دانلود کتاب Recent Advances in Fourier Analysis and Its Applications

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Front Matter....Pages i-x
Front Matter....Pages 1-1
A Minimal Principle in the Direct Methods of X-Ray Crystallography....Pages 3-15
Fourier Shape Analysis Of Anatomic Structures....Pages 17-28
Harmonic Analysis of the Semi-Classical Limit....Pages 29-40
Fourier Transform in Non-Euclidean Space and its Applications to Physics....Pages 41-57
Complex Finite Fourier Transform Techniques Applied to Thermal Energy Storage Problems....Pages 59-72
Spline Interpolation of Data of Power Growth....Pages 73-75
Front Matter....Pages 77-77
Properties on the Unit Circle of Polynomials with Unimodular Coefficients....Pages 79-81
On the Maximum Modulus for a Certain Class of Unimodular Trigonometric Polynomials....Pages 83-100
Number Theory and Fourier Analysis Applications in Physics, Acoustics and Computer Science....Pages 101-129
Functions of Modulus 1 on Z n Whose Fourier Transforms Have Constant Modulus, and “CYCLIC n -ROOTS”....Pages 131-140
Front Matter....Pages 141-141
Uncertainty Principle Inequalities and Spectrum Estimation....Pages 143-182
The Generalized Pencil-Of-Function (GPOF) Method for Extracting Poles from Transient Responses....Pages 183-199
Application of Conjugate Gradient Method and FFT to Electromagnetics and Signal Processing Problems....Pages 201-220
On the Application of Fourier Transformation in Antenna Measurements....Pages 221-236
Computations in X-Ray Crystallography....Pages 237-250
A New Approach to Irregular Sampling of Band-Limited Functions....Pages 251-260
Auto-Cross Correlation Functions of the Even and the Odd Parts of Fourier Series....Pages 261-272
Fourier Methods Applicable in the Numerical Solution of Electromagnetic Time-Domain Scattering Problems....Pages 273-309
Some Results on the Absolutely Convergent Series of Functions and of Distributions....Pages 311-316
Invariance Techniques in Spectral Estimation and Signal Processing....Pages 317-365
Front Matter....Pages 141-141
Fourier Analysis in Reflector Antenna Synthesis....Pages 367-376
Bispectra and System Identification....Pages 377-386
Combined Laplace and Fourier Transformations in the Theory of Transient Wave Propagation in Layered Media....Pages 387-425
Coherent Frames and Irregular Sampling....Pages 427-440
Gabor and Wavelet Expansions....Pages 441-454
Translation Invariant Multiscale Analysis....Pages 455-462
High-Resolution Spectral Analysis Using Recurrence Relations....Pages 463-482
Diophantine Inequalities and Sampling Rates for Multiband Signals....Pages 483-498
Second-Harmonic Effects in Schottky-Barrier Diodes....Pages 499-506
Holographic Image Coding and Neurocomputer Architectures....Pages 507-559
Front Matter....Pages 561-561
A Weighted L 1 Estimate for the Laplace Operator....Pages 563-577
Weighted Extensions of Restriction Theorems for the Fourier Transform....Pages 579-596
Atonic Decompositions....Pages 597-611
The Wiener-Plancherel Theorem on R n ....Pages 613-622
Successive Derivatives of Analytic Functions....Pages 623-630
Combinatorial dimension and measurements of interdependencies....Pages 631-641
Comparison of Spectras in Some Functional Spaces....Pages 643-651
On a Class of Riesz Products on Metrizable Groups....Pages 653-659
Groupoids and Fourier Approximations....Pages 661-668
Front Matter....Pages 669-669
Problems....Pages 671-672
Front Matter....Pages 669-669
A Problem from the Theory of Wave Propagation in a Curved, Layered Medium....Pages 673-675
Problems on Polynomials with Restricted Coefficients Arising from Questions in Antenna Array Theory....Pages 677-678
Back Matter....Pages 679-686