Recent Advances in Fourier Analysis and Its Applications

I: Chemical, Physical and Biomedical Applications.- A Minimal Principle in the Direct Methods of X-ray Crystallography.- Fourier Shape Analysis of Anatomic Structures.- Harmonic Analysis of the Semi-Classical Limit.- Fourier Transform in non-Euclidean Space and its Applications to Physics.- Complex Finite Fourier Transform Techniques Applied to Thermal Energy Storage Problems.- Spline Interpolation of Data of Power Growth.- II: Polynomials with Restricted Coefficients.- Properties on the Unit Circle of Polynomials with Unimodular Coefficients.- On the Maximum Modulus for a Certain Class of Unimodular Trigonometric Polynomials.- Number Theory and Fourier Analysis Applications in Physics, Acoustics and Computer Science.- Functions of Modulus 1 on Zn Whose Fourier Transforms Have Constant Modulus, and “Cyclic n-Roots”.- III: Fourier Analysis in Engineering.- Uncertainty Principle Inequalities and Spectrum Estimation.- The Generalized Pencil-of-Function Method for Extracting Poles from Transient Responses.- Application of Conjugate Gradient Method and FFT to Electromagnetics and Signal Processing Problems.- On the Application of Fourier Transformation in Antenna Measurements.- Computations in X-ray Crystallography.- A New Approach to Irregular Sampling of Band-Limited Functions.- Auto-Cross Correlation Functions of the Even and the Odd Parts of Fourier Series.- Fourier Methods Applicable in the Numerical Solution of Electromagnetic Time-Domain Scattering Problems.- Results on the Absolutely Convergent Series of Functions and of Distributions.- Invariance Techniques in Spectral Estimation and Signal Processing.- Fourier Analysis in Reflector Antenna Synthesis.- Bispectra and System Identification.- Combined Laplace and Fourier Transformations in the Theory of TransientWave Propagation in Layered Media.- Coherent Frames and Irregular Sampling.- Gabor and Wavelet Expansions.- Translation Invariant Multiscale Analysis.- High-Resolution Spectral Analysis Using Recurrence Relations.- Diophantine Inequalities and Sampling Rates for Multiband Signals.- Second-Harmonic Effects in Schottky-Barrier Diodes.- Holographic Image Coding and Neurocomputer Architectures.- IV: Complex Analysis and Fourier Analysis.- A Weighted L1 Estimate for the Laplace Operator.- Weighted Extensions of Restriction Theorems for the Fourier Transform.- Atomic Decompositions.- The Wiener-Plancherel Theorem on Rn.- Successive Derivatives of Analytic Functions.- Combinatorial Dimension and Measurements of Interdependencies.- Comparison of Spectras in some Functional Spaces.- On a Class of Riesz Products on Metrizable Groups.- Groupoids and Fourier Approximations.- V: Problems.- Miscellanous.- A Problem from the Theory of Wave Propagation in a Curved, Layered Medium.- Problems on Polynomials with Restricted Coefficients Arising From Questions in Antenna Array Theory.