Search Results - Hilbert spaces of continuous, differentiable or analytic functions

Riemann–Hilbert Approach for Constructing Analytical Solutions and Conservation Laws of a Local Time-Fractional Nonlinear Schrödinger Type Equation by Xu, Bo, Zhang, Sheng

“…Fractal and fractional calculus have important theoretical and practical value. In this paper, analytical solutions, including the N-fractal-soliton solution…”
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The ergodic theory of lattice subgroups by Gorodnik, Alexander, Nevo, Amos

“…The results established in this book constitute a new departure in ergodic theory and a significant expansion of its scope. Traditional ergodic theorems…”
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Adaptive Learning in Complex Reproducing Kernel Hilbert Spaces Employing Wirtinger's Subgradients by Bouboulis, P., Slavakis, K., Theodoridis, S.

“… Both pure complex kernels and real kernels (via the complexification trick) can be employed. Moreover, any convex, continuous and not necessarily differentiable function…”
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Adaptive Multiregression in Reproducing Kernel Hilbert Spaces: The Multiaccess MIMO Channel Case by Slavakis, K., Bouboulis, P., Theodoridis, S.

“… Any convex, continuous, and not necessarily differentiable function can be used as a loss function in order to quantify the disagreement between the output of the system and the desired response…”
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Finite Rank Solution for Conformable Second-Order Abstract Cauchy Problem in Hilbert Space by Odetallah, Huda, Abualhomos, Mayada, Sasa, Tala, Shaikh, Lubaba, Miri, Omniya

“…$ is continuous, and $u$ is continuously differentiable on $[0,\infty ).$ Our analytical methodology exploits tensor product decomposition techniques to transform the problem into finite-dimensional systems…”
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Control theoretic splines: optimal control, statistics, and path planning (princeton series in applied mathematics). by Egerstedt, Magnus, Martin, Clyde

“… Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these problems are part of the same general mathematical framework, and how they are all, to a certain…”
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Approximation of functions and their derivatives by analytic maps on certain Banach spaces by Azagra, D., Fry, R., Keener, L.

“… → be bounded and Lipschitz, with uniformly continuous derivative. Then, for each > 0, there exists an analytic function g: X → with | g−f| < and | g ′−f ′| < …”
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Characterization and computation of local Nash equilibria in continuous games by Ratliff, Lillian J., Burden, Samuel A., Sastry, S. Shankar

“… We demonstrate our analytical and computational techniques by computing local Nash equilibria in games played on a finite-dimensional differentiable manifold or an infinite…”
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HILBERT TRANSFORMS OF GENERALIZED FUNCTIONS by GEDEON, RAYMOND ABDUH

“…)' (the dual space of infinitely differentiable functions with all derivatives in L('p)) is embedded in B(G,(DELTA)). The Fourier transform is defined on B…”
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Spectral Triples and Metric Aspects of Geometry on Some Noncommutative Spaces by Chakraborty, Partha Sarathi

“… It is the study of noncommutative algebras as if they were algebras of functions on spaces like the commuta- tive algebras associated to affine algebraic varieties, smooth manifolds, topological spaces…”
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Proximal point algorithms and generalized nonlinear variational problems by Verma, Ram U.

“…Let T : K → H be a continuous ( η) – pseudomonotone and ( η, L) – relaxed monotone mapping from a nonempty closed invex subset K of a finite-dimensional Hilbert space H into H. Let f : K…”
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Advances in Non-Archimedean Analysis by Araujo-Gomez, Jesus, Diarra, Bertin, Escassut, Alain

“…: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions…”
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Inequalities in analysis and probability by Pons, Odile

“… It introduces classical inequalities in vector and functional spaces with applications to probability…”
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