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Showing 1 to 10 of 10 for “"Almost periodic"”.
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Frequency-domain analysis of memoryless nonlinearities having large-signal, almost periodic excitations
… encounter difficulty when the response is almost periodic (that is, when the frequencies in its Fourier series are not all harmonically related), especially when the nonlinear characteristic is abrupt and the Fourier series for the response contains many significant terms. This dissertation …
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Almost everywhere convergence of dyadic partial sums of Fourier series for almost periodic functions
… sums of the Fourier series of \(f\) converge almost everywhere for \(p\) \(\in\) (1, \(\infty\)). In 1968, E. A. Bredihina established an analogous result for the Stepanov spaces of almost periodic functions in the case \(p\) = 2. Here, a new proof of the almost everywhere convergence result …
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Applications of almost periodic functions and equivalent nonlinearities to identification and control of nonlinear systems
… system may be identified. The concept of the almost periodic function is presented and it is concluded that by means of almost periodic fi.ncti&ns it is possible to identify the linear portion of the nonlinear channel in the system. The technique is essentially based on destroying the …
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Response of periodic structures
Periodic structures are defined as structures consisting of identical substructures connected to each other in identical manner. In chapter I, the response of periodic structures to harmonic excitation is described by a matrix difference equation. The solution of the matrix difference equation can …
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An harmonic analysis for operators on homogeneous Banach spaces.
… cases, we define the classes of invariant and almost invariant operators in L (B) and investigate their properties. With each T ∈ L (B), we associate a Fourier series and show that this series converges to T in a certain specified sense. For G = T , we show that formal properties of the usual …
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Rigidity operators and the flexibility of infinite bar-joint frameworks
… an analysis of the vector subspace of strictly periodic flexes implied by the translational symmetry of crystal frameworks and we prove a relation in which the space of supercell n-fold periodic flexes can be written as a direct sum of the relevant vector subspaces of phase periodic flexes. A …
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Method of Averaging in Constructing Asymptotics of Solutions of Systems of Linear Difference Equations
… class of linear difference equations with almost periodic, near constant coefficients. Chapters 3--5 are devoted to constructing asymptotic representations of solutions for specific classes of systems of linear difference equations. In each case we establish ways to use the ideas of the …
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Non-selfadjoint operator algebras generated by unitary semigroups
… a semicrossed product for the action on analytic almost periodic functions by the semigroup of one-sided translations and we determine its isometric isomorphism group. Moreover, it is shown that the norm closed triple semigroup algebra AphG+ is the triple semi-crossed product Ap ×v G+, where v …
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LONG TIME BEHAVIOR OF LINEAR AND NONLINEAR WAVES:LARGE LARGE AMPLITUDE TRAVELING QUASI-PERIODIC SOLUTIONS IN FLUID MECHANICS AND DYNAMICS OF LINEAR WAVE EQUATIONS
… on tori and we prove existence results of quasi-periodic large amplitude solutions for fluid-dynamic models in more than one space-dimension and a stability result for the linear Klein-Gordon Equation with a small quasi-periodic perturbation. In the first part of the thesis, where we consider two …