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## The geometry of Kato Grassmannians

### Central European Journal of Mathematics (2005-12-01) 3: 705-717 , December 01, 2005

We discuss Fredholm pairs of subspaces and associated Grassmannians in a Hilbert space. Relations between several existing definitions of Fredholm pairs are established as well as some basic geometric properties of the Kato Grassmannian. It is also shown that the so-called restricted Grassmannian can be endowed with a natural Fredholm structure making it into a Fredholm Hilbert manifold.

## Nicht verbesserbare Summierbarkeitsbedingungen für Orthogonalreihen

### Acta Mathematica Academiae Scientiarum Hungaricae (1962-09-01) 13: 425-432 , September 01, 1962

## Computer implementation of efficient discrete-convolution algorithms

### Cybernetics and Systems Analysis (1994-01-01) 30: 106-114 , January 01, 1994

## On the Rate of Convergence of Fourier Series of Functions of Bounded Variation

### Mathematical Notes (2002-11-01) 72: 872-876 , November 01, 2002

## An approach to the solution of two-dimensional inverse problems of magnetotelluric sounding

### Computational Mathematics and Modeling (1992-07-01) 3: 267-271 , July 01, 1992

## The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems

### Computational Mathematics and Mathematical Physics (2012-05-01) 52: 756-786 , May 01, 2012

Some results concerning the computation of eigenvalues and eigenfunctions of fluid dynamics problems by applying methods of regularized traces of differential operators are presented. The presentation is focused primarily on the non-self-adjoint fourth-order Orr-Sommerfeld operator, which arises in the hydrodynamic stability theory of viscous flows.

## Decay parameter and related properties of n-type branching processes

### Science China Mathematics (2012-12-01) 55: 2535-2556 , December 01, 2012

We consider decay properties including the decay parameter, invariant measures, invariant vectors, and quasistationary distributions for *n*-type Markov branching processes on the basis of the 1-type Markov branching processes and 2-type Markov branching processes. Investigating such behavior is crucial in realizing life period of branching models. In this paper, some important properties of the generating functions for *n*-type Markov branching *q*-matrix are firstly investigated in detail. The exact value of the decay parameter *λ*_{C} of such model is given for the communicating class *C* = ℤ
_{+}^{n}
\ *0*. It is shown that this *λ*_{C} can be directly obtained from the generating functions of the corresponding *q*-matrix. Moreover, the *λ*_{C}-invariant measures/vectors and quasidistributions of such processes are deeply considered. *λ*_{C}-invariant measures and quasi-stationary distributions for the process on *C* are presented.

## γ-Sheaves on Reductive Groups

### Studies in Memory of Issai Schur (2003-01-01) 210: 27-47 , January 01, 2003

Let *G* be a reductive group over a finite field *F*
$$
= \mathbb{F}_q
$$
Fix a nontrivial additive character
$$\psi :F \to \bar{\mathbb{Q}}_{l}^{ \times }$$
In [3] we introduced certain γ-functions γG,*ρ*,ψ on the set Irr(*G*) of irreducible representations of the finite group*G*=*G*(*F*).

## Network Location: Covering Problems

### Encyclopedia of Optimization (2009-01-01): 2545-2547 , January 01, 2009

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