By Peter A Fillmore
The topic of operator algebras has skilled great development in recent times with major functions to parts inside algebraic arithmetic in addition to allied parts resembling unmarried operator conception, non-self-adjoint operator algegras, K-theory, knot idea, ergodic concept, and mathematical physics. This booklet makes contemporary advancements in operator algebras obtainable to the non-specialist.
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Additional info for A User's Guide to Operator Algebras (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts)
Linear equations of the second order with variable coefficients. Transformation into self-adjoint form, into normal form. Invariant. Equations with regular si ngulari ti es (equations of the Fuchsian type). ) . . . . . . . . . . . . . . . Discontinuous solutions of linear equations. . . . . . . . . . . Boundary value problems. Eigenvalue problems. Expansion theorem. Green's function . . . . . . . . . . . Systems of ordinary differential equations .
Series. Taylor's series, Laurent 's series. Singular points of holomorphic functions . . . . . . . . . . . . . . . . . . . . The residue of a function. The residue theorem and its applications . Logarithm, power. Analytic continuation. Analytic functions 243 249 254 259 269 272 B. Functions 01 Several Complex Variables By JAROSLAV FUKA Introductory remark . . Important regions in n . Functions of several complex variables. Complex derivative, complex differential, holomorphic functions .
9. Weak solutions of boundary value problems. Nonlinear problems. . . 10. Applieation ofvariational methods to the solution ofpartial differential equations eontaining time. The method of diseretization in time (the Rothe method, the "horizontal" method of lines) . . . . . . . . . . 1. 148 156 172 174 191 197 201 204 207 215 19. 1. 2. 3. 4. 5. 6. 7. Integral equations of Fredholm's type. Solvability, Fredholm's theorems. Systems of integral equations .
A User's Guide to Operator Algebras (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts) by Peter A Fillmore