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[null,"1.","Record Nr.",null,"UNISA996466383803316"]
[null,null,"Autore",null,"Müller Werner <1949->"]
[null,null,"Titolo",null,"Manifolds with cusps of rank one : spectral theory and L2-index theorem / / Werner Müller"]
[null,null,"Pubbl/distr/stampa",null,"Berlin : , : Springer-Verlag, , [1987]"]
[{"$nulls":4},"©1987"]
[null,null,"ISBN",null,"3-540-47762-4"]
[null,null,"Edizione",null,"[1st ed. 1987.]"]
[null,null,"Descrizione fisica",null,"1 online resource (X, 158 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1244"]
[null,null,"Disciplina",null,"514.74"]
[null,null,"Soggetti",null,"Index theorems"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"Preliminaries -- Cusps of rank one -- The heat equation on the cusp -- The Neumann laplacian on the cusp -- Manifolds with cusps of rank one -- The spectral resolution of H -- The heat kernel -- The eisenstein functions -- The spectral shift function -- The L2-index of generalized dirac operators -- The unipotent contribution to the index -- The Hirzebruch conjecture."]
[null,null,null,"Sommario/riassunto","The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. This includes the case of spinor Laplacians on (XX)-rank one locally symmetric spaces. The time-dependent approach to scattering theory is taken to derive the main results about the spectral resolution of these operators. The second part of the book deals with the derivation of an index formula for generalized Dirac operators on manifolds with cusps of rank one. This index formula is used to prove a conjecture of Hirzebruch concerning the relation of signature defects of cusps of Hilbert modular varieties and special values of L-series. This book is intended for readers working in the field of automorphic forms and analysis on non-compact Riemannian manifolds, and assumes a knowledge of PDE, scattering theory and harmonic analysis on semisimple Lie groups."]
[null,"2.","Record Nr.",null,"UNINA9910991161403321"]
[null,null,"Autore",null,"Hamed Abdallah Mohamed"]
[null,null,"Titolo",null,"Studies on the Confocal Laser Microscope / / by Abdallah Mohamed Hamed"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer Nature Switzerland : , : Imprint : Springer, , 2025"]
[null,null,"ISBN",null,"9783031872754"]
[{"$nulls":4},"3031872754"]
[null,null,"Edizione",null,"[1st ed. 2025.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XIII, 143 p. 91 illus., 42 illus. in color.)"]
[null,null,"Collana",null,"SpringerBriefs in Applied Sciences and Technology, , 2191-5318"]
[null,null,"Disciplina",null,"502.82"]
[null,null,"Soggetti",null,"Microscopy"]
[{"$nulls":4},"Geometrical optics"]
[{"$nulls":4},"Wave theory of light"]
[{"$nulls":4},"Lasers"]
[{"$nulls":4},"Image processing"]
[{"$nulls":4},"Medical physics"]
[{"$nulls":4},"Optical Microscopy"]
[{"$nulls":4},"Classical Optics, Geometric and Wave optics"]
[{"$nulls":4},"Laser Technology"]
[{"$nulls":4},"Image Processing"]
[{"$nulls":4},"Medical Physics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Basics of Confocal Scanning Laser Microscopy (CSLM) -- The Point Spread Function (PSF) for Some Modulated Apertures -- Computation of Coherent Transfer Functions (CTFs) for Some Modulated Apertures -- The Imaging of Microscopic Objects Using a Confocal Microscope -- Theoretical Study of a Coherent Non-scanned Laser Microscope (CNSM) -- Computation of the Lateral and Axial Point Spread Functions in Confocal Imaging Systems Using Binary Amplitude Mask -- Exenteration Errors Combined with Wavefront Aberration -- Aberration Studies Using a Confocal Scanning Laser Microscope -- Spatial Coherence in Confocal Microscopy for Quadratic Radially Distributed Apertures -- Spatial Coherence in Confocal Microscopy for Black and White Annular Apertures -- Application of Confocal Laser Scanning Microscopy to Cardiac Images."]
[null,null,null,"Sommario/riassunto","This book provides a thorough exploration of various modulated "]
[{"$nulls":4},"apertures and their impact on improving microscope resolution, with a focus on confocal scanning laser microscopy (CSLM). Over the course of eleven chapters, it looks at both the theoretical aspects and practical applications of different aperture shapes. Chapters 1 and 2 review apertures with linear, quadratic, and concentric black-and-white (B/W) zones, along with linear-quadratic and polynomial designs. Additionally, apertures with Hamming, Cauchy, rectangular, and hexagonal shapes are analyzed for their potential to enhance imaging performance. Chapter 3 presents the computation of coherent transfer functions (CTFs) for selected modulated apertures, offering insights into their influence on imaging quality. Chapter 4 focuses on confocal microscopes, exploring how these apertures affect the imaging of microscopic objects. A theoretical study of coherent non-scanned laser microscopes (CNSM) is covered in Chapter 5. Chapter 6 addresses the computation of lateral and axial point spread functions (PSFs) in confocal imaging systems that use binary amplitude masks, while Chapter 7 investigates the effects of misalignment errors combined with wavefront aberrations in systems using linear and quadratic apertures. In Chapter 8, diffraction intensity is calculated for a confocal microscope with a laterally displaced truncated Gaussian aperture, extending the principles of Marechal microscopy to confocal scanning microscopy. Chapters 9 and 10 examine spatial coherence in confocal optical systems, particularly in the context of quadratic and concentric B/W apertures. The book concludes in Chapter 11 with an application of cardiac apertures in CSLM, demonstrating their use in processing cardiac images. This work serves as a valuable reference for researchers and professionals interested in advancing microscope resolution through innovative aperture design and analysis."]