Estimates of operator polynomials in symmetric spaces. Functional calculus for absolute contraction operators

1979 ◽  
Vol 25 (6) ◽  
pp. 464-471 ◽  
Author(s):  
V. V. Peller
Keyword(s):  
Functional Calculus ◽  
Symmetric Spaces ◽  
Absolute Contraction

Properties of the Local Functional Calculus

2002 ◽  
Vol 102 (2) ◽  
pp. 215-225
Author(s):  
Teresa Bermύdez ◽  
Manuel González ◽  
Antonio Martinόn
Keyword(s):  
Functional Calculus ◽  
Local Functional

Mean ergodic theorem in function symmetric spaces for infinite measure

2018 ◽  
Vol 2018 (1) ◽  
pp. 35-46
Author(s):  
Vladimir Chilin ◽  
◽  
Aleksandr Veksler ◽  
Keyword(s):  
Ergodic Theorem ◽  
Symmetric Spaces ◽  
Infinite Measure ◽  
Mean Ergodic Theorem

Correction to the article Relative spherical functions on℘-adic symmetric spaces (three cases)

2008 ◽  
Vol 236 (1) ◽  
pp. 195-200 ◽  
Author(s):  
Omer Offen
Keyword(s):  
Symmetric Spaces ◽  
Spherical Functions

On a characteristic property of the Lorentz space in the class of symmetric spaces

1970 ◽  
Vol 7 (5) ◽  
pp. 378-381 ◽  
Author(s):  
D. V. Salekhov
Keyword(s):  
Lorentz Space ◽  
Symmetric Spaces ◽  
Characteristic Property

scholarly journals Oscillating multipliers on rank one locally symmetric spaces

2021 ◽  
Vol 494 (1) ◽  
pp. 124561
Author(s):  
Effie Papageorgiou
Keyword(s):  
Symmetric Spaces ◽  
Locally Symmetric Spaces ◽  
Rank One

scholarly journals THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES

2021 ◽  
pp. 1-20
Author(s):  
SANJIV KUMAR GUPTA ◽  
KATHRYN E. HARE
Keyword(s):  
Symmetric Space ◽  
Symmetric Spaces ◽  
Continuous Measure ◽  
Convolution Product ◽  
Absolutely Continuous ◽  
Regular Elements ◽  
Connected Subgroup ◽  
Decay Properties ◽  
Absolutely Continuous Measure ◽  
Special Case

Abstract Let $G/K$ be an irreducible symmetric space, where G is a noncompact, connected Lie group and K is a compact, connected subgroup. We use decay properties of the spherical functions to show that the convolution product of any $r=r(G/K)$ continuous orbital measures has its density function in $L^{2}(G)$ and hence is an absolutely continuous measure with respect to the Haar measure. The number r is approximately the rank of $G/K$ . For the special case of the orbital measures, $\nu _{a_{i}}$ , supported on the double cosets $Ka_{i}K$ , where $a_{i}$ belongs to the dense set of regular elements, we prove the sharp result that $\nu _{a_{1}}\ast \nu _{a_{2}}\in L^{2},$ except for the symmetric space of Cartan class $AI$ when the convolution of three orbital measures is needed (even though $\nu _{a_{1}}\ast \nu _{a_{2}}$ is absolutely continuous).

On conformally symmetric spaces

1985 ◽  
Vol 18 (1) ◽  
Author(s):  
H.K. Nickerson
Keyword(s):  
Symmetric Spaces
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