| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910480124603321 |
|
|
Autore |
Schochetman Irwin E. <1939-> |
|
|
Titolo |
Kernels and integral operators for continuous sums of Banach spaces / / Irwin E. Schochetman |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence : , : American Mathematical Society, , [1978] |
|
©1978 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (129 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society ; ; number 202 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Banach spaces |
Integral operators |
Kernel functions |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
|
|
|
|
|
Nota di contenuto |
|
""CONTENTS""; ""CHAPTER 0. INTRODUCTION, BACKGROUND, AND PRELIMINARIES""; ""CHAPTER I. CONTINUOUS AND MEASURABLE VECTOR FIELDS""; ""1. Continuity structures and continuity""; ""2. Equicontinuity""; ""3. Measurability""; ""4. Product spaces""; ""CHAPTER II. CONTINUOUS SUMS OF BANACH SPACES""; ""5. Spaces of continuous vector fields""; ""6. Lebesgue spaces""; ""7. Mixed-norm Lebesgue spaces""; ""8. Dual continuity structures""; ""CHAPTER III. KERNEL FIELDS""; ""9. Norm formulas""; ""10. Strong continuity and measurability""; ""11. Weak continuity and measurability"" |
""12. Uniform continuity and measurability""""13. Finite-rank kernels""; ""14. Hilbert-Schmidt kernels""; ""CHAPTER IV. INTEGRAL OPERATORS AND COMPACTNESS""; ""15. Integral operators""; ""16. Compact operators""; ""17. Hilbert-Schmidt operators""; ""18. Trace-class operators""; ""CHAPTER V. APPLICATION TO INDUCED BANACH REPRESENTATIONS""; ""19. Induced Banach representations""; ""20. The integrated form""; ""21. Compactness for induced representations""; ""REFERENCES"" |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9911018756803321 |
|
|
Autore |
Sun Hong-Xiang |
|
|
Titolo |
Acoustic Metamaterials : Asymmetric Transmission, Focusing, and Asymmetric Focusing / / by Hong-Xiang Sun, Yong Ge, Shou-Qi Yuan |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 2025.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (283 pages) |
|
|
|
|
|
|
Collana |
|
Microfluidics and Nanophotonics: Science and Engineering, , 2730-9037 ; ; 2 |
|
|
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Acoustics |
Metamaterials |
Underwater acoustics |
Ultrasonics |
Acoustical engineering |
Noise control |
Underwater Acoustics |
Engineering Acoustics |
Noise Control |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di contenuto |
|
Foreword -- Preface -- List of Abbreviations -- Introduction -- Basic theory of sound manipulation based on acoustic metamaterials -- Acoustic asymmetric transmission by underwater plate-like metamaterials -- Acoustic asymmetric transmission by airborne metamaterials -- Acoustic focusing in ring-shaped metamaterials -- Acoustic focusing by phase-controlled metamaterials -- Acoustic focusing by thermoacoustic phase-controlled metamaterials -- Acoustic asymmetric focusing by asymmetric modulation metamaterials -- Three-dimensional acoustic focusing and asymmetric focusing by phase-controlled metamaterials. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
This book explores the rapidly evolving field of acoustic metamaterials, focusing on their ability to manipulate sound waves through asymmetric transmission, acoustic focusing, and acoustic asymmetric |
|
|
|
|
|
|
|
|
|
|
focusing. It introduces innovative research methods and achievements, such as the use of underwater plate-like metamaterials, airborne metamaterials, and phase-controlled metamaterials to achieve precise control over sound propagation in 2D and 3D spaces. Readers will be particularly interested in the novel applications of these materials in medical ultrasound, underwater detection, acoustic communication, and noise reduction, as well as the development of advanced devices like broadband AF lenses and thermoacoustic phase-controlled metamaterials. The book is enriched with detailed illustrations, tables, and clear theoretical explanations, making complex concepts accessible. It provides valuable insights into the design and modulation of high-performance acoustic devices, offering both foundational knowledge and advanced techniques for practical applications. This work is particularly beneficial for researchers, engineers, and graduate students in acoustics, materials science, and related fields, as it bridges the gap between theoretical research and real-world applications. |
|
|
|
|
|
| |