scholarly journals Unitary Equivalence and Similarity to Jordan Models for Weak Contractions of Class C0

2015 ◽  
Vol 67 (1) ◽  
pp. 132-151
Author(s):  
Raphaël Clouâtre
Keyword(s):  
Blaschke Product ◽  
Main Tool ◽  
Unitary Equivalence ◽  
Finite Multiplicity ◽  
Minimal Function ◽  
Boundary Representations ◽  
Class C

AbstractWe obtain results on the unitary equivalence of weak contractions of class C0 to their Jordan models under an assumption on their commutants. In particular, our work addresses the case of arbitrary finite multiplicity. The main tool in this paper is the theory of boundary representations due to Arveson. We also generalize and improve previously known results concerning unitary equivalence and similarity to Jordan models when the minimal function is a Blaschke product.

Surgical Management of Class C and D Glomus Jugulare Tumors: Fisch Infratemporal Fossa Type A Approach

2020 ◽  
Author(s):  
Yin Xia ◽  
Yubin Xue ◽  
Ting Ye ◽  
Xiaopeng Qu ◽  
Xukun Yan ◽  
...  
Keyword(s):  
Surgical Management ◽  
Infratemporal Fossa ◽  
Type A ◽  
Glomus Jugulare ◽  
Class C

A Constant-Current-Controlled Class-C Voltage-Controlled Oscillator using Self-Adjusting Replica Bias Circuit

2015 ◽  
Vol E98.C (6) ◽  
pp. 471-479
Author(s):  
Teerachot SIRIBURANON ◽  
Wei DENG ◽  
Kenichi OKADA ◽  
Akira MATSUZAWA
Keyword(s):  
Constant Current ◽  
Voltage Controlled Oscillator ◽  
Class C

Multi-parameter Singular Integrals. (AM-189)

2017 ◽  
Author(s):  
Brian Street
Keyword(s):  
Partial Differential Equations ◽  
Graduate Students ◽  
General Theory ◽  
Differential Equations ◽  
Singular Integrals ◽  
Main Tool ◽  
Classical Theorem ◽  
Quantitative Version ◽  
Linear Partial Differential Equations

This book develops a new theory of multi-parameter singular integrals associated with Carnot–Carathéodory balls. The book first details the classical theory of Calderón–Zygmund singular integrals and applications to linear partial differential equations. It then outlines the theory of multi-parameter Carnot–Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. The book then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. This book will interest graduate students and researchers working in singular integrals and related fields.

Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

2013 ◽  
Author(s):  
Friedhelm Waldhausen ◽  
Bjørn Jahren ◽  
John Rognes
Keyword(s):  
Main Tool ◽  
Homotopy Equivalence ◽  
Classifying Space ◽  
Deformation Retract ◽  
Simplicial Sets ◽  
Full Proof

Since its introduction by the author in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing the author's program from more than thirty years ago. The main result is a stable parametrized h-cobordism theorem, derived from a homotopy equivalence between a space of PL h-cobordisms on a space X and the classifying space of a category of simple maps of spaces having X as deformation retract. The smooth and topological results then follow by smoothing and triangulation theory. The proof has two main parts. The essence of the first part is a “desingularization,” improving arbitrary finite simplicial sets to polyhedra. The second part compares polyhedra with PL manifolds by a thickening procedure. Many of the techniques and results developed should be useful in other connections.

The Novel TEM Sample Preparation Approach for Targeted via with Barrier/Cu Seed Layer Inspection

2009 ◽  
Author(s):  
Wen-Fei Hsieh ◽  
Shih-Hsiang Tseng ◽  
Bo Min She
Keyword(s):  
Sample Preparation ◽  
Cross Section ◽  
Seed Layer ◽  
Target Location ◽  
Process Development ◽  
Process Integration ◽  
Ion Beam ◽  
Main Tool ◽  
Dual Beam ◽  
Sample Preparation Procedure

Abstract In this study, an FIB-based cross section TEM sample preparation procedure for targeted via with barrier/Cu seed layer is introduced. The dual beam FIB with electron beam for target location and Ga ion beam for sample milling is the main tool for the targeted via with barrier/Cu seed layer inspection. With the help of the FIB operation and epoxy layer protection, ta cross section TEM sample at a targeted via with barrier/Cu seed layer could be made. Subsequent TEM inspection is used to verify the quality of the structure. This approach was used in the Cu process integration performance monitor. All these TEM results are very helpful in process development and yield improvement.

To the discussion about the modern world order

2020 ◽  
pp. 35-41
Author(s):  
A. Mustafabeyli
Keyword(s):  
Soviet Union ◽  
Intergovernmental Relations ◽  
World System ◽  
Main Tool ◽  
World Order ◽  
Modern World ◽  
The Soviet Union ◽  
The World ◽  
And Behavior ◽  
Second World

In many political researches there if a conclusion that the world system which was founded after the Second world war is destroyed of chaos. But the world system couldn`t work while the two opposite systems — socialist and capitalist were in hard confrontation. After collapse of the Soviet Union and the European socialist community the nature of intergovernmental relations and behavior of the international community did not change. The power always was and still is the main tool of international communication.

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