Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 25 for “"integral operators"”.
-
Estimates on Oscillatory Singular Integral Operators
<p>Included with every oscillatory singular integral operator is a phase function and a kernel, both essential to the operator’s behavior over any function space. Studies on such operators are rooted in the deep theories developed by Fourier, Calder´on, Zygmund, and Stein. In this work we show …
-
Spectral collocation method for compact integral operators
… and analyze a spectral collocation method for integral</p> <p>equations with compact kernels, e.g. piecewise smooth kernels and</p> <p>weakly singular kernels of the form $\frac{1}{|t-s|^\mu}, \;</p> <p>0<\mu<1. $ We prove that 1) for integral equations, the convergence</p> <p>rate depends on …
-
Integral operators and partial differential equations in Morrey type spaces
… lo studio della limitatezza di alcuni operatori integrali in spazi funzionali di tipo Morrey. Inoltre si studia la regolarità di soluzioni di equazioni differenziali alle derivate parziali.
-
The Solution of Partial Differential Equations Using a Space of Integral Operators
Made available in DSpace on 2014-12-11T18:23:44Z (GMT). No. of bitstreams: 1 7121258.pdf: 2377426 bytes, checksum: 87e3a48fb2fac12eecc9989f65e3c0d5 (MD5) Previous issue date: 1971
-
Theorems of Wiener-Lévy type for integral operators in C<sub>p</sub>
… analytic transformations acting upon kernels of integral operators of the form (Tφ)(x) = ∫<sub>-π</sub><sup>π</sup> K(x,y)φ(y)dy and the so-called s-numbers of K and W[K] take the place of the classical Fourier coefficients of f and W[f]. Theorem: Let W(z) be analytic in a region R and let K(x,y) …
-
The radon split of radially acting linear integral operators on H2 with uniformly bounded double norms
… of the Radon Split for solving radial integral equation involving radially acting integral operator on the Hardy-Lebesgue Class [Special characters omitted.] of the half-upper plane [Special characters omitted.] . In this process, we take a scrutinizing look at [Special characters …
-
Operators and special functions in random matrix theory
The Fredholm determinants of integral operators with kernel of the form (A(x)B(y) − A(y)B(x))/(x−y) arise in probabilistic calculations in Random Matrix Theory. These were extensively studied by Tracy and Widom, so we refer to them as Tracy–Widom operators. We prove that the integral operator with …
-
Efficient matrix-free implementation and automated verification of hybridizable discontinuous Galerkin finite element methods
… spaces and mappings, discretization of the integral operators, boundary conditions, and assembly of the linear systems. We provide a flexible mapping procedure amenable to both quadrature-free and quadrature-based discretizations, and compare the accuracy of the two on different problem …
-
Discrete Littlewood-Paley-Stein Theory And Wolff Potentials On Homogeneous Spaces And Multi-Parameter Hardy Spaces
… $H^p-H^p$ boundedness criterions for singular integral operators. On the other hand, we compare the Wolff and Riesz potentials on spaces of homogenous type, followed by a Hardy-Littlewood-Sobolev type inequality. Then we drive integrability estimates of positive solutions to the Lane-Emden type …
-
Spectral Properties of Magnetic Edge States
… To quantize the billiards, the boundary integral method is extended to the magnetic problem and to general boundary conditions. By virtue of an analytical regularization of the (hyper-)singular integral operators, we obtain for the first time precise quantum spectra even in the extreme …
-
A look at T1 and Tb theorems on non-homogeneous spaces through time-frequency analysis
One of the widely studied topics in singular integral operators is T1 theorem. More precisely, it asks if one can extend a Calder\'on-Zygmund operator to a bounded operator on $L^p$. In addition, Tb theorem was raised when one asks if the T1 theorem remains true if the function $1$ is substituted …
-
Adams inequalities with exact growth condition : on Rn and the Heisenberg group
… gradients and homogeneous elliptic differential operators. Next we give an application to a quasilinear elliptic equation, and prove the existence of ground state solution of this equation. Lastly, we extend our result to the Heisenberg group. By applying the same technique used in R[superscript …
-
Boundary integral equation based numerical solutions of helmholtz transmission problems for composite scatters
… an in-depth comparison between boundary integral equation solvers and Domain Decomposition Methods (DDM) for frequency domain Helmholtz transmission problems in composite two-dimensional media is presented. Composite media are characterized by piece-wise constant material properties …
-
Sparse technology in weighted harmonic analysis
… the Muckenhoupt-Wheeden conjectures for sparse operators. More specifically, we will construct a pair of weights $(u,v)$ for which the Hardy-Littlewood maximal function is bounded from $L^p(v)$ to $L^p(u)$ and from $L^{p'}(u^{1-p'})$ to $L^{p'}(v^{1-p'})$ while a dyadic sparse operator is not …
-
Cubature rules from a generalized Taylor perspective
The accuracy and efficiency of computing multiple integrals is a very important problem that arises in many scientific, financial and engineering applications. The research conducted in this thesis is designed to build on past work and develop and analyze new numerical methods to evaluate double …
-
H(p) Spaces and Inequalities in Ergodic Theory
… the theory of ergodic Hp spaces, singular integral operators and the theory of Banach space-valued operators to establish a new method to study the inequalities for the operators induced by an ergodic, measure preserving transformation. This method also indicates the close connection …
-
Microlocal analysis of asymptotically complex hyperbolic manifolds and their conformal contact boundaries
… belongs to an appropriate class of Fourier integral operators and analyze its trace. We prove that the singularities of its trace are contained in the set of lengths of closed geodesics and obtain an asymptotic expansion for the trace at time zero. Each chapter can be treated as …
-
Superconvergence in Iterated Solutions of Integral Equations
… iterated numerical solutions for the Fredholm integral equations of the second kind as well as a class of nonliner Hammerstein equations. The term superconvergence was first described in the early 70s in connection with the solution of two-point boundary value problems and other related partial …
Page 1 of 2