## Fourier TransformsFocusing on applications rather than theory, this book examines the theory of Fourier transforms and related topics. Suitable for students and researchers interested in the boundary value problems of physics and engineering, its accessible treatment assumes no specialized knowledge of physics; however, a background in advanced calculus is assumed. 1951 edition. |

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applied approximate assume atomic axis Bessel functions boundary conditions boundary value problem calculated Chap components of stress consider constant cosh crack cylinder denotes derived determined Dirac delta function displacement displacement vector distribution of stress electron energy equa equation 16 equations of motion equilibrium evaluated Faltung theorem finite Hankel transform fluid follows from equation force Fourier sine transform Fourier transform Hankel inversion theorem infinite initial conditions integral equations integral transforms integrating with respect Laplace transform Mellin transform method momentum Multiplying both sides neutrons ordinary differential equation partial differential equation plane plate positive roots pressure Proc radius readily reduces result roots of equation shearing stress shown in Fig sides of equation Similarly sinh slowing-down density Sneddon solid solution of equation solve Substituting from equation symmetrical temperature tend to zero Theorem 19 theory tion two-dimensional variable variation velocity vibrations wave function write