Results 91 to 100 of about 15,235 (310)

Convolution operators and the discrete Laplacian [PDF]

, 2009
PhDIn this thesis, we obtain new results for convolution operators on homogeneous spaces and give applications to the Laplacian on a homogeneous graph. Some of these results have been published in joint papers [13, 14] with my supervisor.
Chen, Chung-Chuan
core  

Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains [PDF]

, 2002
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea, M. Dindos, Dindos, Martin, Mitrea, Marius   +3 more
core   +2 more sources

An Extension of Hypercyclicity for N-Linear Operators

Abstract and Applied Analysis, 2014
Grosse-Erdmann and Kim recently introduced the notion of bihypercyclicity for studying the existence of dense orbits under bilinear operators. We propose an alternative notion of orbit for N-linear operators that is inspired by difference equations ...
Juan Bès, J. Alberto Conejero
doaj   +1 more source

Epigenetic heterogeneity and plasticity in therapy‐induced tumor states through single‐cell multi‐omics

Molecular Oncology, EarlyView.
Single‐cell multi‐omics reveals epigenetic heterogeneity across therapy‐adaptive tumor states, including quiescent/dormant, drug‐tolerant persister, and EMT‐like phenotypes. By linking regulatory features with state‐associated biomarkers, these approaches inform biomarker‐guided therapeutic strategies for evolving tumors.
Hee Jung Kim, Hwiyeong Lee, Jin Hong, Daechan Park   +3 more
wiley   +1 more source

Linear Fractional Transformations of Nevanlinna Functions Associated with a Nonnegative Operator [PDF]

, 2011
In the present paper a subclass of scalar Nevanlinna functions is studied, which coincides with the class of Weyl functions associated to a nonnegative symmetric operator of defect one in a Hilbert space.
Winkler, Henrik,, Henrik Winkler, Hassi, Seppo,, Wietsma, Rudi,, Henk de Snoo, Jussi Behrndt, Rudi Wietsma, de Snoo, Henk, Seppo Hassi, Snoo, Henk de, Snoo, Henk de,, Behrndt, Jussi, Hassi, Seppo, Behrndt, Jussi,, Wietsma, Rudi, Winkler, Henrik   +15 more
core   +1 more source

Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions

International Journal of Mathematics and Mathematical Sciences, 2007
Let V be an arbitrary system of weights on an open connected subset G of ℂN(N≥1) and let B(E) be the Banach algebra of all bounded linear operators on a Banach space E.
J. S. Manhas
doaj   +1 more source

Circulating microRNA signatures of cachexia and cancer in Canis familiaris as a comparative oncology model for human disease

Molecular Oncology, EarlyView.
Circulating microRNAs as biomarkers of cachexia and sex‐specific cancer in senior dogs. In 25 client‐owned dogs, four circulating miRNAs (miR‐15a, miR‐15b, miR‐16, miR‐140) were downregulated in cachexia, with miR‐16 the strongest individual biomarker (AUC = 0.899).
Soon‐Seok Park, Kyongman An, Gyeonghwa Kim, Soo‐Nyun Choi, Hong‐Ki Lee, Keun Hur, Kyu‐Shik Jeong   +6 more
wiley   +1 more source

Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces [PDF]

, 2005
Some new inequalities for the norm and the numerical radius of composite operators generated by a pair of operators are ...
Dragomir, Sever S
core  

Factorization of Hankel operators, range inclusion of Toeplitz and Hankel operators on the vector-valued Hardy space

Comptes Rendus. Mathématique
Using Douglas theorem on factorization and range inclusion of bounded linear operators, we give the factorization of Hankel operators, range inclusion of Hankel and Toeplitz operators defined on vector-valued Hardy spaces.
Bhuia, Sudip Ranjan
doaj   +1 more source

Dynamics of multivalued linear operators

Open Mathematics, 2017
We introduce several notions of linear dynamics for multivalued linear operators (MLO’s) between separable Fréchet spaces, such as hypercyclicity, topological transitivity, topologically mixing property, and Devaney chaos.
Chen Chung-Chuan, Conejero J. Alberto, Kostić Marko, Murillo-Arcila Marina   +3 more
doaj   +1 more source