scholarly journals Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms

2011 ◽  
pp. 83-106 ◽  
Author(s):  
Daniel Lenz ◽  
Peter Stollmann ◽  
Ivan Veselić
Keyword(s):  
Spectral Theory ◽  
Dirichlet Forms ◽  
Generalized Eigenfunctions

scholarly journals Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory

2014 ◽  
Vol 266 (8) ◽  
pp. 4765-4808 ◽  
Author(s):  
Rupert L. Frank ◽  
Daniel Lenz ◽  
Daniel Wingert
Keyword(s):  
Spectral Theory ◽  
Dirichlet Forms ◽  
Intrinsic Metrics ◽  
Non Local

Bloch waves and multiparameter spectral theory

1983 ◽  
Vol 95 (1-2) ◽  
pp. 73-93 ◽  
Author(s):  
B. P. Rynne ◽  
B. D. Sleeman
Keyword(s):  
Spectral Theory ◽  
Eigenfunction Expansion ◽  
Schrödinger Operators ◽  
Schrodinger Operators ◽  
Bloch Waves ◽  
Generalized Eigenfunctions

SynopsisWe study the spectral theory of a multiparameter system of periodic Schrödinger operators. Bloch waves are generalized eigenfunctions of these operators and are used to give eigenfunction expansion theorems and to derive some properties of the spectrum of the system.

To the spectral theory of partially ordered sets

2018 ◽  
Vol 60 (3) ◽  
pp. 578-598
Author(s):  
Yu. L. Ershov ◽  
M. V. Schwidefsky
Keyword(s):  
Spectral Theory ◽  
Partially Ordered Sets ◽  
Ordered Sets ◽  
Partially Ordered

SPECTRAL THEORY OF 2-D PHOTONIC CRYSTALS: ANALYTICAL GROUNDS

2016 ◽  
Vol 75 (16) ◽  
pp. 1417-1433 ◽  
Author(s):  
Yurii Konstantinovich Sirenko ◽  
K. Yu. Sirenko ◽  
H. O. Sliusarenko ◽  
N. P. Yashina
Keyword(s):  
Photonic Crystals ◽  
Spectral Theory

Detection Filter Design: Spectral Theory and Algorithms

1986 ◽  
Author(s):  
John E. White ◽  
Jason L. Speyer
Keyword(s):  
Spectral Theory ◽  
Filter Design ◽  
Detection Filter

scholarly journals Lower estimates of heat kernels for non-local Dirichlet forms on metric measure spaces

2017 ◽  
Vol 272 (8) ◽  
pp. 3311-3346 ◽  
Author(s):  
Alexander Grigor'yan ◽  
Eryan Hu ◽  
Jiaxin Hu
Keyword(s):  
Dirichlet Forms ◽  
Heat Kernels ◽  
Metric Measure Spaces ◽  
Measure Spaces ◽  
Non Local
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