Multiparameter Spectral Theory in Hilbert Space

Cover......Page a_page_001.djvu
Tides in this series......Page filename6.djvu
Title: Multiparameter Spectral Theory in Hilbert Space......Page filename6_0002.djvu
ISBN 0-273-08414-3 ......Page filename6_0003.djvu
Dedication......Page filename6_0004.djvu
Preface......Page filename6_0006.djvu
Contents......Page filename6_0008.djvu
1 An introduction......Page filename6_0011.djvu
References......Page filename6_0017.djvu
2.1 The algebraic tensor product......Page filename6_0019.djvu
2.2 Hilbert tensor product of Hilbert spaces......Page filename6_0021.djvu
2.3 Tensor products of linear operators......Page filename6_0024.djvu
2.4 Functions of several commuting self-adjoint operators......Page filename6_0026.djvu
2.5 Solvability of a linear operator system......Page filename6_0028.djvu
References......Page filename6_0037.djvu
3.1 Introduction......Page filename6_0038.djvu
3.2 Multiparameter spectral theory......Page filename6_0040.djvu
3.3 Eigenvalues......Page filename6_0044.djvu
3.4 The case of compact operators......Page filename6_0047.djvu
References......Page filename6_0051.djvu
4.1 Introduction......Page filename6_0052.djvu
4.2 Commuting self-adjoint operators......Page filename6_0053.djvu
4.3 Multi-pabambtir spectral theory......Page filename6_0061.djvu
4.4 The compact case......Page filename6_0065.djvu
4. 5 An application to ordinary differential equations......Page filename6_0068.djvu
References......Page 71
5.1 Introduction......Page filename6_0072.djvu
5.2 An eigenvalue problem......Page filename6_0074.djvu
5.3 The factorisation of W......Page filename6_0076.djvu
5.4 An application to ordinary differential equations......Page filename6_0083.djvu
5.5 A comparison of the definiteness conditions......Page filename6_0087.djvu
References......Page filename6_0090.djvu
6.2 The problem......Page filename6_0091.djvu
6.3 Some applications to ordinary differential equations......Page filename6_0097.djvu
References......Page filename6_0100.djvu
7.1 Introduction......Page filename6_0101.djvu
7.2 Direct sums of Hilbert spaces......Page filename6_0102.djvu
7.3 Reduction of strongly coupled......Page filename6_0104.djvu
7.4 Spectbal theory for weakly coupled systems......Page filename6_0106.djvu
References......Page filename6_0108.djvu
8.1 Introduction......Page filename6_0109.djvu
8. 2 The fundamental reformulation......Page filename6_0111.djvu
8.3 Two-parameter spectral theory......Page filename6_0112.djvu
8.4 Concerning eigenvalues......Page filename6_0114.djvu
8.5 The case of unbounded operators......Page filename6_0116.djvu
8.6 An application to ordinary differential equations......Page filename6_0118.djvu
References......Page filename6_0119.djvu
9.1 Solvability of linear operator systems......Page filename6_0121.djvu
9.2 Multiparameter spectral theory for bounded operators......Page filename6_0122.djvu
9.3 Multiparameter spectral theory for unbounded operators......Page filename6_0123.djvu
9.5 Applications......Page filename6_0124.djvu
References......Page filename6_0125.djvu
Index......Page filename6_0126.djvu