diff 91bce0c..f6bf760 annular_triangular_hilbert_v2.txt
diff --git a/annular_triangular_hilbert_v2.txt b/annular_triangular_hilbert_v2.txt
index 0544e83..90cbb51 100644
--- a/annular_triangular_hilbert_v2.txt
+++ b/annular_triangular_hilbert_v2.txt
@@ -27,12 +27,12 @@ BH on a wide range of L^p products is due to Lacey and Thiele; the proof decompo
 frequency plane into tilted wave packets and selects coherent
 trees.
 
-    ./lacey-thiele-1997.pdf
+    ./pdf/lacey-thiele-1997.pdf
 
 Demeter and Thiele later isolate a two-dimensional analogue in
 which the two inputs move along perpendicular axes.
 
-    ./0803.1268.pdf
+    ./pdf/0803.1268.pdf
 
 For complex functions F, G of two real variables and 0 < eps <
 R < infinity the annular triangular Hilbert transform is
@@ -66,15 +66,15 @@ of specified structure is constructed by Kovac, Thiele, and
 Zorin-Kranich. That work also states the cyclic trace formulation
 and the equivalence of the flat and simplex forms.
 
-    ./1506.00861.pdf
+    ./pdf/1506.00861.pdf
 
 Tao proves sublogarithmic cancellation for the one-dimensional
 multilinear Hilbert transform, and Zorin-Kranich extends the
 technique to the simplex Hilbert transform over finitely many
 smooth scales.
 
-    ./1505.06479.pdf
-    ./1507.02436.pdf
+    ./pdf/1505.06479.pdf
+    ./pdf/1507.02436.pdf
 
 Durcik, Kovac, Skreb, and Thiele obtain square-function and
 norm-variation estimates for the triangular form over finitely many
@@ -85,22 +85,22 @@ sqrt(log(R/eps)) at the symmetric point. Both estimates retain a
 dependence on the range of scales, and neither places the supremum
 over output-dependent partitions inside the output norm.
 
-    ./1603.00631.pdf
-    ./1608.00156.pdf
+    ./pdf/1603.00631.pdf
+    ./pdf/1608.00156.pdf
 
 Durcik's continuous Gaussian telescoping for entangled forms is
 the analytic template for the finite-dimensional heat identities
 used below.
 
-    ./1412.2384.pdf
-    ./1506.08150.pdf
+    ./pdf/1412.2384.pdf
+    ./pdf/1506.08150.pdf
 
 The Bellman function and twisted paraproduct work of Kovac isolate
 the obstruction that a triangular cycle presents and motivate the
 energy method.
 
-    ./1108.0917.pdf
-    ./1011.6140.pdf
+    ./pdf/1108.0917.pdf
+    ./pdf/1011.6140.pdf
 
 Grafakos, Oliveira e Silva, Pramanik, Seeger, and Stovall collect
 open problems at the symmetric point. Problem 13 in Section 9 of
@@ -113,17 +113,17 @@ that survey asks precisely for the scalar estimate proved below:
 
     with a universal constant C.
 
-    ./1701.06637.pdf
+    ./pdf/1701.06637.pdf
 
 Durcik-Roos, Christ-Durcik-Roos, Hsu-Lin, and Lin-Slavikova
 obtain related bounds by averaging a direction parameter
 or by introducing curvature into the kernel. Those mechanisms are
 distinct from the flat problem considered below.
 
-    ./1812.11701.pdf
-    ./2008.10140.pdf
-    ./2410.15791.pdf
-    ./2607.20206.pdf
+    ./pdf/1812.11701.pdf
+    ./pdf/2008.10140.pdf
+    ./pdf/2410.15791.pdf
+    ./pdf/2607.20206.pdf
 
 
 The r-th annular variation of the family { B_{eps,R} }, for real
@@ -529,7 +529,7 @@ The general gradient formula for unitarily invariant matrix
 functions is given in Lewis (J. Convex Analysis 2, 1995), of which
 the present statement is a special case.
 
-    ./lewis-1995-jca02012-convex-analysis-unitarily-invariant.pdf
+    ./pdf/lewis-1995-jca02012-convex-analysis-unitarily-invariant.pdf
 
 The cyclic mixed-trace inequality is the whole point of collecting
 the two incident blocks into one row matrix. For Hermitian
@@ -902,7 +902,7 @@ Its second derivative produces, up to constants, a rescaling of
 the truncated triangular Hilbert kernel. The exact comparison is
 the identity (hard-smooth) stated below.
 
-Smooth-switches proposition. Let G_v in C_c^infty(R^2) be
+Smooth-switches proposition. Let G_v in C_c^infinity(R^2) be
 complex. At each output pair (a, b), make a step choice of at most
 n >= 1 disjoint radius intervals (eps_j, R_j) and complex
 coefficients |beta_j| <= 1. For
@@ -1383,7 +1383,7 @@ For
 
     K_{a,b}(t)  =  sum_k Dil_{2^k} K_{a,b,k}(t)
 
-and G_v in C_c^infty(R^2),
+and G_v in C_c^infinity(R^2),
 
     | Lambda_K(G_0, G_1, G_2) |
         <=  C_{A,c} sqrt(n) log(2 + n) ||G_0||_3 ||G_1||_3 ||G_2||_3 .
@@ -1402,11 +1402,11 @@ every derivative up to order three.
 Gaussian-weighted primitive. Seek a representation K = (g_{3q} f)'''.
 Define
 
-    U(z)  =  (1/2) int_{-infty}^{z} (z - u)^2 K(u) d u .
+    U(z)  =  (1/2) int_{-infinity}^{z} (z - u)^2 K(u) d u .
 
 The three moment conditions imply, for j = 0, 1, 2,
 
-    U^{(j)}(z)  =  -1/(2-j)! int_z^{infty} (z - u)^{2-j} K(u) d u .
+    U^{(j)}(z)  =  -1/(2-j)! int_z^{infinity} (z - u)^{2-j} K(u) d u .
 
 Use the defining integral for z <= 0 and the tail integral for z >= 0;
 the Gaussian tail estimates give |U^{(j)}(z)| <= C exp(-c_1 z^2) for
@@ -1421,7 +1421,7 @@ points bounds the classical derivative of f''' by C exp(-c_2 z^2);
 the jumps at the exceptional points are bounded by C, and there are
 at most A m of them. Thus
 
-    ||f^{(j)}||_{infty}  <=  C ,    Var(f^{(j)}) <= C m ,   0 <= j <= 3 .
+    ||f^{(j)}||_{infinity}  <=  C ,    Var(f^{(j)}) <= C m ,   0 <= j <= 3 .
 
 Fourier bounds. Normalize
 f_hat(xi) = (2 pi)^{-1} int f(z) e^{-i xi z} d z. Let
@@ -1442,7 +1442,7 @@ C m / D, using Plancherel f_hat''' = (i xi)^3 f_hat, and using
 
 For D = 1 both bounds follow from the Gaussian decay and m >= 1.
 
-A finite frequency cutoff. Choose chi in C_c^infty(R) supported on
+A finite frequency cutoff. Choose chi in C_c^infinity(R) supported on
 [-2, 2] and equal to one on [-1, 1], let P_* = (2 + n)^8, and put
 
     f_hat_*(xi)  =  f_hat(xi) chi(xi / P_*) ,
@@ -1737,7 +1737,7 @@ operator gives, with the maximal functions of the tail,
 By density and continuity of B_* in the pair (F, G), the same tail
 convergence extends to all complex F, G in L^3(R^2). Uniqueness of
 the bounded bilinear extension follows from the density of
-C_c^infty and from the maximal bound.
+C_c^infinity and from the maximal bound.
 
 Optimal scalar constant. Let C_S be the common optimal constant of
 the uniform family of individual bilinear bounds
@@ -1774,4 +1774,4 @@ supplies the gradient formula across matrix rank changes. Kwong
 (Proc. Amer. Math. Soc. 51, 1975) supplies the Loewner order facts
 for the square root of a positive matrix.
 
-    ./0910.1555.pdf
+    ./pdf/0910.1555.pdf