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Showing 1 to 20 of 46 for “"Function spaces"”.
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Machine Learning in Function Spaces
… which aims to learn mappings (operators) between functions from data. Many physical systems can be mathematically formulated as giving a relationship between functional data, hence operator learning has the potential to be a transformative tool in applications such as fluid dynamics, solid …
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Non-commutative Banach function spaces
Bibliography: pages 261-264.
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Projections in Certain Continuous Function Spaces
Made available in DSpace on 2014-12-05T21:50:10Z (GMT). No. of bitstreams: 1 5805402.pdf: 1430619 bytes, checksum: 68af6cc7f443e71cb3a9280f32c76362 (MD5) Previous issue date: 1958
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Metric entropies of various function spaces
… as $\varepsilon\ \to {\rm 0}\sp{+}$ for various function spaces. Some spaces we consider are the Sobolov spaces $L\sbsp{1}{p}$((0, 1)) for 1 $<$ $p \leq$ 2, and spaces of smooth functions on certain Cantor-like subsets of (0, 1).
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Composition operators on Banach function spaces
… survey of the topic of composition operators on spaces of (equivalence classes of) measurable functions and attempt to unify some of the most important results contained in the literature. A large class of these spaces can be equipped with norms turning them into Banach lattices. These spaces are …
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Function spaces and a problem of banach
Function spaces have been a useful tool in probing the convergence of sequences of functions. The theory seems to have been triggered off by the works of Ascoli [36], Arzelà [37] and Hadamard [38]. In this thesis, we consider the space of continuous functions from a topological space X into the …
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Spaces of continuous linear functionals on function spaces
This thesis is a study of several spaces of continuous linear functionals on various function spaces with a natural norm inherited from a larger Banach space. The completeness of these normed linear spaces is studied in detail and several necessary and sufficient conditions are obtained in this …
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Operators on some analytic function spaces and their dyadic counterparts
… several questions on harmonic and analytic functions spaces and some of their operators. These questions deal with Carleson-type measures in the unit ball, bi-parameter paraproducts and multipliers problem on the bitorus, boundedness of the Bergman projection and analytic Besov spaces in …
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Global normal forms and global properties in function spaces for second order Shubin type operators
… G) type differential operators P(x;D) in functional spaces on Rn. We describe the isomorphism properties of normal form transformations, introduced by L. Hormander for the study of affine symplectic transformations acting on pseudodifferential operators, in spaces like the Schwartz class, …
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Wavelets, Coorbit Theory, and Projective Representations
<p>Banach spaces of functions, or more generally, of distributions are one of the main topics in analysis. In this thesis, we present an abstract framework for construction of invariant Banach function spaces from projective group representations. Coorbit theory gives a unified method to construct …
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Construction of lattice rules for multiple integration based on a weighted discrepancy
… thesis allow good approximations to integrals of functions belonging to certain weighted function spaces. These function spaces were proposed as an explanation as to why integrals in many variables appear to be successfully approximated although the standard theory indicates that the number of …
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Volumetric Attribute Compression for 3D Point Clouds using Feedforward Network with Geometric Attention
… approach: given a target volumetric attribute function $f : \mathbb{R}^3 \rightarrow \mathbb{R}$, we quantize and encode parameter vector $\theta$ that characterizes $f$ at the encoder, for reconstruction $f_{\hat{\theta}}(\x)$ at known 3D points $\x$'s at the decoder, where $\hat{\theta}$ is a …
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Construction of Piecewise Linear Wavelets.
… means for hierarchical data decomposition of function spaces into mutually orthogonal wavelet spaces. Wavelet construction in more than one-dimensional setting is a very challenging and important research topic. In this thesis, we first introduce the method of construction wavelets by using …
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Regularity of the Bergman Projection on Variants of the Hartogs Triangle
… projection from the space of square integrable functions onto the space of square integrable holomorphic functions on a domain. Initially, the projection is defined on the L2 space, but its behavior on other function spaces, e.g. Lp, Sobolev and Holder spaces, is of considerable interest.In this …
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Local properties of transitive quasi-uniform spaces
… completions of transitive quasi-uniform spaces that are members of the Pervin quasi-proximity class. Chapter III discusses locally complete, locally precompact, locally symmetric and locally transitive quasi-uniform spaces. Chapter IV is devoted to function spaces of quasi-uniform spaces. …
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Leibniz-type rules associated to bilinear pseudodifferential operators
… the size and smoothness of a product of functions in terms of the size and smoothness of the individual functions themselves. Such rules are helpful in determining well-posedness results for solutions of PDEs modeling a variety of real world phenomena, ranging from Euler and Navier-Stokes …
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Global in time existence of Sobolev solutions to semi-linear damped sigma-evolution equations in L^q scales
… damped σ-evolution equations from suitable function spaces basing on L^q spaces by mixing additional L^m regularity for the data on the basis of L^q-L^q estimates for solutions, with q∈(1,∞) and m∈[1,q), to the corresponding linear models. To establish desired results, we would like to apply …
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On mobs with certain group-like properties
… inverses are given in the section dealing with function spaces. Using the classical construction of Haar as a guide, we succeed in obtaining a (non-trivial) regular, right-invariant measure over a locally compact left group satisfying the conditions: a) open sets are preserved by left …
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Application of Helmholtz/Hodge Decomposition to Finite Element Methods for Two-Dimensional Maxwell's Equations
… 2. In Chapter 3, we discuss the related vector function spaces and the Helmholtz/Hodge decomposition which are used in Chapter 4 and 5. The new results in this dissertation are presented in Chapter 4 and Chapter 5. In Chapter 4, we propose a new numerical approach for two-dimensional Maxwell's …
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Smoothing estimates for non commutative spaces
… the Sobolev embedding from noncommutative $L_p$ spaces to general Orlicz function spaces related with Cowling and Meda's work. Also we will show some examples to illustract the relation between the Orlicz function, dispersive estimate on semigroup $T_t$ and general resolvent formula on the …
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