03284nmm a2200397 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002600139245020200165250001700367260004000384300003400424505089100458653002801349653002101377653005301398653002501451653003401476653003201510653001601542653005601558653006001614653002401674653002101698700003601719041001901755989003801774490004401812028003001856856007201886082001001958520091801968EB000619886EBX0100000000000000047296800000000000000.0cr|||||||||||||||||||||140122 ||| eng a97814612415841 aSaichev, Alexander I.00aDistributions in the Physical and Engineering ScienceshElektronische RessourcebDistributional and Fractal Calculus, Integral Transforms and Waveletscby Alexander I. Saichev, Wojbor A. Woyczynski a1st ed. 1997 aBoston, MAbBirkhĂ¤userc1997, 1997 aXVIII, 336 pbonline resource0 aI Distributions and their Basic Applications -- 1 Basic Definitions and Operations -- 2 Basic Applications: Rigorous and Pragmatic -- II Integral Transforms and Divergent Series -- 3 Fourier Transform -- 4 Asymptotics of Fourier Transforms -- 5 Stationary Phase and Related Method -- 6 Singular Integrals and Fractal Calculus -- 7 Uncertainty Principle and Wavelet Transforms -- 8 Summation of Divergent Series and Integrals -- A Answers and Solutions -- A.1 Chapter 1. Definitions and operations -- A.2 Chapter 2. Basic applications -- A.3 Chapter 3. Fourier transform -- A.4 Chapter 4. Asymptotics of Fourier transforms -- A.5 Chapter 5. Stationary phase and related methods -- A.6 Chapter 6. Singular integrals and fractal calculus -- A.7 Chapter 7. Uncertainty principle and wavelet transform -- A. 8 Chapter 8. Summation of divergent series and integrals -- B Bibliographical Notes aEngineering mathematics aFourier Analysis aMathematical Modeling and Industrial Mathematics aMathematical physics aEngineering / Data processing aApplications of Mathematics aMathematics aTheoretical, Mathematical and Computational Physics aMathematical and Computational Engineering Applications aMathematical models aFourier analysis1 aWoyczynski, Wojbor A.e[author]07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aApplied and Numerical Harmonic Analysis50a10.1007/978-1-4612-4158-440uhttps://doi.org/10.1007/978-1-4612-4158-4?nosfx=yxVerlag3Volltext0 a003.3 aDistributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practioners and researchers. The goal of the book is to give the reader, specialist and non-specialist useable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise