“…The book is intended for a wide audience in the mathematical and engineering sciences and is accessible to readers with a basic grasp of real, complex, and functional analysis.…”
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“…The prerequisites are: standard functional analysis, the theory of semigroups of operators and its use in the study of PDEs, some knowledge of the dynamic programming approach to stochastic optimal control problems in finite dimension, and the basics of stochastic analysis and stochastic equations in infinite-dimensional spaces.…”
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“…Taking readers with a basic knowledge of probability and real analysis to the frontiers of a very active research discipline, this textbook provides all the necessary background from functional analysis and the theory of PDEs. It covers the main types of equations (elliptic, hyperbolic and parabolic) and discusses different types of random forcing. …”
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“…This book provides a student's first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms. …”
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“…Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. …”
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“…The volume starts with four chapters on functional analysis, which are packed with examples and counterexamples to familiarize the reader with the basic facts on Lebesgue integration and weak derivatives. …”
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“…In this paper the authors introduce a general framework for the study of limits of relational structures and graphs in particular, which is based on a combination of model theory and (functional) analysis. The authors show how the various approaches to graph limits fit to this framework and that the authors naturally appear as "tractable cases" of a general theory. …”
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“…Specifically, we developed and applied genetic suppressor screening methods to identify second mutations in cohesin complex genes that rescue lethality caused by various site-specific abnormalities in the cohesin complex. Functional analysis of these missense suppressor mutations revealed novel features of cohesin. …”
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“…This work introduces a valuable genetic tool for the functional analysis of Anopheles mosquito neurobiology and initiates characterization of the sensory neurons that guide mosquito behavior.…”
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“…Our results highlight the complex transcriptomic regulation and metabolic alterations in the injured brain and will directly enable the design of reagents to target specific genes in the human brain for functional analysis.…”
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“…The use of ancestral sequence reconstruction (ASR) and functional analysis of reconstructed stators shows promise for understanding how these proteins evolved and when the divergence in ion use may have occurred. …”
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“…It requires some advanced pure mathematics functional analysis tools. This paper aims to bring several contributions to the existing functional data analysis literature. …”
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“…ETV6::Fyn‐related kinase (FRK), which is a Src family tyrosine‐kinase‐related fusion gene and firstly identified in our patient with paediatric high risk B cell precursor acute lymphoblastic leukaemia (B‐ALL), has no evidence of efficacy of tyrosine kinase inhibitor in vivo. We performed functional analysis of ETV6::FRK to establish molecular targeting therapy and determined that dasatinib could abrogate proliferation activity of ETV6::FRK through the repression of FRK‐STAT3/STAT5 pathway in vitro and significantly extended the survival time of the xenografted mice in vivo (p < 0.01). …”
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“…Our studies provide a good starting point for further functional analysis of MHC phosphor-signalling events within different cells.…”
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“…The significance of our findings is suggested by the identification of cellular membrane proteins interacting with other virus proteins. Further functional analysis of these HBsAg- interacting cellular membrane proteins should shed new insights on their role in HBV morphogenesis.…”
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“…Thus BRCA1 mutant cells cannot develop further into full-grown tumors unless this cellular defense is broken. Functional analysis of BRCA1 in cell cycle checkpoints, genome integrity, DNA damage response (DDR) and tumor evolution should benefit our understanding of the mechanisms underlying BRCA1 associated tumorigenesis, as well as the development of therapeutic approaches for this lethal disease.…”
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“…RESULTS: We describe here involvement of the signaling enzyme Phospholipase D (Pld) in regulation of this developmental step. Functional analysis using gene targeting revealed that cellularization is hindered by the loss of Pld, resulting frequently in early embryonic developmental arrest. …”
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“…This is particularly important when complex biological hypotheses/questions, such a functional analysis and regulatory interactions within biological systems, are investigated. …”
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“…Because of this and because of hints from several lines of functional analysis, it has been proposed that the two isotypes might not operate equivalently. …”
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“…On their own or in combination with other methods, microarrays open up many new avenues of functional analysis.…”
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