The Maximal Spectral Type of a Rank One Transformation

1994 ◽  
Vol 37 (1) ◽  
pp. 29-36 ◽  
Author(s):  
J. R. Choksi ◽  
M. G. Nadkarni
Keyword(s):  
Spectral Type ◽  
Discrete Measure ◽  
Riesz Product ◽  
Rank One ◽  
General Rank

AbstractIn this paper it is shown that the maximal spectral type of a general rank one transformation is given by a kind of generalized Riesz product, with possibly some discrete measure.

On the maximal spectral type of a class of rank one transformations

2012 ◽  
Vol 27 (4) ◽  
pp. 515-523 ◽  
Author(s):  
Christoph Aistleitner ◽  
Markus Hofer
Keyword(s):  
Spectral Type ◽  
Rank One

The Group of Eigenvalues of a Rank One Transformation

1995 ◽  
Vol 38 (1) ◽  
pp. 42-54 ◽  
Author(s):  
J. R. Choksi ◽  
G. Nadkarni
Keyword(s):  
Spectral Type ◽  
Rank One

AbstractIn this paper, several characterizations are given of the group of eigenvalues of a rank one transformation. One of these is intimately related to the corresponding expression for the maximal spectral type of a rank one transformation given in an earlier paper.

Rank one transformations with singular spectral type

1997 ◽  
Vol 98 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Ivo Klemes ◽  
Karin Reinhold
Keyword(s):  
Spectral Type ◽  
Rank One

scholarly journals Upper bounds for geodesic periods over rank one locally symmetric spaces

2018 ◽  
Vol 30 (5) ◽  
pp. 1065-1077 ◽  
Author(s):  
Jan Frahm ◽  
Feng Su
Keyword(s):  
Symmetric Spaces ◽  
Automorphic Forms ◽  
Upper Bounds ◽  
Hyperbolic Manifolds ◽  
Locally Symmetric Spaces ◽  
Ambient Manifold ◽  
Rank One ◽  
General Rank ◽  
Laplace Eigenvalues ◽  
Periods Of Automorphic Forms

AbstractWe prove upper bounds for geodesic periods of automorphic forms over general rank one locally symmetric spaces. Such periods are integrals of automorphic forms restricted to special totally geodesic cycles of the ambient manifold and twisted with automorphic forms on the cycles. The upper bounds are in terms of the Laplace eigenvalues of the two automorphic forms, and they generalize previous results for real hyperbolic manifolds to the context of all rank one locally symmetric spaces.

scholarly journals A new class of rank-one transformations with singular spectrum

2007 ◽  
Vol 27 (5) ◽  
pp. 1541-1555 ◽  
Author(s):  
EL HOUCEIN EL ABDALAOUI
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Spectral Type ◽  
Trigonometric Sums ◽  
New Class ◽  
Singular Spectrum ◽  
The Central Limit Theorem ◽  
Rank One ◽  
New Applications

AbstractWe introduce a new tool to study the spectral type of rank-one transformations using the method of the central limit theorem for trigonometric sums. We get some new applications.

Some Results of the Spectroscopic Study of Four Close Binary Systems of Early Spectral Types

1965 ◽  
Vol 5 ◽  
pp. 120-130
Author(s):  
T. S. Galkina
Keyword(s):  
Spectroscopic Study ◽  
Spectral Type ◽  
Spectroscopic Investigation ◽  
Binary Systems ◽  
Quantitative Information ◽  
Close Binary ◽  
Physical Parameters ◽  
Absorption And Emission ◽  
Close Binary Systems ◽  
Quantitative Estimates

It is necessary to have quantitative estimates of the intensity of lines (both absorption and emission) to obtain the physical parameters of the atmosphere of components.Some years ago at the Crimean observatory we began the spectroscopic investigation of close binary systems of the early spectral type with components WR, Of, O, B to try and obtain more quantitative information from the study of the spectra of the components.

The Eclipsing Binary WX Eridani

1979 ◽  
Vol 46 ◽  
pp. 385
Author(s):  
M.B.K. Sarma ◽  
K.D. Abhankar
Keyword(s):  
Light Curve ◽  
Spectral Type ◽  
Orbital Period ◽  
Primary Component ◽  
Light Curves ◽  
Absorption Feature ◽  
Primary Star ◽  
Eclipsing Binary ◽  
The Times ◽  
Phase Angles

AbstractThe Algol-type eclipsing binary WX Eridani was observed on 21 nights on the 48-inch telescope of the Japal-Rangapur Observatory during 1973-75 in B and V colours. An improved period of P = 0.82327038 days was obtained from the analysis of the times of five primary minima. An absorption feature between phase angles 50-80, 100-130, 230-260 and 280-310 was present in the light curves. The analysis of the light curves indicated the eclipses to be grazing with primary to be transit and secondary, an occultation. Elements derived from the solution of the light curve using Russel-Merrill method are given. From comparison of the fractional radii with Roche lobes, it is concluded that none of the components have filled their respective lobes but the primary star seems to be evolving. The spectral type of the primary component was estimated to be F3 and is found to be pulsating with two periods equal to one-fifth and one-sixth of the orbital period.

Derivation of the Wave and Scattering Operators for an Interaction of Rank One

1970 ◽  
Vol 11 (8) ◽  
pp. 2415-2424 ◽  
Author(s):  
M. Anthea Grubb ◽  
D. B. Pearson
Keyword(s):  
Rank One ◽  
Scattering Operators

scholarly journals Ramification Theory for Extensions of Degree p. II

1972 ◽  
Vol 46 ◽  
pp. 97-109
Author(s):  
Susan Williamson
Keyword(s):  
Valuation Ring ◽  
Quotient Field ◽  
Root Of Unity ◽  
Ramification Index ◽  
Ramification Theory ◽  
Rank One ◽  
The Absolute

Let k denote the quotient field of a complete discrete rank one valuation ring R of unequal characteristic and let p denote the characteristic of R̅; assume that R contains a primitive pth root of unity, so that the absolute ramification index e of R is a multiple of p — 1, and each Gallois extension K ⊃ k of degree p may be obtained by the adjunction of a pth root.

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