## Applied Analysis by the Hilbert Space Method: An Introduction with Applications to the Wave, Heat, and Schrödinger EquationsNumerous examples and exercises highlight this unified treatment of the Hermitian operator theory in its Hilbert space setting. Its simple explanations of difficult subjects make it intuitively appealing to students in applied mathematics, physics, and engineering. It is also a fine reference for professionals. 1990 edition. |

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Applied Analysis by the Hilbert Space Method: An Introduction with ... Samuel S. Holland Limited preview - 2012 |

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analytic answer apply belongs Bessel's boundary conditions calculation called circle coefficients combination compatible complex Consider consisting constant continuous convergence coordinates corresponding defined Definition derive determined differential expression domain eigenfunctions eigenvalues energy equal equation example Exercise expansion exterior derivative fact Figure finite fixed formula Fourier series Fourier transform function f(x given gives graph Hence Hermite's Hermitian Hilbert space independent initial inner product integral interval Laplacian Legendre Legendre's limit linear means method multiplicity nonzero Note operator orthogonal basis partial particular physical polynomials positive power series problem proof prove quantum quantum mechanics refer respect result satisfy Schrödinger's Section sequence Show side simple solution solve span sphere square substitution Suppose Theorem theory variable wire write zero