and Preliminaries -- Almost Automorphic Evolution Equations -- Almost Periodicity in Fuzzy Setting -- Almost Automorphy in Fuzzy Setting.Since the publication of our first book [80], there has been a real resiu-gence of interest in the study of almost automorphic functions and their applications ([16, 17, 28, 29, 30, 31, 32, 40, 41, 42, 46, 51, 58, 74, 75, 77, 78, 79]). New methods (method of i…
Wavelets: Basic properties, parameterizations and sampling -- Derivatives and multiwavelets -- Sampling in Fourier and wavelet analysis -- Bases for time-frequency analysis -- Fourier uncertainty principles -- Function spaces and operator theory -- Uncertainty principles in mathematical physics.Developed in this book are several deep connections between time--frequency (Fourier/Gabor) analysis …
Inverse Scattering with Rational Scattering Coefficients and Wave Propagation in Nonhomogeneous Media -- Aluthge Transforms and the Convex Hull of the Spectrum of a Hilbert Space Operator -- Maximal Nevanlinna-Pick Interpolation for Points in the Open Unit Disc -- On the Numerical Solution of a Nonlinear Integral Equation of Prandtl’s Type -- Fourier Integral Operators and Gelfand-Shilov Spac…
Operators on Sequences -- Basic Rank Selectors, Pulses and Impulses -- LULU-Smoothers, Signals and Ambiguity -- LULU-Intervals, Noise and Co-idempotence -- Smoothing and Approximation with Signals -- Variation Reduction and Shape Preservation -- Multiresolution Analysis of Sequences -- The Discrete Pulse Transform -- Fair Comparison with Linear Smoothers -- Interpretation and Future.This monogr…
Introductory Chapter -- Laplace Operators on Riemannian Manifolds -- Lagrangian Formalism on Riemannian Manifolds -- Harmonic Maps from a Lagrangian Viewpoint -- Conservation Theorems -- Hamiltonian Formalism -- Hamilton-Jacobi Theory -- Minimal Hypersurfaces -- Radially Symmetric Spaces -- Fundamental Solutions for Heat Operators with Potentials -- Fundamental Solutions for Elliptic Operators …
Theory of Calculus in One Real Variable -- Metric Spaces -- Theory of Calculus in Several Real Variables -- Theory of Ordinary Differential Equations and Systems -- Lebesgue Measure and Abstract Measure Theory -- Measure Theory for Euclidean Space -- Differentiation of Lebesgue Integrals on the Line -- Fourier Transform in Euclidean Space -- Lp Spaces -- Topological Spaces -- Integration on Loc…
Nozioni di base -- Funzioni -- Limiti e continuità I -- Limiti e continuità II -- Confronto locale di funzioni. Successioni e serie numeriche -- Calcolo differenziale -- Sviluppi di Taylor e applicazioni -- Rappresentazioni del piano e dello spazio -- Calcolo integrale I -- Calcolo integrale II -- Equazioni differenziali ordinarie.Il testo intende essere di supporto ad un primo insegnamento d…
to Boundary-Value Problems -- Compact Self-Adjoint Operators -- Topics in Euclidean Fourier Analysis -- Topics in Functional Analysis -- Distributions -- Compact and Locally Compact Groups -- Aspects of Partial Differential Equations -- Analysis on Manifolds -- Foundations of Probability.Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically de…
Introduction -- Wavelet Transforms and Group Representations -- The Plancherel Transform for Locally Compact Groups -- Plancherel Inversion and Wavelet Transforms -- Admissible Vectors for Group Extension -- Sampling Theorems for the Heisenberg Group -- References -- Index.This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their c…
1 Approximation with Polynomials -- 1.1 Approximation of a function on an interval -- 1.2 Weierstrass’ theorem -- 1.3 Taylor’s theorem -- 1.4 Exercises -- 2 Infinite Series -- 2.1 Infinite series of numbers -- 2.2 Estimating the sum of an infinite series -- 2.3 Geometric series -- 2.4 Power series -- 2.5 General infinite sums of functions -- 2.6 Uniform convergence -- 2.7 Signal transmissio…