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Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum Mechanics [Minkštas viršelis]

(Leibniz Univ Hannover, Germany), (Univ Of Johannesburg, South Africa)
  • Formatas: Paperback / softback, 456 pages
  • Išleidimo metai: 26-Sep-2022
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811246831
  • ISBN-13: 9789811246838
Kitos knygos pagal šią temą:
Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum MechanicsDidesnis paveikslėlis
  • Formatas: Paperback / softback, 456 pages
  • Išleidimo metai: 26-Sep-2022
  • Leidėjas: World Scientific Publishing Co Pte Ltd
  • ISBN-10: 9811246831
  • ISBN-13: 9789811246838
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9789811246838.html
Raktažodžiai:

This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions. The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.

Preface v
Symbol Index ix
1 Normed Spaces and Banach Spaces
1(26)
1.1 Introduction
1(5)
1.2 Solved Problems
6(15)
1.3 Supplementary Problems
21(6)
2 Hilbert Spaces
27(30)
2.1 Introduction
27(7)
2.2 Solved Problems
34(18)
2.3 Supplementary Problems
52(5)
3 Finite Dimensional Hilbert Spaces
57(78)
3.1 Introduction
57(4)
3.2 Solved Problems
61(48)
3.3 Programming Problems
109(7)
3.4 Supplementary Problems
116(19)
4 Hilbert Space L2(Ω)
135(68)
4.1 Introduction
135(5)
4.2 Solved Problems
140(39)
4.3 Programming Problems
179(5)
4.4 Supplementary Problems
184(19)
5 Hilbert Space L2 (I)
203(48)
5.1 Introduction
203(3)
5.2 Solved Problems
206(29)
5.3 Programming Problems
235(2)
5.4 Supplementary Problems
237(14)
6 Fourier Transform
251(30)
6.1 Introduction
251(3)
6.2 Solved Problems
254(19)
6.3 Supplementary Problems
273(8)
7 Wavelets
281(16)
7.1 Introduction
281(4)
7.2 Solved Problems
285(10)
7.3 Supplementary Problems
295(2)
8 Holomorphic Entire Functions and Hilbert Space
297(16)
8.1 Introduction
297(3)
8.2 Solved Problems
300(10)
8.3 Supplementary Problems
310(3)
9 Generalized Functions
313(38)
9.1 Introduction
313(3)
9.2 Solved Problems
316(22)
9.3 Supplementary Problems
338(13)
10 Quantum Mechanics
351(78)
10.1 Introduction
351(2)
10.2 Solved Problems
353(50)
10.3 Supplementary Problems
403(26)
Bibliography 429(10)
Index 439