11 The following is the system of eigenfunctions of some Sturm-Liouville problem: {1} { cos(nx)} MEIN. The system is orthogonal in the inner product space (([0,πT]) with the inner product IT = √ fg dx 91 Normalize the Sy stem by Find the eigenfunction expansion of f(x) =πTX (i.e., represent the function as a series in the system of eigenfunctions). C Can You Use the Weieustrass M-test to determine whether the series converges uniformly on [0,πT]? If yes, show that it Converges uniformly on [D,πT].

11 The following is the system of eigenfunctions of some Sturm-Liouville problem: {1} { cos(nx)} MEIN. The system is orthogonal in the inner product space (([0,πT]) with the inner product IT = √ fg dx 91 Normalize the Sy stem by Find the eigenfunction expansion of f(x) =πTX (i.e., represent the function as a series in the system of eigenfunctions). C Can You Use the Weieustrass M-test to determine whether the series converges uniformly on [0,πT]? If yes, show that it Converges uniformly on [D,πT].

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 70EQ

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