, 34p

Subject Terms: ELLIPTIC operators, MANIFOLDS (Mathematics), K-theory, ALGEBRA, CLASSIFICATION

Classification of linear differential operators with an invariant subspace of monomials

Authors: Post, Gerhard F. Turbiner, A.

Source: Russian journal of mathematical physics. (3):113-122

Subject Terms: High Energy Physics - Theory, Linear ordinary differential equations and systems, FOS: Physical sciences, General spectral theory of ordinary differential operators, 01 natural sciences, generalized Bochner problem, Functional Analysis (math.FA), Mathematics - Functional Analysis, invariant subspace, second-order differential operators, High Energy Physics - Theory (hep-th), linear differential operators, 0103 physical sciences, FOS: Mathematics, METIS-140399

File Description: application/xml

Access URL: http://arxiv.org/abs/funct-an/9307001
https://zbmath.org/1206288
https://research.utwente.nl/en/publications/80be86db-3f57-4b4a-816e-cda6528a99ec

Solvability in the sense of sequences for some non Fredholm operators related to the superdiffusion

Authors: Vougalter, Vitali Volpert, Vitaly Department of Mathematics University of Toronto et al.

Contributors: Vougalter, Vitali Volpert, Vitaly Department of Mathematics University of Toronto et al.

Source: Journal of Pseudo-Differential Operators and Applications

Subject Terms: 16. Peace & justice, 01 natural sciences, AMS Subject Classification: 35J10, 35P10, Non Fredholm operators, Solvability conditions, Sobolev spaces, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], solvability conditions, non Fredholm operators, 47F05, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics

File Description: application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-01573772/document
https://openrepository.ru/article?id=257635
https://hal.science/hal-01573772v1/document
https://hal.science/hal-01573772v1
https://doi.org/10.1007/s11868-017-0204-1
https://hal.archives-ouvertes.fr/hal-01573772
https://link.springer.com/article/10.1007%2Fs11868-017-0204-1
https://hal.archives-ouvertes.fr/hal-01573772/document
https://link.springer.com/10.1007/s11868-017-0204-1

Spectral analysis of second order operators with sign-changing coefficients on general compact graphs

Authors: Nicaise, Serge Université Polytechnique Hauts-de-France (UPHF) ANR-23-CE40-0005,NQG,Graphes quantiques non linéaires(2023)

Contributors: Nicaise, Serge Université Polytechnique Hauts-de-France (UPHF) ANR-23-CE40-0005,NQG,Graphes quantiques non linéaires(2023)

Source: https://hal.science/hal-04727986 ; 2024.

Subject Terms: AMS (MOS) subject classification: 35P05 35P20 34L05 indefinite problems graphs spectral theory asymptotic distributions, AMS (MOS) subject classification: 35P05, 35P20, 34L05 indefinite problems, graphs, spectral theory, asymptotic distributions, [MATH]Mathematics [math]

Availability: https://hal.science/hal-04727986
https://hal.science/hal-04727986v2/document
https://hal.science/hal-04727986v2/file/spectralcharIndefinitepb_final_revised.pdf

Linear differential operators and the general classification theory of deficiency indices

Authors: Thomas T. Read Anton Zettl Robert M. Kauffman

Source: Lecture Notes in Mathematics ISBN: 9783540085232

Access URL: https://rd.springer.com/chapter/10.1007/BFb0064280
https://link.springer.com/chapter/10.1007/BFb0064280

An application of operator-theoretic entropy to the classification of convolution operators

Authors: Shigeo Akashi

Source: Reports on Mathematical Physics. 36:189-193

Subject Terms: Structure theory of linear operators, Linear operators on function spaces (general), spectral density functions, positive convolution operators, 0101 mathematics, convex cone, Baire's category-theoretic classification, 01 natural sciences, Ergodic theory of linear operators, operator-theoretic entropy dimension, trace class of compact positive operators

File Description: application/xml

Access URL: https://tus.elsevierpure.com/ja/publications/an-application-of-operator-theoretic-entropy-to-the-classificatio
http://ui.adsabs.harvard.edu/abs/1995RpMP...36..189A/abstract
https://www.sciencedirect.com/science/article/pii/0034487796836196

Operator theory and real algebraic geometry

Authors: Dubrovin, B. A.

Subject Terms: finite zone operators, Riemannian surfaces, topological classification, Partial differential equations of mathematical physics and other areas of application, General theory of partial differential operators, quasiperiodic potential, real algebraic geometry, General topics in linear spectral theory for PDEs, Nonlinear higher-order PDEs, inverse spectral problem, spectral data, operators with periodic coefficients, abelian manifolds

File Description: application/xml

Access URL: https://zbmath.org/4061810

On the problem of classification of Banach algebras of singular integral operators withPC-coefficients inL p spaces on composite contours: On the problem of classification of Banach algebras of singular integral operators with PC-coefficients in \(L_p\) spaces on composite contours

Authors: V. A. Stukopin

Source: Functional Analysis and Its Applications. 32:212-214

Subject Terms: Integral operators, Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.), degree of integrability, singular integral operators with PC-coefficients, Linear operators on function spaces (general), classification of Banach algebras, General theory of topological algebras, weights, 0101 mathematics, Cauchy singular operator, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1292507
https://doi.org/10.1007/bf02463347
https://link.springer.com/article/10.1007/BF02463347

Homotopy classification of families of one-dimensional singular operators with piecewise continuous coefficients

Authors: Deundyak, V. M. Simonenko, I. B. Chinh Ngoc Minh

Subject Terms: Integral, integro-differential, and pseudodifferential operators, symbols algebra, Fredholm operators, ideal of compact operators, Linear operators on function spaces (general), symbols with discontinuities of the first kind, Fredholm theory of Cauchy singular integral operators with piecewise continuous symbol, Integral equations with kernels of Cauchy type, (Semi-) Fredholm operators, index theories, Classification of homotopy type, homotopy type

File Description: application/xml

Access URL: https://zbmath.org/4009126

Generalized principal eigenvalues for parabolic operators in bounded domains

Authors: Berestycki, Henri Nadin, Grégoire Rossi, Luca et al.

Contributors: Berestycki, Henri Nadin, Grégoire Rossi, Luca et al.

Source: https://hal.science/hal-04967111 ; 2025.

Subject Terms: generalized principal eigenvalues linear parabolic operator principal Floquet bundles semilinear parabolic equation parabolic maximum principle AMS classification. 35B40 35B50 35K10 35K57 35P05 47A75, generalized principal eigenvalues, linear parabolic operator, principal Floquet bundles, semilinear parabolic equation, parabolic maximum principle, MSC : 35B40, 35B50, 35K10, 35K57, 35P05, 47A75, [MATH]Mathematics [math]

Relation: info:eu-repo/grantAgreement//PRIN/EU/PRIN project "PDEs and optimal control methods in mean field games, population dynamics and multi-agent models/

Availability: https://hal.science/hal-04967111
https://hal.science/hal-04967111v1/document
https://hal.science/hal-04967111v1/file/BNRsoumis.pdf

Laplace transformations and spectral theory of two-dimensional semi-discrete and discrete hyperbolic Schroedinger operators: Laplace transformations and spectral theory of two-dimensional semidiscrete and discrete hyperbolic Schrödinger operators

Authors: Alexei Oblomkov Alexei V. Penskoi

Source: International Mathematics Research Notices. 2005(18):1089-1126

Subject Terms: 2D semidiscrete hyperbolic Schrödinger operators, 14H70, 39A70, 34K06, Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.), FOS: Physical sciences, Linear difference operators, General topics in linear spectral theory for PDEs, Mathematical Physics (math-ph), 01 natural sciences, KdV equations (Korteweg-de Vries equations), Transform methods (e.g., integral transforms) applied to PDEs, algebrogeometric spectral theory, theta-functions, 0103 physical sciences, Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions, Relationships between algebraic curves and integrable systems, semidiscrete 2D Toda lattice, 0101 mathematics, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/math-ph/0311036
https://zbmath.org/2188815
https://doi.org/10.1155/imrn.2005.1089
https://academic.oup.com/imrn/article-lookup/doi/10.1155/IMRN.2005.1089

Carleman Estimate for Elliptic Operators with Coefficients with Jumps at an Interface in Arbitrary Dimension and Application to the Null Controllability of Linear Parabolic Equations

Authors: Luc Robbiano Jérôme Le Rousseau Laboratoire d'Analyse, Topologie, Probabilités (LATP) et al.

Contributors: Luc Robbiano Jérôme Le Rousseau Laboratoire d'Analyse, Topologie, Probabilités (LATP) et al.

Source: Archive for Rational Mechanics and Analysis. 195:953-990

Subject Terms: Parabolic equation, Transmission problem, Calderón projectors, Elliptic equation, Non-smooth coefficent, Carleman estimate, 93B05, 01 natural sciences, 93B07, AMS 2000 subject classification: 35J15, 35K05, Control, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], 35S15, 0101 mathematics, Microlocal analysis

Access URL: https://hal.archives-ouvertes.fr/hal-00193885v2/file/carleman-nd.pdf
https://link.springer.com/article/10.1007%2Fs00205-009-0242-9
https://hal.archives-ouvertes.fr/docs/00/37/14/24/PDF/carleman-nd.pdf
https://hal.archives-ouvertes.fr/hal-00193885
http://ui.adsabs.harvard.edu/abs/2010ArRMA.195..953R/abstract

Classification of domains of closed operators

Authors: Werner Timmermann G. Lassner

Source: Reports on Mathematical Physics. 9:157-170

Subject Terms: Linear symmetric and selfadjoint operators (unbounded), Perturbation theory of linear operators, 0103 physical sciences, 0101 mathematics, 01 natural sciences, Sequence spaces (including Köthe sequence spaces), General theory of linear operators

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/1976RpMP....9..157L/abstract
https://www.sciencedirect.com/science/article/pii/0034487776900513
http://www.sciencedirect.com/science/article/pii/0034487776900513

On the Limit-n Classification of Ordinary Differential Operators with Positive Coefficients (II): On the limit-n classification of ordinary differential operators with positive coefficients

Authors: Robert M. Kauffman

Source: Lecture Notes in Mathematics ISBN: 9783540080589

Subject Terms: square integrable solutions, limit point differential operators, Linear ordinary differential equations and systems, General theory of ordinary differential operators, Weyl theory, 0101 mathematics, 01 natural sciences, Weyl theory and its generalizations for ordinary differential equations

File Description: application/xml

Access URL: https://zbmath.org/3594128
https://doi.org/10.1112/plms/s3-35.3.496
https://link.springer.com/content/pdf/10.1007%2FBFb0087342.pdf
https://rd.springer.com/chapter/10.1007/BFb0087342
https://academic.oup.com/plms/article/s3-41/3/499/1578753
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms/s3-35.3.496
https://link.springer.com/chapter/10.1007/BFb0087342

Some remarks on compact Weyl operators.

Authors: Fernández, Carmen Galbis, Antonio

Source: Integral Transforms & Special Functions; Aug2007, Vol. 18 Issue 8, p599-607, 9p

Subject Terms: WEYL groups, COMPACT operators, EIGENVALUES, LINEAR operators, MATRICES (Mathematics), GROUP theory

Spectral theory of pseudo-differential operators of degree 0 and application to forced linear waves

Authors: Colin de Verdìère, Yves Institut Fourier (IF ) Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )

Contributors: Colin de Verdìère, Yves Institut Fourier (IF ) Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes 2016-2019 (UGA 2016-2019 )

Source: ISSN: 2157-5045.

Subject Terms: limiting absorption principle, spectral theory, Mourre theory, attractors, inertial waves, internal waves, forced waves, pseudo-differential operator, Morse-Smale property, escape functions, AMS codes: 35Q30, 35B34, 35Q35, 58J40, 76B55, 76B70, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1804.03367; hal-01761011; https://hal.archives-ouvertes.fr/hal-01761011; https://hal.archives-ouvertes.fr/hal-01761011v2/document; https://hal.archives-ouvertes.fr/hal-01761011v2/file/hom-ham.pdf; ARXIV: 1804.03367

Availability: https://hal.archives-ouvertes.fr/hal-01761011
https://hal.archives-ouvertes.fr/hal-01761011v2/document
https://hal.archives-ouvertes.fr/hal-01761011v2/file/hom-ham.pdf